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PRACTICE QUESTIONS, Q:1 Represent the following on the number line :, a) 6, e), b) -8, f), c) -3, g), d) -8, h), Q:2 use number line to show :, a) 4 more than 2, b) 5 more than 6, c) 6 less than 4, d) 3 more than -1, Q:3 Add the following on the number line :, a) (3)+(9), b) (9)+(-5), c) (-7)+(-2), Q:4, subtract the following on the number line:, a) 3)-(9), b) 8-(-9), c) 7-(+9), Q:5 PLOT THE GRAPH FOR THE INFORMATION GIVEN:, , INTEGERS, +3, 0, -11, -5, , i), j), k), l), e), f), g), h), , 9 more than -8, 6 less than -2, 10 less than 4, 8 more than -5, , d), e), f), , (12)+(-5), (-5)+(-5), (-6)+(-6), , d), e), f), , 4-(-5), (8)-(-7), (-6)-(9), , +5, +4, -12, -9, , DEATH VALLEY, , jan, , feb, , march, , april, , may, , june, , july, , august, , sept, , oct, , nov, , dec, , Average maximum temprature, , 19, , 22, , 27, , 33, , 37, , 42, , 46, , 45, , 41, , 34, , 25, , 19, , average minimum temprature, , 3, , 6, , 11, , 17, , 22, , 26, , 31, , 29, , 24, , 17, , 8, , 4, , OYAMYKON, , jan, , feb, , march, , april, , may, , june, , july, , august, , sept, , oct, , nov, , dec, , Average maximum temprature, , -43, , -35, , -21, , -4, , 9, , 20, , 23, , 18, , 9, , -9, , -31, , -42, , Average minimum temprature, , -50, , -47, , -40, , -24, , -5, , 4, , 6, , 3, , -4, , -20, , -39, , -51, , Look the table and answer the following questions:, a) Which is the hottest month of the year in death valley?, b) Which is the coldest month of the year in death valley?, c) Which Is the highest month of the year in oyamykon?, d) Which is the coldest month of the year in oyamykon?, e) What is the temperature difference between the hottest and the coldest months of death valley ?], f) What is the temperature difference between the hottest temperatures of two places ?, g) What is the temperature difference between the hottest and coldest months of oyamykon?, h) What is the temperature difference between the coldest places of two places ?, Q:6 The temperature of the, PLACE, LEH, SPITI, SHIMLA, MUMBAI, TEMPERATURE, , 13°c below 0°c, , 4°below 0°c, , 6°above 0°, , a) Represent the temperature on the no. line., b) Which is the hottest and coldest places., Q:7 The temprature in leh during a particular in January is given below:, DAY, MONDAY, TUESDAY, WEDNESDAY THURSDAY, TEMPRATURE -13°, a), b), c), , -17°, , -7°, , Represent the following on the number line., Which is the coldest day of the week?, Which is the hottest day of the week?, , -6°, , 30°ABOVE 0°, , FRIDAY, , SATURDAY, , SUNDAY, , 0°, , 1°, , -4°

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d), e), Q:8, a), b), c), d), e), f), g), h), i), j), k), l), m), , Find the difference between the temperatures of the hottest and coldest day?, find the temperature difference between Monday and Tuesday?, Solve the following, 20 + (-20), 134+ (-130), 13+ (-34), -56 + (-90), -98 + (-23), -45 + ( -27), -54 + 5, -65 + 78, -97+ 100, -598 +3, -3-73, -98- 24, 45+ (-76), , =, =, =, =, =, =, =, =, =, =, =, =, =, , n), o), p), q), r), s), t), u), v), w), x), y), z), , 23 + (-32), 12 + (-3), -76 -(-7), -465 -(- 67), -897 - (- 97), 234 - (-65), 90- (-45), 23 + (87), -39 - (+3), -98 -(+ 100), +65 + (-100), -54- (+ 51), -100 - (+223), , =, =, =, =, =, =, =, =, =, =, =, =, =, , Q:9 solve the following statements:, a) Write down a pair negative integer whose difference gives 8, b) Write down a pair positive and a negative integer whose sum is -5, c) write down a pair of positive integer whose difference gives -12, d) Write down the pair of integres whose sum is 0, e) write down a pair of integer whose sum is -3, f) write down a pair of integer whose difference is -5, g) write down a pair of integer whose difference is 2, h) write down a pair of integer whose sum is 0, i) write down a pair of whose difference gives a negative integer, Q:10 Solve the following:, Q:11 PRACTICE QUESTIONS FOR HW, (-30), +, (-67), =, (+11), + (+12), =, (-23), +, (-34), =, (+23), + (-12), =, (-34), +, (-45), =, (+12), + (+65), =, (-78), +, (-100), =, (+20), + (-14), =, (-45), +, (-67), =, (+98), + (+12), =, (-34), +, (-56), =, (+56), + (-6), =, (-35), +, (-98), =, (+24), + (-56), =, (-67), +, (-98), =, (+45), + (-50), =, (-78), +, (-80), =, (+12), + (-100), =, (-6), +, (-96), =, (+25), + (-75), =, (-45), +, (-70), =, (+14), + (-45), =, (-48), +, (-56), =, (+15), + (-6), =, (-90), +, (-100), =, (+124), + (+24), =, (-45), +, (-56), =, (+34), + (-34, =, (-9), +, (-89), =, Q:12 write down the following integers whose, a) whose difference is -32=___________, f) whose sum is 10=________________, b) whose difference is 12=___________, g) whose sum is 8=________________, c) whose difference is -4=____________, h) whose sum is -40=______________, d) whose difference is 0=____________, i) whose sum is 0=______________, e) whose difference is -10=___________, j) whose sum is -4=______________

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k) whose difference is -1=_________, m) whose difference is -92=_________, l) whose sum is -23=______________, n) whose sum is -200=___________, Q:13 write the pair of :, a) A negative integer whose difference gives -6=_________, b) A negative integer whose difference gives -9=_________, c) A positive integer whose sum gives -8=__________, d) A positive integer whose sum gives -90=__________, e) A pair of negative and a positive integer whose difference is -15=____________, f) A pair of negative and a positive integer whose difference is --18=____________, Q:14, Q:15, Q:16, Q:17, Q:18, Q:19, Q:20, Q:21, Q:22, Q:23, , The sum of two integers is -17. If one of them is -2. find the other., The sum of two integers is -24. If one of them is-40. Find the other.______________, The sum of two integers is 48. If one of them is -45. Find the other no.___________, The difference of two integers is -24. If one of them is-12.find the other._________, The difference of two integers is 4. If one of the number is -15. Find the other no.__________, Subtract the sum of 38 and -49 from 100._______________, subtract the sum of -15 amd -59 from 103.______________, Add the sum of -22 and -52 to -28.________________, Add the sum of 22 and 55 to -93______________, SOLVE THE FOLLOWING, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, , -125, -54, -342, -12, -654, -215, -45, -12, -45, -123654, -2134, -3265, -21, -123654, -1245, -654, -546, -65498, -300, -6548, -213, -45, -213, -312, -45, -12, -365, -2365, , +, +, +, +, , -4, -45, -42, -32, -50, -15, -45, -12, -50, -2000, -2000, -50, -1000, -600, -245, -21, -40, -50, -221, -40, -45, -12, -100, -2005, -32, -231, 123, -4000, , =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, , 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, , -231, -3654, -3215, -236, -5489, -10000, -231, -546, -654, -23, -654, -968, -321, -5468, -3654, -32145, -325, -3215, -32166, -321, -65479, -320, -1, 0, -654, -987, -654, -65, , +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, +, , -5400, -654, -700000, -6548, -600, -5468, -6000, -1233, 654, -56, -6, -1000, -9000, -50000, -80000, -8000, -50000, -654, -654, -4, -65, -23, -45698, -2365, 0, -1000, -80000, -615, , =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =, =

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57, , Q:25, 1), 2), 3), 4), 5), 6), 7), 8), 9), 10), 11), 12), Q:26, , -654, , +, , -546, , =, , 58, , +, , -6, , -450, , =, , Q:24 In a class test containing 20 questions, 5 marks are awarded for every correct answer add -2 for every, incorrect answer and 0 for the questions not attempted ., a), Mohit get 4 correct and 6 incorrect answers. what is his score., b), Mahima gets 5 correct and 5 incorrect answers. what is her score., c), Rakhi get 2 correct and 5 incorrect answers out of 7 questions she attempted.what is score?, d), Renu attempted all questions but only 11 of her were incorrect . what is her score?, e), Prema attempted 8 questions but only one answer is correct. What is her score ?, f), Vishal gets 5 correct and 7 incorrect answers. What is her score?, solve the following:, 13), -2, x, -3, =, -3, x, 4, =, 14), -6, x, -8, =, -6, x, 8, =, 15), -6, x, -5, =, -9, x, 2, =, 16), -7, x, -5, =, -3, x, 8, =, 17), 6, x, -7, =, -8, x, 6, =, 18), 8, x, -3, =, -3, x, 7, =, 19), 9, x, -3, =, -8, X, 9, =, 20), -8, x, -4, =, 3, X, -4, =, 21), -6, x, 7, =, 5, X, -4, =, 22), -8, x, 3, =, -6, X, 7, =, 23), -6, x, -12, =, -8, X, -9, =, 24), -16, x, -4, =, -9, X, 3, =, 25), -9, x, 13, =, solve the following:, 1), -12, ÷, 2), -15, ÷, 3), -20, ÷, 4), -200, ÷, 5), -1, ÷, 6), -3, ÷, 7), -8, ÷, 8), -16, ÷, 9), -50, ÷, 10) -200, ÷, , 3, 3, 5, 20, -1, -1, -2, -4, -2, -20, , =, =, =, =, =, =, =, =, =, =, , 11), 12), 13), 14), 15), 16), 17), 18), 19), 20), , -16, -150, -20, 40, -903, -3, -81, -16, -50, -210, , ÷, ÷, ÷, ÷, ÷, ÷, ÷, ÷, ÷, ÷, , 4, -15, -10, 2, 3, -3, -9, -8, -80, 7, , =, =, =, =, =, =, =, =, =, =, , Q:27 The product of two integers is -14. If one of the integers is 2. find the other., Q:28 The product of two integers is 100. If one of the integer is -5. Find the other., Q:30 The product of three integers is -15. If two numbers is -3 and -5. Find the third value., Q:31 The product of four integers is -42. If three other numbers are -2 ,-3 and -1. Find the fourth number., PRACTICE PROBLEM SUMS, , Q.32 The temperature of a place at 5 Pm was 20C but at midnight that day, it dropped to - 70C . By how, many degrees did the temperature fall?, Q.33 In the Sahara Desert one day it was 1360F. In the Gobi Desert a temperature of - 500F was recorded., How much colde is the Gobi Desert as compare to Sahara Desert.

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Q.34 The Temperature was -60C at mid night and raised to 80C at noon. What is the temperature at 12, noon., Q.35 Rita and Amar visited two placed A and B respectively in Kashmir and recorded the minimum, temperatures on a particular day as -40C and -10C at B. which is cooler A or B and by how many degrees?, Q.36 On Monday the maximum and minimum temperature of Shimla were 8 0C and -40C respectively., The temperature fell by 40C in the mid night. What was the maximum and minimum temperature in the, mid night?, Q.37 The temperature of a place at 12:00 noon was 50C. The temperature increased by 30C in first hour, and decreased by 20C in the second hour. What was the temperature at 2:00 P.M.?, Q.38 The Temperature of a place at 10 A.M. was -40C and increased by 60C in next 5 hours and then, decreased by 20C in the next hour. What was the temperature at 4 p.m.?, Q.39 Metal mercury at room temperature is a liquid. Its melting point is -390C. The freezing point of, alcohol is -1140C. How much warmer is the melting point of mercury than the freezing point of alcohol?, Q.40 Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead sea the lowest, elevation, in 1,312 below sea level. What is the difference between these two elevations?, Q.41 In a quiz competition, team A scored -20,45,35, -40 points and team B scored -7, 18,47 and -50., Which team scored better one by how many points?, Q.42 In a quiz competition, team A scored 25, -30, -15, 10 points and team B scored -15, 20,-12, 25 points., Which team scored worst and by how many points?, Q.43 In a particular game, team A scored – 5, 10, -20, -7 and 15 points and team B scored 12, -30, 15,-16,, 8 points. Which team won and by how many points?, Q.44 In a set of 10 questions 4 marks are awarded for every correct answer and 2 marks deducted for, every wrong answer. Vikas got 4 correct and 6 wrong answers. What is his score?, Q.45 In a set of 20 questions 3 marks are awarded for every correct answer and 2 marks deducted for, every wrong answer. Rohit got 8 correct answers and rest wrong answers. What is his score?, Q:46, Mixed problems :

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a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, aa, ab, ac, , 224, -2231, -901, 844, -667, -180, -88, -90, -89, 3, -468, -90, -98, 8, -8900, -787, 988, -78, -360, -98, -298, -34, -243, -196, 572, -98, -2, -4, 9, , +, x, ÷, +, x, +, x, ÷, +, x, ÷, +, x, ÷, +, x, ÷, ÷, ÷, x, x, x, x, , -90, -89, 3, -4, -90, -90, 8, -901, -844, -667, -7, -786, -98, -12, 5, -3, -12, 0, 6, -100, -2, 2, 9, 14, -4, 0, -32, -16, -8

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a), , 2, 8, , +, , 3, 8, , =, , n), , 5, 8, , +, , 2, 8, , =, , aa), , b), , 3, 5, , +, , 1, 5, , =, , o), , 4, 7, , +, , 1, 7, , =, , bb), , =, , p), , =, , cc), , c), , 1, , +, , 4, , 2, 4, , 3, , 1, , +, , 4, , 4, , 3, 5, , 1, 5, , +, , 2, +, 17, , =, , 3, 17, , 3, , 4, , +, , 18, , =, =, , 18, , d), , 2, 6, , +, , 2, 6, , =, , q), , 2, 4, , +, , 1, 4, , =, , dd), , 3, 11, + 17, 17, , e), , 1, 9, , +, , 7, 9, , =, , r), , 3, 8, , +, , 1, 8, , =, , ee), , 2+, , 1, 2, , =, , f), , 4, 10, , s), , 4, 10, , +, , 5, 10, , =, , ff), , 3+, , 2, 3, , =, , g), , 5, 8, , =, , t), , 7, 11, , +, , 2, 11, , =, , gg), , 4+, , =, , u), , =, , hh), , 6+, , =, , ii), , 3 + 14 =, , jj), , 8 + 84 =, , h), , +, +, , 2, , +, , 7, , 2, 10, 2, 8, 2, 7, , =, , 3, , 4, , +, , 13, , 13, , =, , 2, , =, , 3, 1, , i), , 4, 8, , +, , 2, 8, , =, , v), , 5, 10, , j), , 2, 9, , +, , 5, 9, , =, , w), , 2, 7, , k), , 2, 6, , +, , 2, 6, , =, , x), , 9, 11, , +, , 2, 11, , =, , kk), , l), , 2, 4, , +, , 1, 4, , =, , y), , 11, 13, , +, , 2, 13, , =, , ll), , 3, +, 7, , 9 =, , mm), , 8, +, 9, , 13 =, , m), , 8, 10, , +, , 1, , =, , 10, , +, , 3, 7, , +, , 6, , z), , 3, 10, , 1, 5, , =, , +, , 7, , =, , 2, , =, , 7, , 1, , 1, +, 4, , 8 =, , Q:5 Subtract the following( revision exercise), a), , 4, 7, , −, , 1, 7, , =, , b), , 2, 8, , −, , 1, 8, , =, , c), , 3, 9, , −, , 2, 9, , =, , d), 9, 15, , 15, , 13, 21, , 7, , 11, 27, , −, j), −, , 2, 5, , =, , 7, 10, , −, , 4, 11, , −, , −, , 2, 6, , =, , 6, 7, , n), , 4, 12, , o), , −, , =, , m), , 3, 12, , −, , =, 7, 11, , l), , =, 7, 6, , 9, 10, , k), , =, 18, 27, , i), , −, , =, 15, 21, , h), , 21, , =, 4, 5, , 2, 17, , −, , =, 17, 21, , e), , f), , 12, , 9, 17, , g), , −, , 4, 7, , =, , 2, 4, , =, , −, , =, 3, 4, , −

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5, , p), , 7, , q), , 4, 6, , r), , 6, 11, 4, 11, , 1, 6, , 2, 11, , =, , 4, , 1, 5, , −, 6, , =, , −, , 7, , 1, , 2, 6, , z), , 6, , 1, , 10, , 9, , cc) 4 11 − 4 11, 1, , 1, , dd) 5 2 − 1 2, 5, , 4, , 7, , 3, , 3, , oo) 67 13 64 13=, , 1, , uu) 2 −, , 1, 4, 3, 4, , =, , eee), 1, 3, , 5, 7, , =, , hhh), , 729 −, , 1, 2, , 1, , 1, , bbb), , 32, , =, , ccc), , 63 − 23, , =, , ddd), , 16 − 2 3, , 1, , =, 1, , − 22 =, 1, , 1, , =, =, , 1, , lll) 17, mmm), , =, =, , =, , jjj) 134 − 13 3, kkk), , =, , =, , iii) 19 − 2 2, , 23 − 2 2, 1, , fff) 200 −, , =, , aaa), , =, , 2, 7, , 1, 3, , 1, 2, , =, , 50, 100, , 18 −, , 600 −, , zz) 12 −, , tt) 3 −, , =, , ggg), , =, , 1, , =, , =, , 2, 8, , ss) 8 − 1 2, , 2, , 4 13 − 2 13, , 3, 5, , 1, , =, , 7, , =, , xx) 6 −, yy) 7 −, , 1, 2, , ll), , 1, 3, , 2 −, , =, , rr) 3 −, , 1, , =, , ww), , 2, 7, , qq) 6 8 −, , kk) 27 3 −, , 4, , 1, , 1, , pp) 3 7 −, , =, , =, , vv) 5 − 1 4, , 13, 24, , −, , jj), , 2, , 9, , 1, , 4, , 3, , 27, 24, , =, , ii) 9 11 − 6 11, , 7 11 − 4 11 =, , nn) 5 13 − 1 13 =, , 2, , hh) 5 2 − 1 2, , 5, , =, , −, , 7, , gg) 9 4 − 7 4, 1, , =, , ee) 9 6 − 5 6 =, mm), , 3, , ff) 6 5 − 3 5, =, , 1, 6, , −, , =, , 3, , =, , −, , 2, , 1, , 4, , =, , 13 −, , 13, , bb) 8 5 − 3 5, , −, , 5, , =, , aa), , =, , 4, , =, , 2, , 4, , 35, , 10, 12, , 17, , 85 −, , 1, , 35, , v), , =, , 8, , w), , =, , u), , −, , −, , 11, , 1, 12, , x), , y), , 7, , t), , =, 2, 5, , 2, , =, , 7, , −, , s), , 27, , 3, , −, , =, 1, , 162 − 2 4, 1, , − 13 7, , =, , =, 1, , 93 − 90 2, , =

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1, , nnn), , 147 − 47, , =, , ooo), , 208 10 13 =, , ppp), , 97 − 2 11 =, , qqq), , 17 − 3 13, , 3, , 7, , 7, , 7, , =, , 4, , rrr) 12 − 3 5 =, 16 − 2, , sss), Q:6, , 7, 51, , =, , ttt) 36, , 1, , uuu), , 31 − 30 2, , vvv), , 67, , www), , 98 −, , xxx), , 18 9 −, , yyy), , 19, , 1, 3, , 1, , 3, 7, , −, , 3, , 4, 8, , 7, , 7, 17, , −, , 8, 9, 11, 17, , 9, , 12, , zzz), , 20, , =, , aaaa), , 20 15 − 15, , =, , bbbb), , 16 13 − 9 13, , cccc), , 1, 2, , =, =, , −, , 21, , 21, , 7, , 7, , =, 8, , −, , 1, 4, , =, , =, , 19, 21, , 2, , 1, , o) 6x, , 1, , 7, , i) 7x3, , 1, , p) 3x15, 2, , c) 13x4, , 23, , j) 18x3, , 1, , q) 8x32, , 5, , d) 15x7, , 6, , k) 9x16, , 3, , r) 4x16, 7, , 3, , e) 4x8, 7, , f) 4x8, , l) 7x13, , s) 8x24, , 4, , t) 7x21, , 7, , u) 7x29, , 9, , m) 16x9, 7, , g) 13x9, , 7, , n) 15x13, , SHADE THE FOLOWING:, 1, 1, a), of 2, 2, 1, , b), , 2, 1, 2, , c), Evaluate:, 3 16, a), X, , 1, 2, 1, , d), , 1, , of 3, , e), , of 4, , f), , 1, , 3, 1, 3, , 1, 1, 2, , of 3, , 1, , 1, , 1, , 2, , 3, , 4, , 1, , 2, , 1 X1 X1, , X 34, , g), , 33 X 25 X17, , c), , 9, 1, X4, 28 3, , h), , 223 X 37, , d), , 5, 6, , i), , 32 X 25 X35, , e), , 23 X 34, , j), , 408 X25, , 9, , b), , 2, 3, , 1, , 36, , 2, , X 25 X3, 2, , 3, , 2, , 1, , 1, , 1, , 1, , 4, , 2, , 1, , of 4, , of 3, , f), , 4, , 1, 4, , g), , of 3, , 25, , 5, , 1, , 6, , 7, , k), , 5 X2, , l), , 183 X 38, , m), , 684 X 94, , n), , 193 X 32, , o), , 104 X 113 X 24, , 2, , 3, , 3, , 3, , 1, , 1, , 3, , =, , 8, , Type equation here., , h) 15x13, , b) 12x2, , Q:8, , =, , 71, , Evaluate the following:, , a) 2 x, , Q: 7, , 9, , −, , 2, , 1, , =

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Q:9, , find the value of :, 3, 8, a), of 9, 4, 1, , Q:10, , 2, , b), of 23, 2, Divide the following:, 2 1, a), ÷, 9 4, b), c), d), e), f), g), h), i), j), , 1, , 22 ÷ 5, 3, ÷, 7, 1, ÷, 4, , 5, 14, 1, 8, 1, 8 ÷ 17, 1, 1, 34 ÷ 18, 2, 5÷ 11, 6, ÷ 15, 11, 9, 6 ÷ 15, 5, ÷3, 8, , 3, , c), d), k), l), m), n), o), p), q), r), s), t), , 4, , of 1 rs, , e), , 5, 8, 1, of 12, 15, 7, , 6 5 ÷ 35, , 16, 28, ÷ 42, 7, 8, 16, ÷ 9, 27, 9, 1, ÷7, 35, 4, 8, ÷ 13, 169, 1, 8, 25 2 ÷ 13, 28, 4, ÷ 35, 15, 343, 7, ÷8, 64, 19, 8, ÷ 27, 3, 21, 35, ÷, 102, 18, , 1, , 3, , u), , 364 ÷ 4, , v), , (5 4 ÷, , 1, , 2, , 1, 4, , 1, , bb), 1, , 4, , (2 7 𝑋2 5) ÷, , y), 9, , 2, 3, , 1, 9, , 1, , 2, , ⌊7 ÷, , ⌊7 ÷, , 2, 5, 2 5⌋X[9 ÷, , dd), , z) ⌊24 𝑋 2 ⌋ ÷ 3, , 1, , ⌊17 2 𝑋8 2⌋, , 40, 3, 9, ⌋X[10 ÷ 20], 21, , cc), 4, 6, ⌊15 𝑋 28⌋, , ⌊15 ÷, , ⌋X4, , ÷2 2, , 1, , 1, 10, , X2, , 45, , aa), , 9 9) ÷ 1 3, x), , 1, , of 23kg, , 2, , 24, , (18 9 ÷, , w), , 7, , z), , 1, , 16, 2, )÷3, 7, , 5, , 6, , ÷25, , 4, , 9 9], 2, , 2, , ⌊8 5 𝑋7 5⌋

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Q:11 PROBLEM QUESTIONS :, Q,1, A cake had 16 slice 5 were eaten. What fraction of the cake was left., Q.2, It is 25 km to grandma’s house. We have driven 11 km. What fraction of the way do we, have left to go., Q.3, There are 20 people in my class. A half are boy and a quarter are girls. How many adults, are there?, Q.4, , There are 80 students on a bus. Half the students are boys. How many are girls?, , Q.5, , In a class of 9 student 1/3 have cats as pets. How many students have cats?, , Q.6, At my birthday party, the girls ate 3½ pizzas and boys ate 7½ pizzas. How many pizzas, were eaten in my party., Q.7, left ?, , I bought 2½ gallon of paint but I used only ¼ gallons of the paints. How much do I have, , Q.8, , My dog is 5½ years old. My cat is 4½ years younger than my dog. How old is my cat., , Q.9, Sheela ate 3 slices of pizza. Samar ate 2 slices of pizza. There are 8 slices in pizza pie. What, fraction remains ., Q.10 Mrs. Tomer class ate ½ of cookies and Mrs. Smith’s Class ate ¼ of the cookies. How many, cookies are left?, Q.11, , Total Children in School from classes 1 to 5, , Classes, , Girls, , Boys, , I, , 13, , 32, , II, , 27, , 10, , III, , 10, , 30, , IV, , 24, , 16, , V, , 17, , 13, , a), b), c), d), e), f), g), h), , Find total number of children from classes 1 to 5., Find total number of girls from classes 1 to 5., Find total number of boys from classes 1 to 5., What fraction of the students in the school are in grade 4?, What fraction of grade 4 students are boys., What fraction of grade 5 students are girls., What fraction of the grade 1 to V students are girls., What fraction of the grade 1 to V students are boys., , Q.12, , John walked ½ of a km yesterday and ¾ of a km today. How many km has john walked.

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Q.13 Mary is preparing a final exam. She study 1½ hours on Friday. 2¼ hours on Saturday and, 2/3 hours on Sunday. How many hours she studied over the week end?, Q.14 You spent 2/3 of the money for a pair of shoes and ¼ of the money for a pen. What, fraction of the money did you use?, Q.15, Fruit, , Weight per boxes, , Apple, , 15½ Kg, , Grapes, , ¼ Kg, , Mango, , 14 Kg, , Kiwi, , ½ Kg, , Cherry, , 1/5 Kg, , Strawberry, , 1/10 Kg, , i), ii), , look at the table and answer the following questions:, , Arrange the following in ascending order., , How much will 3 boxes of strawberry and 4 boxes of Kiwi weigh., , iii) How many more does the box of Kiwi weigh than box of strawberry., iv) How many more does the box of Apple weigh than box of mango, v), , What will be the total weigh 9 boxes of cherry., , vi) How many boxes of grapes are required to make it 2 Kg., vii) How many packets of ½ kg can be made from the box of apple., viii) How much will all items weigh altogether., Q:16, , LOOK AT THE DIAGRAM AND ANSWER THE FOLLOWING QUESTIONS:, , a), b), c), d), e), f), g), h), , What is Ramu’s share in Mohan’s property., What is shyam’s share in Mohan’s property., What is kapil’s share in Ramu’s property ., What is Rohit’s share in Ramu’s property ., What is kapil’s share in shayms ’s property ., What is kapil’s share in Ragini’s property ., What is kapil’s share in Rozy’s property ., What is kapil’s share in Mani,s property .

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i), j), k), , What is Rohit’s share in Mohan’s property., What is Mani’s share in Mohan’s property., Find the share received by Rohit’s and Mani’s property., , Q:17, , work out the fraction that each letter represent., , Q:`18, , In the Diagram, shaded part shows the fraction of book read by Kavita, If total Number of pages in books are 400, , Q.18, , Q.19, , Q.20, , i), , Find the fraction of book read by Kavita, , ii), , Find the fraction of book still left for reading, , iii), , Find the number of pages read by Kavita, , iv), , Find the number of pages left for reading., , Look at the Diagram and answer the following questions., i), , Find the fraction of boys in the School, , ii), , Fraction of girls in the school, , iii), , Find the number of boys., , iv), , Also find the number of children in the school., , BOYS, , Look at the Diagram and answer the following questions, i), , Find the fraction of members who are present., , ii), , Find the fraction of members who are absent., , iii), , Number of members who attended the meeting., , iv), , Number of members who did not attend the meeting., , GIRLS =588, , TOTAL: 580, , Look at the diagram and answer the following, i), , Fraction of water in the Drum, , ii), , How much more liters of water can be added to fill the drum?, , iii), , Find the total capacity of the drum.

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Q.21 In the given diagram:, i), , Find the fraction of each trees present in the orchard., , ii), , If mango trees are 891, find the number of guava trees, , iii), , Also find the total number of trees in the orchard., EXERCISE-M, , Solve the following questions, Q.1, A man earn Rs. 18720 per months and spends, expenditure (ii) Monthly Savings., Q.2, , 5, 6, , of his income. Find his (i) monthly, , 5, , After reading 8 of a book, 168 pages are left. How many pages are there in all in the book?, 1, , Q.3, A family spent th of the monthly income of Rs 26,000 on transport. Find out there montly, 5, expenditure on transport., 5, , Q.4, At a party ,9 of the persons were dressed in black and rest of them were in white. If there, were a total of 1800 people at the party, Q.5, , 2, 3, , of the students in a class are boys and the number of girls are18, find:, , i) How many boys are there in the class., ii) what is the total strength of class., 2, , Q.6, After travelling 33km, Rahim found that 5th of his journey was still left. Find the length of, whole journey., 3, , Q.7, The printed price of the book is Rs 160. It is sold at 5th of its printed price. what is the, selling price of the book?, 3, , Q.8, Rahul was given 32 problems for homework. He has worked out 4th of them. How many, are leftv unsolved?, 4, , Q.9, After covering 5th of journey on scooter, Raju finds that he has travelled 48km. How much, journey is still left?, Q.10 In an Orchard, 1/3 of the trees are guava trees , 1/8 are banana trees and the rest are, mango trees. If there are 117 mango trees in the orchard, how many trees are these in all?, Q.11 A man had some money. He gave 2/5 of it to his son, 3/8 of it to his daughter and the, remaining amount to his wife. If his wife gets 36000, what was the total amount?, Q.12, , A drum of water is ¾ full. When 9 litres are drawn from it, it is half full., , i), , What is the capacity of the drum., , ii), , How much water does the drum hold.

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4, , 1, , Q.13, of a pole is in the mud. When of it is pulled out, an 8 metre long piece of the pole still, 7, 3, remains in the mud. What is the total length of the pole?, 1, , 1, , Q.14 Divya has 180 stamps with her. she gives 5th to Tara. Tara gives 3rd of these stamps to, Mala. How many stamps does Mala get ? How many are left with Divya and Tara?, Q.15, , 3, , 3, , In a class of 50 students, 5th are girls. Each girls brings a ribbon of length 2 4m and each, 1, , boy brings 34 m. What is the total length of ribbon collected by the 50 students?, 3, , 2, , Q.16 Kavita read 8 of a book on first day and 5 of the remainder on second day. Still 48 pages, are left unread. How much pages does the book contain?, , DECIMALS, Q:1, , SHADE THE FOLLOWING ON THE GRAPH SHEET:, a) 1.2, b) 1.45, , c) 2.1, d) 2.34

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e) 0.45, f) 2.01, g) 1.89, Q:2COMPARE THE FOLLOWING:, 1), 1.2 ________ 1.442, 2), , 2.2 ________ 2.19, , 3), , 9.6 ________ 9.5, , 4), , 6.21 ________6.210, , 5), , 4.7 ________ 1.7, , 6), , 3.682 ________ 3.965, , 7), , 9.91 ________ 9.3, , 8), , 2.1 ________ 2.01, , 9), , 9.0 ________8.0, , 10), , 4.235 ________ 2.5, , 11), , 7.7 ________ 7.2, , 12), , 6.264 ________ 6.642, , 13), , 3.177 ________ 3.623, , 14), , 7.516 ________ 7.561, , 15), , 2.9 ________ 2.995, , 16), , 8.53 ________ 8.530, , 17), , 1.59 ________ 1.54, , 18), , 3.395 ________ 3.739, , 19), , 4.6 ________ 4.06, , 20), , 9.176 ________ 9.671, , Q.3, , h) 1.09, i) 0.8, j) 0.08, 21), , 6.869 ________ 6.67, , 22), , 3.875 ________ 3.589, , 23), , 9.9 ________ 9.930, , 24), , 2.24 ________ 2.73, , 25), , 5.91 ________ 5.91, , 26), , 7.983 ________ 7.748, , 27), , 4.271 ________ 3.271, , 28), , 3.53 ________ 3.053, , 29), , 3.835 ________ 4.835, , 30), , 2.496 ________ 2.694, , 31), , 7.462 ________ 7.625, , 32), , 3.95 ________ 3.18, , 33), , 9.16 ________ 9.165, , 34), , 2.83 ________ 2.830, , 35), , 3.41 ________ 3.410, , 36), , 7.742 ________ 7.472, , 37), , 8.36 ________ 8.63, , 38), , 1.745 ________ 1.7, , 39), , 6.2 ________ 6.85, , 40), , 9.18 ________ 9.674, , Draw the following :, , a) A line segment 8.3 cm., b) A circle whose radius is 3.9cm., c) Take point ‘O’ on notebook., a), Go 4.6cm towards east. Name the end point as ‘A’., b), From ‘O’ go 4.6cm towards west. Name the point as ‘C’., c), From ‘O’ go 3.0cm towards north. Name the point as ‘B’., d), From ‘O’ go 6.6cm towards south. Name the end point as ‘D’., e), Join ; A to B, B to C, C to D

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D to A, How does the figure look like?

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Q.4, a), , Find the perimeter of the following :

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Q.5, , Add the following:, a), , 9.67, 15.98, , h), , 12.16, 34, 87.943, , b), , 6.9, 23.84, , i), , 0.007, 8.5, 30.089,, , c), , 0.75, 4.39, 0.006, , j), , 4.603 ,20.3, 0.009, , d), , 3.68, 0.576, 32.453, 12.5, , k), , 63.05, 24.839, 3.7, 16.85, , e), , 35.67, 18.794, 4.9, 31.82, , l), , 8, 0.08, 8.88, 88.888, , f), , 102.36 ,7.054, , m), , 24.653, 0.0382, 147.5, 45, , g), , 0.75, 23.892, 200.097, , Q.6, , Q.7, , subtract the following:, I. 2.975 from 8.28, , V. 6.054 from 11.26, , II. 0.75 from 1.3, , VI. 134.68 from 201.3, , III. 2.96 from 7.4, , VII. 0.785 from 4,71, , IV. 8.763 from 24, , VIII. 0.76from1.008, , Simplify the following:, a)67+ 13.85 - 29.904, , d), , 4.032 - 3.947 -3.472+ 0.943, , b), , e), , 81- 15.68- 4.2, , 16.735 + 4.06 -13.89, , c) 1- 10.5 + 12.213, Q.8, , f) 555 -55.5- 5.555, , Take out 6.345 from 8.1, Q.9, , What is the difference between 68.5 and 0.685?, , Q,10, , What is the excess of 90 over 53.865?, , Q.11, , what should be subtracted from 50 to get 34.57?, , Q.12, , what should be added to 63.47 to get 91?, , Q.13, , Manish buys a Rs 8.5 metro ticket with a Rs 50 note. How much money does he get back?, , Q.14, , A baby increases in weight from 5.58kg to 6.16 kg . How much weight has the baby gained?, , Q.15, , A piece of wire is 17 m long. If 2.37m is cut off how much is left?, , Q.16, , The bill of three meals is Rs 1443.90. The first meal costed Rs 338.30 and the second Rs 645. What, , is the cost of third meal., Q.17, , Mrs sidhu buys 51.50 kg wheat, 25.65kg rice and 4.25kg sugar. Mrs santosh buys 65.25kg wheat,, , 19 kg rice and 6.15 kg sugar. Who bought more quantity and by how much?, Q.18, , A milkman has 13 liters of milk. He gives 10.25 liters to one customer and 6.450 liters to second, , customer. How much milk is left with milkman?, Q.19, , Q.20, , Multiply:, a) 6.5x10, , e) 4.63x100, , i) 0.283x1000, , b) 0.8x10, , f) 8.279x100, , j) 6.25 x1000, , c) 9.07x10, , g) 7.8x100, , k) 5.4x1000, , d) 2.345x10, , h) 0.09x100, , l) 0.3x1000, , Multiply the following :

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a), , 2x0.3, , i) 7.8x9, , q), , b), , 8x0.05, , j) 2.4x16, , r) 6.034x12, , k)3.45x17, , s) 0.00000x18, t) 0.000009x19, , c) 3x0.009, , 12.65x13, , d), , 3x0.43, , l) 0.86x14, , e), , 2x2.45, , m), , 94.6x11, , u), , n), , 25.645x2, , v)0.023x65, w), , f) 9x0.93, g), , 2.4x3, , o), , 13.459x7, , h), , 1.5x7, , p), , 0.835x21, , Q.21, , 2.68x 30, , 0.0006x 15, , Find the product of:, a), , 5.6x1.4, , e), , b), , 2.35x7., , i) 0.028x0.9, , n), , 08, , j) 23.2x0.009, , 0.003, , 2, , f) 2.75x1.7, , k)12.365x0.00013, , o), , c) 0.37x 0.26, , g), , l) 23.098x 0.9, , 0.005, , d), , 36, , m), , p), , 0.74x6., , 7, , h), , 5.64x0., , 0.04x0., , 34.2x1., , 9.0001, , 8x0.003, , 4.0006x, , 4135.2x, , 91.2x5., , 01, , 86, Q.22, , Simplify:, a)2.3x 0.23x0.1, , e), , b), , f) 0.6x0.06x0.006, , j) 0.5x5x0.005x500, , c) 0.6x1.5x0.7, , g)1.1x2.2x0.2, , k) 30x0.003x0.03x0.3, , d), , h), , l) 15x1.5x0.15x1500, , Q.23, , 1.2x3.5x0.3, , 0.2x0.2x0.02, , 1.1x0.1x0.11, , i) 0.002x0.2x200, , 1.5x1.5x1.5, , Problem questions :, a), , The cost of 1 m cloth is Rs 150.50. find the cost of 15 m cloth?, , b), , One bag of sugar contains 85.25 kg sugar. Find the weight of sugar in 29 bags?, , c), , The cost of one pen one pen is Rs 35.75. find the cost of 15 such pens?, , d), , The cost of 1 liter refined oil is Rs 125.75. How much will you pay for 17 such packets of, , refined?, e), , A car moves with a constant speed of 56.4km per hour . How much distance will it cover in, , 3.5 hours?, f), , The wages for labourer is Rs 24.60 per hour. If he works for 6.5 hours, how much will he, , earn?, Q.24, , Divide :, a), 4, , 7.2÷, , b), 9, , 6.3÷, , c), ÷9, , 3.24, , d), 2÷12, , 60.7

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e), , 58.9, , 44÷8, f), , 85.9, , 82.0, , 77.0, , 3.45, , ÷25, j), , m), , n), , 1.87, , 8.11, , 184, , 0.7, b), , o), , u), , 34.3, , ÷2.1, c), , 75.1, , 2.52, , 9.69, , 1.30, , o), , 0.01, , p), , 0.07, , q), , 0.01, , 02÷1.7, 25.3, , 95÷1.5, g), , 37.0, , 2÷0.08, , 5÷0.9, f), , 37.0, , 08÷0.00009, , ÷1.9, e), , n), , r), , 108., , 997÷2.3, 2.04, , s), , 0.80, , 84÷0.18, , 85÷0.35, , h), , t), , 56.1, , 92÷3.2, i), 6÷0.26, j), , 0.62, , 1.29, , 6÷0.108, l), ÷0.32, , u), , 21.9, , 76÷1.64, , 5÷0.025, k), , 131., , 58÷2.15, 236., , 7.45, , v), 4÷10, , 53÷5.37, , ÷1.2, d), , m), , 796, , 5.76, , x), , 0.34, , 7÷10, 356, , y), , 0.45, , 6÷10, 7.83, , z), , 0.05, , ÷10, 14.2, , 3÷10, , 53÷0.0003, 44.1, , t), ÷87, , 5÷45, , 4.9÷, , s), , w), ÷10, , 5.1÷35, , Divide :, a), , r), , 2.48÷18, , p), , 210, , 1.8÷22, , ÷35, , 7÷25, , Q.25, , 112, , 2÷13, , 55÷15, i), , l), , q), 8.7÷33, , 5.3÷11, , 4÷14, h), , 130, , 2.4÷16, , 56÷12, g), , k), , aa), 100, , 23.6, , 7.1÷

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Q:26 If 10608÷136=78, find the values of :, a), , 106.08÷1.36, , b) 106.08÷136, , c) 106.08÷13.6, , d), , 106.08÷0.136, e) 106.08÷0.00136, Q:27, , Problem questions( + unitary method), , a), , Sohail travels 11.05 kn in 17 minutes by scooter. How many kilometers will he travel in 1, , minute?, b), , Sunny receives Rs 14965.75 after working for 25 days. How much does he earn in one day?, , c), , A boy bought 8 pencils of Rs 46.80. What is the cost of 1m of cloth?, , d), , A car covers a distance 276.75km in 4.5 hours. How much distance has car covered in 1 hour?, , e), , 14 m of a cloth costs rs 1774.50. Find the cost of 1 m cloth?, , f), , How many equal pieces, each of length 3.6cm can be cut from a rope of length 61.2 cm?, , g), , Sohail travels 11.05 km in 17 min by scooter. How many kilometers will he travel in 19.5 min?, , h), , The cost of 16.5 kg onions RS 255.75. find the cost of 2kg of onions?, , i), , Roshni pays RS 1206.50 to buy 19 books. How much more should she pay, if she buy 22 note, , books?, j), , Vidya buys 11 litre of oil for RS 940.50. Sannya buys 15litre of same oil ,how much should she, , pay?, k), , A tailor has 38.25 m of cloth to stitch 17 shirts. How much cloth is required to stitch 24 shirts?, , l), , How many jars of capacity 2.15 litre are required to empty a tank of 53.75 litre?, , m), , How many ribbons of length 1.65m can be cut from a ribbon of 52.80m?, , n), , The cost of 254.50 litre of petrol is RS 11452.50. find the cost of 1litre of petrol., , Q:28, , Given below the order details of a customer:, PRODUCT, , PRICE, , QUANTITY, , DISCOUNT, , 1, , Hot pepper sauce, , 92.75 ( per bottle), , 5, , Rs. 23.5/bottle, , 2, 3, , Apple vinegar, Flex seeds, , 116.25 ( per bottle), 230.50 ( per kg ), , 9, 1.5kg, , Rs. 43.75/bottle, Rs. 32.50/kg, , 4, 5, , McCann’s fries, Real juice, , 120.5 ( per packet ), 100.75 ( per bottle ), , 6, 12, , Rs. 25.75/packet, Rs. 32.25/packet, , 6, , Britannia cake, , 27.25 ( per packet ), , 7, , Rs. 5.75/packet, , 7, , Pasta, , 69 (per 500gm ), , 9, , Rs. 27.5/kg, , a) What is the cost of 1 kg of pasta (without discount)., b) What discount did the customer get on his order of Pasta?, c) Find the total discount he got on his order of vinegar bottles., d) Find the cost of flex seeds ordered by him (without discount)., e) Find the amount of discount he got, on his order of flex seeds., f) How much did flex seeds cost him?, , AMOUNT

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g) Fill up the last column of the table and find the final bill of the cust, , SOLVE THE FOLLOWING USING BODMAS, , a), b), c), d), e), f), g), h), i), j), k), l), 4)+2x9÷(4+2), m), 25÷5)}, n), 14}÷3[6x2+17-(2x7)], o), 5)}], p), q), 10, r), s), t), u), v), w), x), 16)}, y), ÷[3x{5+(-3)x(-2)}], , 64÷16x3, 8x15÷3+2, 2x3+6-12+4, 14÷7+2-1x3, 24÷4x2-5+2, 100÷5-20+5x4, 35-100÷20+2x5, 40-25÷5x4+10, 100÷25x4-4+20, 40÷(1-6-2)+5, 28+[6+{3x(27÷9/5)}], 27÷3x(79+{20-3 of 5+(20+4014+3{34-1815+9÷3-[5x3-{5-(857-[28-{16+(5-3-1)}], 40-6x3of 6+(25-5) ÷, (-40)of(-1)+28÷ 7, 7-{13-2(4 of -4), 27-[5+{28-(29-7)}], 48-[18-{16-(-5-4-1)}], {60x(-3)}÷45÷(-3), 39-[23-{29-(17-9-3)}], 22-3{-5of3-(-48) ÷([29-(-2){6-(7-3)}]

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z), 4}]÷{1+2of3-(3-2)}], aa) 121÷[17-{15-3(7-4)}], bb) 32÷[32+{32-(32+32-32)}], cc) 83-[29-{6÷3-(6-9÷3) ÷3}], dd) [87-12÷3of4]+(37-29)x4, ee) 500-[80-{20-(60-50)}], ff) (-21) ÷[16+(-13)]+(-5), gg) 45-[43-{9-4(3-8÷2+6)}], hh) 42-[24-{19-(14-8-4)}], , 72-[3+{18-19-, , CONSTRUCTIONS OF ANGLES USING COMPASS, GENERAL OBSERVATIONS:, ❖ As the complete angle measures 360°. As, Radius divides the circle into, 6 equal parts so measure one sector of the circle will be 60°, ❖ When radius is halved,it is divided in 12 equal parts and the sectors, thus formed will be 30°, ❖ One fourth of the radius divide it into twenty four equal parts and so on, Q.1 Bisect the following line segments.(using compass), a) 8 cm, e) 7cm, b) 6 cm, f) 5cm, c) 9cm, g) 9.7cm, d) 10cm, h) 7.5cm, Q.2 Draw the following using compass:, a) 60°, b) 120°, c) 180°, d) 240°, e) 300°, f) 360°, g) 15°, h) 45°, i), 75°, Q:3, Q.4, Q.5, Q.6, Q.7, Q.8, , j), k), l), m), n), o), p), q), r), , 105°, 135°, 150°, 165°, 195°, 210°, 225°, 240°, 255°, , i), j), k), l), , 6.4cm, 5.8 cm, 7.3cm, 6.7cm, , s), t), u), v), w), x), y), , 270°, 285°, 315°, 330°, 345°, 90°, 1, 22 °or 22.5°, , z), , 72 °or 7.5°, , Draw a line segment AB=7cm, at point ‘A’ draw ∟A=120° and at point ‘B’ ∟B=30°., Draw a line segment CD=8cm, at pont ‘C’ draw ∟c=75° and at point ‘D’ ∟D=45°., Draw a line segment AD=6cm, at point ‘A’ draw ∟A=15°and at point ‘D’ ∟D=75°, Draw a line segment AB=7cm, at point ‘A’ draw ∟A=7.5° and at point ‘B’ ∟B=22.5°., Draw a line segment AB=9cm, at point ‘A’ draw ∟A=210° and at point ‘B’ ∟B=195°., Draw a line segment CB=5cm, at point ‘C’ draw ∟C=60° and at point ‘B’ ∟B=22.5°., , 1, , 2

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Q.9, , Draw a line segment TM=8cm, at point ‘T’ draw ∟T=240° and at point ‘M’ ∟m=90°., , Construction of triangles, Q.1, , Find the midpoint of the given line segment ‘AB’. Name the mid-point as ‘Q’(.5 each), , Q:2, Draw a line llel to the given line segment ‘AN’, write the property used.( 1 mark). ( you can use, protractor or compass), a), b), , Q:3, a), , Draw the height of the given triangle to the given base ‘CD’, b), , Q:4, , Mark the vertex opposite to side AB’ as ‘w’, , Q:5, a), b), c), d), Q:6, , Answer the following questions for the given diagram:, Vertex opposite to side AB is ________, Vertex opposite to side BC is ________, Side opposite to vertex ‘C’ is _________, Side opposite to side ‘A’ is ___________, B, Draw the median ‘AD’ to base ‘AB’ in the given triangle:, , A, , C

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Q:7 Construct the triangle with following measures: 2 cm , 5cm and 6cm . how many types of triangles, are possible with these measures.(space for pasting), Q:8 Construct the triangle ABC, with following measures:(using compass ,write steps of construction, and dummy) ( to be done in the notebook), a), AB=6cm , BC=7 cm and CA = 3cm, b), BA=7cm, AC= 9cm and BC=4 cm, c), BC=8cm, CA= 7 cm and AB= 9cm, d), BC=5cm ,AB= 7 cm and CA= 8cm, Q:9, construct a triangle using measures 3cm, 3cm, 5cm. is it possible to construct the triangle if not, why ? give reason . ( space to paste), Q:10 construct a triangle ,with following measures : 6cm, 7cm , 30°. How many types of triangles are, possible with these measures, WRITE THE STEPS OF CONSTRUCTION AND MAKE ROUGH SKETCH ( FA-4 SHEET 2), Q:11 construct a triangle PQR, Where PQ=5cm, QR= 4.7cm and ∟PQR=60°, Q: 12 construct a triangle PTC given that PC=4cm ,CT=5cm and ∟ CPT=45°., Q:13 construct an isosceles triangle in which each of equal sides of length 5.3cm angle between the, two equal sides is 75°., Q:14 construct a triangle PQR in which ∟P=120°,QP=RP=4.5cm., Q:15 construct a triangle POT in which PO=5cm ∟TOP=60°,∟TPO=30°., Q:16 construct a triangle TEL, with base EL=5cm and base angles ∟E and ∟L are 45°and 60°, Q:17 construct a right angled triangle whose hypotenuse is 6 cm long and one of its side is 5cm long., Q:18 construct a right angled triangle XYZ,right angled at point ‘z’ wih sides XY=4.6cm and XZ=3.2cm., Revision ( home work), Q.1, construct a triangle ABC such that :, a) AB=5cm, BC=4.6cm and AC=4.3 cm., b) BC=6cm, CA=4cm and AB=3.5 cm., c) CA=4.8cm ,CB=4.2cm and AB=4.5cm, Q:2, construct a triangle ABC such that :, a) BC=5cm ,∟BCA=60° and CA=4.3cm, b) AB=3.7cm,∟A=45° and AC=5.3cm, Q:3, Construct a triangle XYZ such that:, a) XY=4.5 cm , ∟X=60° and ∟Y= 45°, b) YZ=5cm, ∟ZYX=30° and ∟YZX=75°, Q:4, Construct an iso-sceles triangle ABC such that AB=AC=5 cm and ∟A=60°, Q:5, construct an isosceles triangle ABC such that AB=BC=5.4 cm and ∟B=30°, Q:6, construct an equilateral triangle ABC in which BC=5cm., Q:7, construct a right angle triangle ABC in which AB=4.2 cm , BC=4.5cm and ∟B=90°, Q:8, construct a right angle triangle ABC in which ∟B=90°,BC=4cm and hypotenuse CA=5cm., Q:9, construct a right angle triangle ABC in which AC=5.4 cm , BC=3.6cm and ∟B=90°., Q:10 Draw a right angled isosceles triangle whose hypotenuse is 5.2cm long., Q:11, construct an equilateral triangle DEF, with each side 6.5 cm., Q:12 construct an isosceles triangle ABC, where AB= 5cm and AC=BC =6.5 cm., Q:13 construct a triangle PQT with sides PQ=6.6cm,QT=5.5 cm and PT=4.4cm.draw a bisector for the, bigger side., Q:14, construct a triangle PQR with PQ=4.5cm ,QR=5cm and PR=4.5 cm., Q:15 construct a triangle ABC given that AB=4cm ,BC=5cm and L ABC= 60°

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Lines and angles, Q:1 Identify the types of angles given:, a), b), , f), , g), , l), , h), , m), , c), , i), , n), , b), , c), , d), , e), , k), , o), , Q:2 Draw the angles on the following line segments:, a) Acute angle, b) Obtuse angle, c) Reflex angle, d) Straight angle, e) Complete angle, f) Right angle, a), b), c), , a), , d), , p), , d), , e), , e), , f), , f)

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a), , b), , c), , d), , e), , f), , Q:3, vertically opposite angles :, Draw an intersecting lines and measure all the angles between the lines., Wrte the observations:, a)_________________, b)_________________, , Property:_______________________________________________________________________________________, _, Q:4, linear pair of angles :, Draw a line segment ‘AC’, take a point ‘m’ on it, draw a ray ‘mp’.Measure the angles on the line semenyt thus., , Qbservation:________________________________________________________, Q:5, Angles on a straight line. ( instructions in class), , Q:6, , Complimentary angles : ( instructions in class), , Q:7 Supplementary angles : ( instructions in class), , Q:8, , Angles at a point. ( instructions in class), , Q:9, a), , Find the missing angles on the following:, b), , c)

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d), , e), , g), , j), , h), , k), , m), , a), b), c), d), e), f), , f), , i), , l), , n), , o), , Q:10 Name the following pair of angles in the given figure:, Pair of vertically opposite angles, Angles on the straight line, An acute angle, An obtuse angle, Right angles, Straight angle, , Q:11In the given figure , AOB is a straight line . find the measure of angle AOC., , Q:12 In the given figure, XOY is a straight line. Find, (a), L XOP, b) L YOP, , Q:13 In the given figure, PQR is a straight line. Find the value of ‘x’, , Q:14 In the given figure BC is produced both sides to points D and E respectively. Find the value of ‘X’.

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Q:15 In the given figure, Find the value of ‘x’. also find the measures of angle, , Q16: In the given figure , find the measure of each of the angles ., , Q:17 In the given figure, Find the value of ‘x’. find the measure of angle COD., , PARALLEL LINES, a), b), c), d) Parallel lines : If two lines are drawn in a plane such that they do not intersect, even when extended, indefinitely in both the directions, then such lines are called parallel., e) Trnsversal line: A line which intersect s two distinct lines in the plane in exactly two points. Is called a, transversal., f) Corresponding angles :, g) Pairs of interior alternate angles:, , h) Pair of exterior alternate angles:, i), , co. interior angles or allied angles:, , Q:1, , shade the following angles :name the transversal as ‘p’, , Q:2 shade the following angles : name the transversal as ‘m’:

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Q:3 shade the following angles :name the transversal as ‘p’ (colours to be specified), , a), b), c), d), , Q:4 Name the following pair of angles, If ‘f’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles:, co. interior angles or allied angles:, , a), b), c), d), , Q:5 Name the following pair of angles, If ‘f’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles:, co. interior angles or allied angles:, , a), b), c), d), , Q:6 Name the following pair of angles, If ‘m’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles:, co. interior angles or allied angles:, , a), b), c), d), , Q:7 Name the following pair of angles, If ‘g’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles:, co. interior angles or allied angles:, , a), b), c), d), e), a), b), c), d), , Q:8 Name the following pair of angles, If ‘p’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles:, co. interior angles or allied angles:, Q:9Name the following pair of angles, If ‘f’ is transversal, Corresponding angles :, Pairs of interior alternate angles:, Pair of exterior alternate angles, co. interior angles or allied angles:

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Q:10 find the value of ‘x’, , Q:11 Find the unknown angles: also. Write the properties, a) L 1=___, b) L 2=___, c) L 3=___, d) L 4=___, e) L 5=___, Q:12 find the unknown angles :write the properties, a) L 1=___, f) L 2=___, g) L 3=___, h) L 4=___, i) L 5=___, Q:13 find the unknown angles :write the properties, a) L x=___, b) Ly=___, c) Lz=___, d) LT=___, , Q:14 In each of figures below ,AB II CD. Find the unknown angles , give reasons :, a), b), c), , d), , e), , g)

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j), , h), , i)

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Triangles and its properties:, Triangle: A closed plane figure bounded by three line segments, a), b), c), d), e), , Mark its vertices as P, Q, R, Name three line segments____,____,______, Name the three angles included____,____,____, Mark the points T,M, E in the interior of the triangle ., Mark points W, Q, K in the exterior of the triangle., , Classification of the triangles ( side based ), a), b), c), , If all three sides of the triangles are different length, then the triangle is scalene ∆., A triangle having two sides of equal length, is called an isosceles ∆., A triangle having all the three sides of same length, is called equilateral ∆, , Classification of the triangles ( angle based ), a), b), c), , A triangle with all the three angles acute is called an acute angled triangle., A triangle with one obtuse angle is called an acute angled triangle., If one of the measure of angle of the triangle is 90° is called as right angle triangle., , Q:1 Clasisfy the following triangles according to three sides:, a), 7cm, 5cm, 6.5 cm, b), 3cm. 3cm, 4.2 cm, c), 3.8cm, 4.9cm,3.8cm, d), 5.2cm, 5.2cm, 5.2cm, e), 4cm, 4cm, 4cm, f), 10cm,5.3cm,6.1cm, g), 7.8cm, 7.8cm,7 cm, Q:2 Clasisfy the following triangles according to there angles:, a), 60°, 60°,60°, b), 90°, 42°,48°, c), 132°,28°,20°, d), 75°,45°, 60°, e), 110°, 35°,35°, f), 90°,30°,60°, Q:3 Activity: Properties : Angle sum property, Q:4 Activity: properties :Exterior angle property, Q:5 find the value of ‘x . Give reasons

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Q:6 find the value of ‘x’, , Q:7 In the given figure ,DEIIBC, find ‘x’, , Q:8 In the given figure, Find x,y,z, , Q:9 XYZ is a right angled isosceles triangle in which L XYZ=90°. YZ has been produced to A., , Q:10 calculate the value of each lettered angle in the following figures:, a), , b), , d), , e), , c), , f)

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Q:11 In the given figure ,∆ 𝐴𝐵𝐶 is an isosceles triangle in which AB= AC and L A = 50°, Find the measure of L B and L C, , Q:12 Find the unknown marked angles in each of the following:, a), b), c), , e), , d), , f), , PYTHAGORUS THEOREM:, ACTIVITY: OBSERVATIONS, Longest side of the right angle ∆ is ____________, , Q:13 FIND THE LENGTH MISSING SIDES FOR THE GIVEN RIGHT ANGLES:, , Q:14 Find one side of the square whose one side is given : using prime factorisation, a), 36, f), 400, k), 361, b), 49, g), 256, l), 576, c), 100, h), 625, m), 225, d), 144, i), 289, n), 784, e), 169, j), 324, o), 900, , p), q), r), s), , 2500, 1024, 1225, 1600

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t), u), , 2, , 2025

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a), Q:15 A ladder 17m long is placed at distance of 15m away from the wall to reach a window. Find the height of the, window., , b), A room is 8m long. A rod of length 10m has been fitted into the room on its floor from its one corner to the, opposite corner. What is the breadth of the room?, , c), Size of the T.V screen is identified by the of its diagonal. If the length and breadth of the screen are 24cm and, 10cm, What is the size of T.V?, , d), Due to strong wind, a part of tree 18m high broke at a distance of 5m from the ground, without separating from, the main stem, top of the tree touches the ground. At what distance from the foot of the stem did the top of the tree fall on, the ground?, , e), The length of the diagonal of a rectangular garden is 34 m. If its longer side measures 30m. find the length of the, shorter side of the garden ?, , f), A ladder 10 m long is placed against a wall . The foot of the ladder is 8m away from the wall. Find the height up to, which the ladder reaches the wall?

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AREA AND PERIMETER, Q:1 find the perimeter of the following shapes :, a), b), , e), , f), , c), , g), , d), , h), , Q:2 find the missing sides and the perimeter:, a), , b), , c)

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d), , e), , g), , h), , f), , i)

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i), , j), , if P= 90 cm, , if P=112cm, , s, Q:3 Find the area of the following figures by counting, the no. of squares:, , k), , l), , if P=144cm, , if p=125cm

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To find the area of the cemented part of the wall. Drawing the one side of the wall on sheet labeling the sides of the, windows/ door/ boards/ lockers on the sheet: (cutting ), Find the area of the shaded region in the given diagram:, a), b), , Q:12, , PROBLEM SUMS :, , a), Find the perimeter of the rectangular field whose length and breadth is 24m and 12, m respectively., b), Find the wire needed to fence a rectangular garden with length and breadth 81m and, 32m respectively twice., c), How much will a sunny pay to the carpenter to put wooden square frame with one, side 124cm at the rate of Rs 3 per cm?, d), Find the cost of fencing a rectangular garden field 54 long and 35 m wide with steel, wire at rs 5 per m, e), Each side of the square ground is 85 m. find the distance covered by man going, around the field five times?, f), The perimeter of the rectangular field is 180 cm and the breadth is 45 cm. Find the, length of the field?, g), The perimeter of the square field is 152 m. Find one side of the square field?, h), If the wire used to fence a square ground with three rounds garden is 840m. Find one, side of the garden?, i), The perimeter of the triangle is 54 cm. two of side measure 16cm and 23 cm, respectively. Find the length of third side of the triangle?, j), Tanu and Richa stitched table cloth for their dining tables. Tanu has a rectangular, table with sides 1.4m and 1m. Riya’s dining table is square shaped with side1.2 m. They, decorated their their clothes border by lace. How much lace do they have to purchase?, k), A rectangular garden has sides of length 150 m and 100 m. Abhinav want to walk at, least 5 km in the morning. How much rounds of the garden, he should take to walk 3 km., l), The perimeter of a rectangle is 68cm and length is 5.6m. Find the breadth and, perimeter of the rectangle., m), The perimeter of the rectangle is 51.8m and its length is 16.5 m. find the length and, area of the rectangle., n), The area of the rectangle is 45sq cm. find the breadth of the rectangle if length is, 15cm?

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o), The area of the rectangular field is 52m2. And its length is 5.6 m. find its breadth and, perimeter?, p), The area of the rectangular field is 19.6m 2 and its length is 5.6 m. find its breadth and, perimeter?, q), A room is 13m long and 12 m wide. How many tiles of size 25cm x15cm are needed, to cover the floor of the hall?, r), How many envelops can be made out of a sheet of paper 384cmx172cm, if each, envelope requires a piece of paper of size 16cmx12 cm?, s), A veranda 50m long and 12 m wide is to be paved with tiles, each measuring 6mx5m., Find the no. of tiles needed?, t), A room 9.5 m long and 6m wide is surrounded by a veranda 1.25 m wide. Find the, area of veranda. Calculate the cost of cementing the floor of this veranda at Rs 28 per sq, meter?, u), A rectangular grassy plot is 125m long and 74 m broad. It has a path 2.5m wide all, around inside. Find the area of the path? Also, find the cost of leveling the path at Rs 6.80, per m2?, v), A rectangular plot of land measures 95m x 72 m. inside the plot, a path of uniform, width 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass., i. Find the area of the path., ii. Find the area of the plot where the grass is to be laid?, iii. Find the cost of levelling the path at Rs 46.50 per m sq., iv. Find the cost laying the grass at Rs 3.75 per m sq., w), A square field has area of 654 sq m. A path of 12m is to be constructed around the, field? Find the area of the path thus formed

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Area of the Triangle= (base x corresponding height)÷2, Q:1, , Find the area of the following triangles :, a), b), , 4, , c), , d), , e)

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Q:2 Find the height of the triangle whose base is 8 cm and area is 32 sq cm ?, Q:3 Find the height of the triangle whose base is 5 cm and area is 100 sq cm ?, Q:4 Find the base of the triangle whose height is 12 cm and 96sq cm?, Q:5 Find the base of the triangle whose height is 5cm and 90sq cm?, Q:6, Find the area triangle:, a) Base =19cm, height=19cm, d) Base =14cm,height 4.5cm, b) Base =4cm,height=19cm, e) Base=16cm,height=14cm, c) Base=13cm ,height=7cm, f) Base =14cm,height=12cm, Q:7, , Q:8, , Q:9, , Find the base of the following :, a) Area =26 sq cm, height=2cm, b) Area =36sq cm, height=9cm, c) Area =48 sq cm, height=16cm, , d) Area =45 sq cm, height=6cm, e) Area =23.75sq cm, height=2.5cm, f) Area =71.3 sq cm, height=9.2cm, , Find the height of the triangle:, a) Area = 90sqcm, base=12cm, b) Area= 54 sq cm, base=9cm, c) Area= 46 sq cm, base=5cm, g) Area= 54 sqcm, base=9cm, , d) Area= 52 sq cm, base=18cm, e) Area= 95 sq cm, base 10cm, f) Area =136.5 sq cm, base=41cm, , FIND THE AREA OF THE SHADED PORTION :, a), , b), , c), , d), , Π, , e), , f), , g)

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h), , k), , I), , j), , l), , AREA OF THE PARRALLELOGRAM= BASE X CORRESPONDING HEIGHT, Q:1 Find the height of the following IIgms , where ‘AB’is the base:

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Q:1, , Q:2, , Find the circumference ,if radius is, a) 2.5 cm, e) 9 cm, i) 70cm, b) 6cm, f) 1.5 cm, j) 21m, c) 3.5 cm, g) 21 cm, k) 0.7m, d) 8cm, h) 14 cm, Find the radius of the circle, whose circumference is given:, a) 44 m, d) 308 cm, g) 150 cm, b) 88cm, e) 176 cm, h) 528 cm, c) 132m, f) 220 cm, i) 924 cm, Q:3, Find the diameter of the circle, whose cirtcumference is:, a) 88cm, d) 224.4cm, g) 22cm, b) 110 cm, e) 308cm, h) 21cm, c) 140.8cm, f) 404.8cm, i) 360.8cm, Q:4, Find the circumference of the circle with radius 3.4 cm ., Q:5, Find the circumference of the circle with diameter 4.6 cm, Q:6, Find the radius of the circle whose circumference 836cm, Q:7, Find the distance covered by an Athlete of a cricket ground whose radius is 30 meter?, Q:8, How much wire do we need to fence the circular field with radius 7 meter thrice?, Q: 9, An Athlete covers a distance 0f 572m by taking three rounds of a circular ground. Find the distance covered, by him in one round. Also, find the radius of the ground?, Q:10 find the distance covered by wheel of road roller with radius 31 cm?, , AREA OF THE CICLE = 𝝅, R2, Q:11, , Q:12, , Q:13, , Find the area of the circle with radius :, a) 12cm, b) 4cm, c) 4.3cm, , d) 12 cm, e) 7 cm, f) 14cm, , g) 8 cm, h) 9.2cm, i) 23cm, , Find the area of the circle with diameter:, a) 9cm, b) 4cm, c) 12cm, , d) 14cm, e) 16cm, f) 2.6cm, , g) 3.4cm, h) 5.1, i) 8.2cm, , find the radius, diameter of the circle when area is given :, a) 616 sq cm, c) 1078 sq cm, b) 154 sqcm, d) 78.5 sq cm, g) 198 sq cm, h) 1386 sq cm, , e) 2464 sq cm, f) 1232 sq cm

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Find the area of the shaded portion :, , PRACTICE QUESTIONS, , EXPONENTS

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EXPONENTS, Q:1, , Q:2, , Q:3, , Q:4, , Write in exponential form:, a) 2x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2=________________, b) 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 5=______________, c) a x a x a x a x a x a x a x=______________, d) b x b x b x b x b x b x b x b x b =________________, e) t x t x t x t x t x t x w x w x w x w x w=_____________, f) 7 x 7 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 =_____________, g) 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 7 X 7 X 7 X 5 -=________, h) 22 X 23 X 24 x 212=_____________, Simplify and write the answers in exponential form:, a) 512 x 522 x 530 =___________, b) 13 x 132 x 312 x 32 =__________, c) (-2)2 x (-2)12 =______________, d) 182 x 182 x 1812 =____________, e) 152 x 1512 x 1512 =__________, f) 192 x 19=______, g) 23100 x 23120 =___________, h) (-7)2 x (-7)9=_______, Simplify and write the following in exponential form :, a) 22 ÷ 2 =_______, f) 37 ÷ 35=_______, 3, 1, b) 3 ÷ 3 =_______, g) 513÷510=_______, c) 54 ÷ 53 =______, h) 315÷ 313=_______, 3, 1, d) 2 ÷2 =______, i) 712÷712=_______, 6, 4, e) 7 ÷ 7 =_______, j) 1313÷133=______, Simplify the following and write the exponential form:, 𝟐𝒙𝟐𝒙𝟐𝒙𝟐𝒙𝟐𝒙𝒙𝟐, a), =, 𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑, b), c), , Q:5, , 𝟑𝒙𝟑𝒙𝟑𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓, =, 𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟐𝒙𝟐𝒙𝟐, 𝟐𝒙𝟐𝒙𝟐𝒙𝟐𝒙𝟐𝒙𝟐𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓, =, 𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟕𝒙𝟕, , d), simplify and write in the exponential form:, a), 33÷3, j), 34 ÷, 3=, 6, 3, 2, b), 2 ÷2, k), 34 ÷, 7, 2=, 3 =, c), 73÷7, l), 34 ÷, 3, =, 38 =, 4, d), 5 ÷, m) 34 ÷39 =, 4, 5 =, n), 23 ÷, 5, 4, e), 3 ÷, 2=, 35 =, o), 73 ÷, f), 23 ÷, 74 =, 3, 2=, p), 54 ÷, g), 34 ÷, 56 =, 5, 3 =, q), 73 ÷, 4, 7 =, h), 75 ÷, 6, r), 73 ÷, 7 =, 4, 5, i), 3 ÷, 7 =, 5, 3 =, , k) 613÷612=_____, l) 59÷ 54=_____, m) 316÷313=______, n) 713÷72=______, o) 5100÷520______, , 𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑𝒙𝟑, =, 𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓𝒙𝟓, , s), 73 ÷, 6, 7 =, t), 73 ÷, 7, 7 =, u), 73 ÷, 4, 7 =, v), 51 ÷, 52 =, w), 51 ÷, 53 =, x) 51 ÷54 =, y), 51 ÷, 52 =, z), 720 ÷, 722 =, aa), 790 ÷, 7100 =, , bb), ÷134 =, cc), 214 =, dd), 315, ee), 790 =, ff), 74 =, gg), ÷114 =, hh), 75 =, ii), 38, jj), ÷318 =, , 132, 221 ÷, 34 ÷, 790 ÷, 721 ÷, 1121, 721 ÷, 34 ÷, 314

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Q:6, , Q:7, , Q:8, , kk), 94 ÷, 98 =, write in exponential form:, a), (32 )3=, b), (32 )2=, c), (22 )3=, d), (52 )2=, e), (24 )2=, f), (32 )2=, EVALUATE:, a) 26, b) 32, c) 43, d) 72, e) 42, f) 53, g) 112, , j), k), , Evaluate:, 1, a) (-3)2 x(3)2, , 1, , −3, , m) ( 4 )2, , 1, , (2)3, , −2, , n) ( 5 )3, , 2, (5)5, , 4, , 1, , (7)2, , l), , −2, , o) ( 3 )3, , 7, , 1, , 5, , h) (7)2 x (8)2 x4, 2, , 1, , 2, , 1, , 5, , 5, , 3, , 3, , 5, , 5, , 7, , 7, , 5, , o) (7)÷ (7)2, 7, , 5, , b), , (−43 )x3, , i), , (3) ÷ (3), , p) (11)2÷ (7)2, , c), , ( )2 x( )5, , j), , (3)2÷ (3)2, , q) (7)2÷ (7)2 x (7)3÷, , k), , (7)2÷ (7)2, , (7)2, , l), , (7)3÷ (7)2, , r), , d), e), f), g), Q:9, , h) 132, 1, i) (3)2, , 2, , 1, , 3, 2, −2, 1, ( 3 )2 x(4)3, −2, 1, ( 5 )4 x 32 x 8, 5, 1, (-3)3 x (9 )2x(5)2, 2 2, −4 2, , ( ) x( ), 3, , 9, , Find the value of, a) 30 x70 x(−4)0, b) 40 +50 +(−7)0, c) 25+(250 ), , 5, , 5, , 5, , 3, , 1, , 5, , 5, , (4)3÷ (3)2 x (7)2, , m) (9 )2÷ (9 )2, n) (9 )2÷ (9 )3, e) 90 +91 +92, f) (30 -20 ) x50, g) [(−5)2 ]3 ÷[(−5)2 ]4, , 150 𝑋152, , Q:10, , Q:11, , Q:12, , d), 15, which term in each case of the following pairs is graeter and by how much?, a) 23 x24 or, 32 x42, 2, 3, b) 5 x5 or, 25 x 35, c) 102 x100 or, 210 x20, Express each of the following as the product of the powers of the prime factors :, a), 12, g), 100, b), 36, h), 132, c), 45, i), 144, d), 25, j), 405, e), 55, k), 850, f), 90, l), 512, Express in the exponential form, 4, 625, d), a), 169, b), c), , 49, 64, 27, 25, 49, , e), f), , −243, 32, 256, 25, , m), n), o), p), , 343, 256, 3600, 1800

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Algebraic expressions, , roduction to literals / variables, , t the items you need at the staring of the year, ITEMS, QUANTITY, a), b), c), d), e), f), g), h), box, i), j), k), l), socks, , Register, Pen, Pencils, Sharpner, Eraser, Filefolder, Scale, pencil, , R, P, Q, S, E, F, M, X, , sports kit, Trousers, shirt, pair of, , K, T, H, W, , RITE DOWN THE EXPRESSIONS FOR THE FOLLOWING :, a), Expenditure on 3pencils, 2pen and 1Eraser._____________________, b), Expenditure on three registers for Hindi, 2 registers of Math and 7 registers for some other work.________________, c), Expenditure on a pencil box and a scale.____________________, d), If Nachiket bought six registers, three pens, three pencils and two erasers ._______________, e), If Himansh bought only the2 pairs of sports kit._______________, f), If Aastha bought only a pencil box._____________, g), If shaivik bought3 pair of socks and 2 trousers.________________, h), If shrwan bought 3trouser, 2 shirts and a pair of socks __________________, i), If the each child in class bought a pair of socks , a shirt and a trousers._______________, j), if Anshika bought first five items if the list ____________________, k), If snehil last five items of the list __________________, l), Anweesha’s 5 shirts costs rs 2500._______________, m), A scale and a sports kit costs Rs 312.___________, n), 3 file folders , 2 erasers and 3 sharpners cost rs 215.___________________, o), Total items in the list mentioned costs Rs 4036.________________, , Monthly requirements and expenditure, , ry, , S, , ne recharge, , P, , le bill, , C, , k packet, , M, , wspaper bill, , N, , ter bill, , W, , tricity bill, , E, , ool fees, , F, , e the expressions for the following:, a), Three months salary ________________, b), Four month,s salary and a fine of Rs 3000._______________, c), One month’s salary and two phone recharge ___________, d), One month,s school fee and a bonus of Rs 6000______________, e), One month’s salary and a fine of Rs 5000____________

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), Form 8 month’s salary I gave Rs 6000 as ‘shagun’in marriages _____________, g), Half a month salary, a news paper bill and an electricity bill.___________, h), 3 months salary and twelve school fees are the same ________________, ), One month salary and a bonus of Rs 6000 totals up to Rs 15000.________________, ), From my one month’s salary I gave a a fine of Rs 500.________________, k), My 3 month’s salary totals up to 4000.______________, ), 4 news paper bills totals to Rs 600_______________, Q:3 look at the table and make the expressions for the following statements :, Expenditure, on these, items, Day 1, , fruity, , Milk, pkt., , curd, , Bread, , kurkure, , lays, , 2, , 1, , 5, , 3, , 2, , Day 2, , 1, 2, 15, , 3, 1, 3, 2, 1, 2, 14, , Day 3, Day 4, , 4, , Day 5, , 12, , 1, 2, , 12, , 1, 4, 4, , 3, 4, , 1, 2, , 5, , 3, , 1, 4, , 12, , 13, , 42, , 15, , 23, , 4, , 1, 3, ------1, 5, 6, , Fruity=f, milk packet= m ,curd=c ,bread= b, kurkure=k ,lays=l, 1., Total expenditure for all the days separately?, 2., Total expenditure on fruity for days1 to day5?, 3., Total expenditure on lays for days 1 to day5?, 4., Total expenditure for day 1 and day2?, 5., Total expenditure for day1 to day5?, 6., Difference in expend, 7., Expenditure between day1 and day 5?, Difference in expenditure between day 5 and day 3?, 9., How many more items bought on day3 than on day 5?, Q:4 Enter the items you received from school on first daybook bill and other accessories), 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 11, 12, , ok at the table and write the expressions :

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a) f+200=1000, b), w+1000=1200, c), x+1000=-20, , d), e), f), , a+20=-205, z+20=-200, g+200=-20, , Q:3, From my one month’s salary I gave Rs 5000 as fine and left with Rs 20,000. Find the, salary with him after paying the fine., a), s-20=40, e), p-100=205, b), s-40=-40, f), z-2000=-20, c), f-25=25, g), m-300=400, d), m-23=-28, h), h-89=23, Q:4 From my 8 month’s salary ,I gave Rs 6000 as fees and left with Rs 46000. Find my one, months salary?, a) 4s-20=60, f) 4d-60=4, b) 5s-30=60, g) 2s-45=-91, c) 6s-96=60, h) 2s-35=-356, d) 7s-30=19, i) 4s-65=-60, e) 8s-20=-20, j) 3s-68=-39, Q:5 Half a plate chowmein costs Rs 60. Find the cost of full plate ?, 1, Q:6 3rd solution of paint in bucket weighs 1500 ml. Find the weight of full bucket of paint?, a), b), , 1, , s=1500, 3, 1, 2, , x=1000, , c), d), , 1, , y = 250, 3, 1, 7, , e), , x=49, , f), , 1, 7, 1, 8, , x=52, 𝑦 = 22, , Q:7 Two third of the milk in the cane is 120 l. find the total capacity of the cane ?, 2, Q:8 5 vim liquid in the bottle weighs 40 ml. find the total capacity of vim liquid in the bottle ?, a), b), c), d), , 2, , x=9, 7, 3, , e), , y=9, , f), , y=4, , g), , 8, 3, , 8, 9, , z=12, , 11, , h), , 9, , z=12, , 11, 3, , y=12, , 18, 2, , y=78, , 7, 7, , y=13, , 13, , Q:9 My two month’s salary and a bonus of Rs 1500 sums upto45000.Find one months salay?, a) 2s+1500=45000, d) 14s+12= -24, b) 3s+150=2300, e) 13s+95= -12, c) 14s+12=150, f), 14s+35= -80, Q:10 Half a salary and a bonus of Rs 6000 sums upto Rs 15000. Find the salary amount for one, day?

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a), b), c), , 1, , f+2000=5000, 2, 2, , d), , s+2000=5000, , e), , s+200=1500, , f), , 3, 2, 3, 5, , 1, , y+70=50, , 8, 1, , p+30= -40, , 7, 5, , x+600=1250, , 6, , Q:11 from 7 of the salary I gave Rs 230 to my son as a pocket money and left with Rs 3000. What, was the amount in the my pocket?, 1, 5, g) 83x=250, a) 7y-20=2000, b), c), d), e), f), , 7, , 𝑦-30=20, 8, 9, , 1, , h), , 9 7y=64, , x-11=47, , i), , 1 y-20=78, , z-12=153, , j), , 29p=78, , y-25=512, , k), , 72y=78, , y-34=98, , l), , 2 x=11, , 11, 3, 15, 9, 15, 7, 15, , 1, , 7, 7, 1, 1, 5, , Q:12 In my piggi bank I had two month’s salary. After some day, I added Rs 2500. If thrice of, this amount is Rs 39000. Find a month’s salary?, Q:13 I had eight months school fee and a bonus of Rs 35. If Twice of this amount is Rs 90000., Find my one month’s salary?, Q:14 solve the following:, a) 9(8s+35)=18, f) 4( 3x+67)=40, b)8(y+24)=808, g) 3( 14x+15)=27, c) 6(m+95)=546, h)9(9x+18)=3609, d)7(y+49)=49, i) 7( 9x+39)=49, e) 2(6y+49)=24, j) 9(8x+14)=9099, Q:15, There were some candies in the box. Sherill gave 20 candies to lakshay. She, confused her mom saying that twice the candies in the box now are 98. What was the total, no. of the candies in the box?, Q:16 Chander sir bought some notebooks on Monday. He sold 32 notebooks that day. He, asked shushant to count the number of notebooks left. Shushant told sir that thrice the, numberof notebooks left are 78. Find the number of notebooks bought by chander sir?, Q:17 solve the following:, a), 2, b), (n-23)=98, f), 5(7y-45)=80, c), 4(x-20)=56, g), 4(2x-38)=40, d), 5(x-38)=55, h), 6(7x-28)=36, e), 4(2x-89)=44, Q:18, There were some marbles in the box. Pratyaksh steal 21 marbles from that box. Akshita, said half the marble left in the box are 76. Find the number of marbles in the box?, Q:19, solve the following:, 1, 1, a) 3(x-20)=51, b) 2(x-20)=24

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c), , 1, , f), , (y-24)=56, 3, 7, , d) 8(n-28)=49, e), , g), , 2, , (5x-10)=13, , 7, , ( 4x-7)=70, , 12, 7, , (3y-77)=56, , 8, 5, , h) 8(4y-56)=45, , 3, , Q:20 Practice sums for ( H.w), a), b), c), d), e), f), g), h), , 3m=27, 3m+20=200, 4m-23=24, 9b+145=234, 12k-134=234, 6K+123=1234, 2m+20=200, 4g+23=423, , Q:21 practice sums for (H.w), a) m+20=200, b) 4m-23=24, c) 9b+145=234, d) 12k-134=234, e) 6K+123=1234, f) 2m+20=200, g) 4g+23=423, h) 23m+143=2301, i) 13p-342=123, j) 20j-400=420, k) 45-t=17, l) 89+x=125, m) 45+y=123, Q:22 solve the following:, 1, a), X- x=6, 2, 1, , b), , X-3x=7, , c), , 2X-3x=45, , d), , 3y- y=90, , e), f), g), h), , 1, , 2, , 2, , 5, 1, , 9, 1, , 1, , 4, , 1, , x-9x=6, , y- y=10, 2 3, y-5y=9, , 5, , 1, , 1, , 2 2y-2y=9, , i), j), k), l), m), n), o), p), , n), o), p), q), r), s), t), u), v), w), x), y), , 23m+143=2301, 13p-342=123, 20j-400=420, 24u+12=654, 6h-231=23, 4q-309=29, 12r-132=12, 34w-231=34, , 23-y=54, 13+t=123, 43-y=12, 45-y=96, 123-p=23, 75-w=-75, 45-2x, 24u+12=654, 6h-231=23, 4q-309=29, 12r-132=12, 34w-231=34, , q), r), , 5, 8, 3, 2, 3, , s), , p=23, y=90, w=24, , 4, 7, , t), u), v), , z), , p=91, , 13, 5, 8, 3, 2, , w), x), , 4, , w+16=24, , 3, 7, , x-32=81, , 17, , y) 3(x-443)=3426, z) 4(y+32)=248, aa) 6(a-23)=636, , p+9=23, y-3=90, , 5, , 3, , jj) 6(a-23)=636, kk) 8(u+23)=64, 3, ll) 4(q-24)=69, , 7, , mm), , p=23, , 8, 3, , aa) 2y=90, bb) 4w=24, cc) 13p=91, 5, , dd) 8p+9=23, 3, , ee) 2y-3=90, 4, , ff) 3w+16=24, gg) 7/17x-32=81, hh) 3(x-443)=3426, ii) 4(y+32)=248, , 5, , (x+12)+12=, , 4, , 57, nn), 3(m+123)+1, 23=0, ee) 4(33+12m)-12=34

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Q:23 solve the following:, a) One times a number decreased by 5 equals to 19., b)Three seventh of a number is 12. Find the number., , c) Thrice a number increased by 6 equals 39. Find the number., , d)One fourth of a number is increased by 7 and the result is multiplied by 3 we obtain 36., Find the number?, , e) A number increased by 11 gives 57. Find the number?, , f) A number exceeds its four seventh of a number by 18. Find the number?, , g) Four times a number diminished by 5 equals 19. Find the number?, , h)Four fifth of a number is greater than three- fourth of a number by 4. Find the, number?, , i), , j), , Find a number, which when added to its half, gives the number 45., The sum of two numbers is 121. If one of the number is ten times the other. Find the two numbers., , k) If 10 is added to certain number , the result is 44?, , l) One fourth of a number is increased by 7 and the result is multiplied by 3. Thus, we, obtain 36. Find the number?

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m), , 3, , In a class 0f 40 pupils, the number of girls is th of the number of boys . Find the, 5, , number of boys in class?, , n)The length of a rectangular park is three times its breadth. If the perimeter of the park, is 192 m. Find the dimensions of the park?, , 1, , 2, , o)Rohan reads 6 of a book on Friday, 3 of the same book on Saturday and the remaining, 60 pages on Sunday. Find the total number of pages in the book?, , p)The perimeter of a rectangle is 126m. If its length is 5 more than its breadth , Find the, sides of the rectangle?, , q)If one is subtracted from thrice a number, then the result is 6 . find the number?, , r) Four times a number when increased by 8 is equal to 40. Find the number., , s) Divide 230 sweets between two friends so that one gets 80 more than the other?, , t) My notebook cost 8 more than the cost of my pencil. If I bought tehm at Rs 150. Find, the cost of a book and a pencil?

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u)Mohan bought a toy whose cost is 14 less than the cost of his pen, Find the cost of pen, and toy if they cost Rs 200., , v) Raju bought 2 pouches and 3 red pens worth Rs 1235. If pen cost 13 less than the cost, of one pouch. Find the cost of pouch as well as of pen?, , w), , 2, , The sum of a number and its 3 rd is 48. What is the number?, , x) The length of the rectangular field is 20 less than its breadth, If the perimeter is is 160., Find the dimensions of the rectangle?

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EXPONENTS, , REVISION SHEET (3), Q:1 Write in exponential form:, , a), b), c), , 3X 3 X 3 X 5 X 5 X 5 X 5 X 5 X 7 X 7 X 7 X 2 X 2 X 2 X 2 =_____, 2 2 2 2 2, X X X X =______, 7 7 7 7 7, a x a x a x a x a x a x a x a x a x b x b x b x b x b x bx c x c x c =_____, , d), , ( 5 ) x ( 5 ) x ( 5 ) x ( 5 ) x( 5 ) =______, , e), , (11) x (11) x (11) x(11)=________, , Q:2, a), b), c), d), e), f), g), h), i), j), k), l), m), n), o), p), q), , Simplify and write the answers in exponential form:, 512 x 522 x 530 =___________, 13 x 132 x 312 x 32 =__________, 23100 x 23120 =___________, 1312 x1312 x 73 x 73=________, 513÷510=_______, 315÷ 313=______, 712÷712=_______, 1313÷133=_____, 73 ÷74 =_______, 51 ÷52 =_____, 51 ÷53 =______, 57÷54 =_____, 51 ÷52 =____, 720 ÷722 =___, (34 )5=____, (75)4=____, 3𝑥3𝑥3𝑥5𝑥5𝑥5𝑥5𝑥5, =_________, 7𝑥7𝑥7𝑥7𝑥2𝑥2𝑥2, , r), s), t), u), v), w), Q:3, , −3, , −3, , −3, , 5, , 5, , 5, , −3, , −3, , 5, , 2𝑥2𝑥2𝑥2𝑥2𝑥2𝑥3𝑥3𝑥3𝑥3𝑥3𝑥3𝑥5𝑥5𝑥5𝑥5𝑥5𝑥5, 7𝑥7𝑥7𝑥7𝑥7𝑥7𝑥7𝑥7𝑥7, (32 )3=_______, , =_______, , (32 )2=________, (22 )3=_________, 53÷ 53=_____, 113÷113 =____, EVALUATE:, , 𝟐, , 𝟗, , A), , (𝟑)2 ÷(𝟒)2, , C), , (𝟑)2 X (𝟒)3, , E), , (𝟒)3 X ( )2, 𝟖, , 𝟐, , 𝟑, , 𝟓, , 𝟐, , B), , (-3)2 ÷(𝟑)2, , D), , ( 𝟓 )3 X ( 𝟗 )2, , F), , (𝟑)2 X (𝟒)2, , −𝟏, , 𝟐, , −𝟓, , 𝟗

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1, , P), , x=14, , 2, , x+45=14, , 1, , q), , 8+y=8, r), , -9+b=8, , 3, 2, , 3, , 𝑥=5, , 𝑥=5, 1, , s) 5x +3=5, , 90+4x=-25, t), , 1, 7, , 𝑥-15=24, , 3t+12=-18, 1, , 7r-45=-4, , -9y+13=-14, , 1, , u) 2 𝑥 + 3 𝑥=5, , 𝑎, , v) 3 + 3 = 5, , 2-5q=-13, , 2(t-7)=128, , 13, , w) 5x+ 2 =19, , 19(4x+2)=-38, 2, , 8, , 3, , 9, , x) 𝑥=, , 15(3x-12)+2=13, , y), 𝑥 𝑥, + =42, 3 4, , 9(12+4x)-7 =11, , z) ) 4 - 7=5, , 14(2x+19)-12=32, , bb) x - 4 =, , 𝑥, , 𝑥, , 3, , 3, 4, , cc) 7 (4x-142)+15=155, , 4x+20=12, , 3x-16=8, , 2(x+6)+136=14

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One fourth of a number decreased by 7 gives 5. Find the number., , The sum of a number and 12 is 32. Find the number., , The highest marks obtained by a student in the class is thrice the lowest marks plus 9. If the highest score is, 84., What is the lowest scor ., , The perimeter of the rectangle is 70cm. if the length exceeds its breadth by 5cm.find the measuresfor, length, and breadth., , There are 48 children in class , the number of the boys is three times the number of the girls . find the, number of, boys and girls in class., , Think of a number, take away 6 from, , 3th, 4, , of the number. the result is 42.find the number, , The length of side of the triangle is 6cm. the second side is twice the third side. if the perimeter of the, triangle is 18 cm. find the sides of the triangle., , If one-fifth of the number is subtracted form one-third of that number, the result is 6. Find the number., , Priyanka subtracts thrice the number of the apples she has from 65.she finds the result to be 14.how many, apples, do she have?

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r) Twenty five less than a number is 50.______________, s) Ten times a no. increased by 11 is 121.________, t) One fifth of a number increased 29 is 39.__________, u) 15 less than 7 times a number is 48._________, v) Half the difference of a number and 20 is 40.__________, w) 10 less than twice a number is 88.__________, Q:16 write the expressions and find the value of the variable taken :, a) Find a number, which when added to its half, gives the number 45., , b) The sum of two numbers is 121. If one of the number is ten times the other. Find the two numbers., , c) Four –fifth of a number is more than three fourth of the number by 8. Find the number,, , d) The length of a rectangular is 19cm more than its breadth, if the perimeter of the rectangle is 138 cm. find the length and, breadth., , e) The length of a rectangular field exceeds its breadth by 5cm. if the perimeter of the field is 142 m , find the dimensions of, the field., , f) The price of a pair of jeans and two shirts is Rs 2,440. A pair of jeans is Rs 440 more than a shirt. Find the cost of one shirt, find the cost of one shirt and a pair of jeans., , g) The cost of 2 tables and 8 chairs is Rs2,200 . If the table costs Rs 150 more than a chair, find the cost of chair and table., , h) Mr. singh left one fourth of his property to his son, one fifth of his property to his son, one fifth of his property to his, daughter and the remaining to his wife. If his wife’s share is Rs 2,20,000. What was the worth of his total property.

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i) Lata bought a washing machine and two air conditioners for Rs 56,000. The cost of a washing machine is one –third of the, cost of the air conditioner. Find the cost of each appliances bought by lata., , j), , The cost of five pencils and six pens is Rs 150. If a pencil costs Rs five less than a pen, find the price of each., , K), , Divide 230 sweets between two friend so that one gets 80 more than the other., , l) If a number is multiplied by 6 and than 12 is subtracted from it, then the result is 60. Find the number., , m), , If 2 added to a number and the sum is multiplied by 5, thus the result is 120. Find the number.