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1, , Grade 6, Mathematics, Term 1, Contents, Unit 1: Whole numbers ........................................................................................................ 3, Activity 1 ........................................................................................................................... 3, Activity 2: Properties of numbers ...................................................................................... 6, Activity 3: Flow charts..................................................................................................... 7, Activity 4: Problem Solving ............................................................................................... 8, Unit 2: Addition & subtraction (5 digit numbers) ................................................................. 10, Activity 1: Working with 5 digit numbers ......................................................................... 10, Activity 2: Mental addition and subtraction ..................................................................... 11, Activity 3: Rounding off to the nearest 10 000 ................................................................ 12, Activity 4: Addition of 5 digit numbers............................................................................. 13, Activity 5: Subtraction of 5 digit numbers ....................................................................... 14, Activity 6: Addition and subtraction of 5 digit numbers ................................................... 15, Activity 7: Using inverse operations to check answers ................................................... 16, Activity 8: Assessment of Whole Numbers ..................................................................... 17, Unit 3: Common Fractions ................................................................................................. 21, Activity 1: Meaning of fractions ....................................................................................... 21, Activity 2: Equivalent fractions ........................................................................................ 24, Activity 3: Equivalent fractions and simplifying fractions................................................. 25, Activity 2: Fractions of groups of objects ........................................................................ 27, Activity 3: Tenths and hundredths .................................................................................. 30, Activity 4: Addition and subtraction of fractions with like denominators .......................... 32, Unit 5: Time .................................................................................................................... 34, GM 2022

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2, Activity 1: Reading, writing and telling the time .............................................................. 34, Activity 2: Centuries........................................................................................................ 36, Activity 3: Time conversions ........................................................................................... 36, Unit 6 and 7: Properties of 2D shapes ............................................................................... 37, Activity 1 ......................................................................................................................... 37, Activity 2: Closed shapes with curved and straight sides ............................................... 39, Activity 3: Quadrilaterals................................................................................................. 39, Activity 4: Matching 2D shapes and their descriptions ................................................... 40, Activity 5: Angles ............................................................................................................ 41, Activity 6 ......................................................................................................................... 42, Activity 7: Triangles ........................................................................................................ 44, Unit 8: Data Handling ..................................................................................................... 45, Activity 1: Tally, Pictograms and Graphs ........................................................................ 46, Activity 2: Finding the mode and median........................................................................ 48, Unit 9: The Data Cycle ................................................................................................... 49, Activity 2: Analysing Data ............................................................................................... 51, Unit 10: Numeric Patterns .................................................................................................. 54, Activity 1 ......................................................................................................................... 54, Activity 2: Revision of multiples from 1 to 10 .................................................................. 55, Activity 3: Flow Diagrams ............................................................................................... 56, Rule ................................................................................................................................ 56, , GM 2022

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3, , Unit 1: Whole numbers, Activity 1, 1. Copy and complete each number pattern., , 2 671, , 2 680, , 13 450, , 13 650, , 25 125, , 25 000, , 124 300, , 180 500, , 2 689, 14 450, 24 875, , 126 300, , 128 300, , 180 000, , 179 500, , 2. Write these words as numbers., a. five hundred and twelve thousand four hundred and seventy, b. one hundred and fifty seven thousand eight hundred and thirteen, c. two hundred and sixty two thousand six hundred and nineteen, d. eight hundred and seventy nine thousand and nine, , 3. Write these numbers in words., a. 178 465, b. 342 084, c. 267 585, d. 572 749, e. 245 698, f. 153 769, g. 845 701, h. 899 499, , GM 2022

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4, 4. Place Value, , Example, , 12 6 3 1 5, 1 1 1 1 1 1, , Hundred, , Thousand, , Ten, , Thousand, , b. 280 178, , Ten, , Unit, , Thousand, , What is the value of the 7 in these numbers?, a. 872 164, , Hundred, , 2 2 2, , 2 2 2, , 6 6 6, , 6 6 6, , c. 128 317, d. 547 812, e. 725 106, f., , 569 782, , g. 509 798, h. 738 526, , 5. Compare these numbers. Use < ; > or =., a. 347 852, , 347 825, , b. 632 119, , 631 119, , c. 585 258, d. 941 787, e. 446 664, f. 202 220, , 3 3 3, 585 528, 914 787, , 3 3 3, , 446 646, 220 202, , 1 1 1, , 6. Arrange these numbers from biggest to smallest., , 1 1 1, , a. 145 625; 154 625; 154 652; 145 265; 145 652, b. 730 919;, c. 70 007;, , GM 2022, , 730 199;, , 730 991; 731 999; 730 999, , 5 5 5, , 70 770;, , 70 077;, , 70 707; 70 070, , Underline, odd numbers., , 5 5 5, green.

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5, 7. Rounding off to the nearest 5, 10, 100 and 1 000., , Remember the rule for rounding off to the nearest 5:, 0, , 1, , 2, , 3, , 4, , 5, , 6, , 7, , 8, , 9, , 10, , 1 and 2 are closer to 0 than 5, , 6 and 7 are closer to 5 than to 10, , 3 and 4 are closer to 5 than 0, , 8 and 9 are closer to 10 than to Examples:, , 14≈15, , 27≈25, , 39≈40, , 91≈90, , Copy and complete the table by rounding off to the numbers shown., , 5, , Example, , 725 146, , 725 145, , 10, , 100, , 1 000, , 725 150, , 725 100, , 725 000, , a. 651 847, b. 361 705, c. 280 663, d. 419 258, e. 118 306, , 8. Prime Numbers, A prime number has only 2 factors:, the number itself and 1, , So, 5 must be a prime, number, because only 5 and 1, divide into 5 exactly., , That’s right! So, nine is not a prime number as, it has more than 2 factors: 1, 3 and 9., , GM 2022

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6, Write down the prime numbers, in your book., , 7, , 9, , 15, , 17, , 25, , 23, , 27, , 24, , 18, 33333, , 97, , 93, 91, , 99, , 95, , Activity 2: Properties of numbers, Copy and complete the following problems in your workbook, , 1. Additive property of 0, 73 + 0 = 73, , 73 – 0 =73, , a) 1415 + 0 =, , 1415 – 0 =, , b) 657 +, , 657 -, , = 657, , c), , +2784= 2784, , 378 – 0, , d)378 + 0 =, = 657, , e)9451+, , - 2784 = 0, , = 9451 9451 -, , 2. Add and subtract the same number, 315+65-65=315, , c.4 554+200-, , =4 554, , a.4 785+212-212=, , d.8 760-450+450=, , b.3 151-2 451+2 451=, , e., , +456-456=7 019, , 3. Multiplicative property of 1, 72x1=72, , 72÷1=72, , c.370x, , a.456x1=, , d.4 384÷, , b.5 716÷1=, , e., , GM 2022, , =370, =1, , ÷636=1, , =0

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7, 4. Multiply and divide by the same number, 72÷9x9=72, , c., , ÷10x10=76, , a.625÷25x25=, , d.130x, , b.25x10÷, , e.84÷12x, , =25, , ÷12=130, =84, , 5. Inverse operations, , 24+40=64 therefore 64-40=24, , 7x8=56 therefore 56÷8=7, , a.387-80=, , so 80+307=, , e.30x3=, , so 90÷3=, , b.65+125=, , so, , f.240÷6=, , so 40x6=, , 190-65=, , c.2 500+600=, , so 3 100-600=, , g.9x1 000=, , d.4 500-1 200=, , so 1 200=3 300=, , h.1 200÷40=, , so 9 000÷9=, so 40x30=, , Remember:, , Activity 3: Flow charts, , Brackets mean ‘Do that part first.’, , 1. Copy and complete the tables., a., Number 1, , 2, , 3, , 5, , 10, , 20, , 100, , 2, , 3, , 5, , 10, , 20, , 100, , 2, , 3, , 5, , 10, , 20, , 100, , 2, , 3, , 5, , 10, , 20, , 100, , X5 +2, , b., Number 1, +5 x2, c., Number 1, (x10)÷1, , d., Number 1, x3 +15, , GM 2022

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8, 2. Copy and complete each flow diagram., , x9, , +13, , +9, , -150, , x100, , Activity 4: Problem Solving, 1. Solve the following equations., a. (3x4)÷3=, , b. 12x(2+4)=, , c. 25+(10x5)=, , d. 9+8-6=, , e. (8x6)÷2=, , f. 8-(24÷4)=, , g. (3+5)x(9-2)=, , h. 6x(7-3)=, , i. (81÷9)x4=, , Remember these rules we learned in Grade 5., , Commutative Law, When you add and multiply: you can swap numbers around and still get the same answer., Examples, 3+1=1+3, and, 2x4=4x2, , Associative Law, When you add or multiply: it does not matter how you group the numbers, Examples, 1+(2+3)=(1+2)+3, GM 2022, , and, , 2x(3x4)=(2x3)x4

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9, Determine whether the following are equal to each other., Fill in = if they are the same and ≠ if they are not equal., Copy and complete., Examples, , 3x2≠3+2, , 4x5=5x4, , a., , 3+6, , 6+3, , g., , 2x(6x7), , b., , 12-4, , 4-12, , h., , 15+12, , c., d., e., f., , 3., , (, (, , (2x6)x7, , 215-12, , x, 2, 12+(10+1), (12+10)÷1, 6 (, x, 2, (15+20)+5, 15+(20+5), j., 10x1, 10÷1, ( 6), x, (10÷5)x2, 10+(5x2), k., 752-0 2 ) x752+0, ( 6, x x7, 2 ) 70x(10÷5), (6+1)x6, (6x1)+6, l., (70÷10)x5, 67 (, x x, 2, ), 6 7, x answer., Write a number sentence for each word problem. Calculate, the, x, ), 6, a. Sizwe has 85 packets of sweets to sell. If he sells7 30 packets, on Monday and 43, x, ) to sell?, packets on Tuesday, how many packets does he have left, 7, x how much money did he, b. If Sizwe sells all his packets of sweets for R20 a packet,, 2+(6x3), , (2+6)x3, , get all together?, , GM 2022, , i., , 7

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10, , Unit 2: Addition & subtraction (5 digit numbers), Activity 1: Working with 5 digit numbers, , It is important to know place value before, we + and – 5 digit numbers., , Ten, Thousand, , Thousand, c, , c, TTH, 3, , Tens, , Units, , c, , c, , c, , TH, , H, , T, , U, , 5, , 4, , 2, , 7, , c, , c, 30 000, , Hundred, , c, , 5 000, , 400, , c, , c, , 200, , 7, , 35 427, 1. Write each number in expanded notation., , Number, 98 304`, 32 345, 45 689, 63 047, 16 693, , GM 2022, , Expanded Notation, 90 000+ 8 000+ 300+ 4, , Example

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11, 2. Copy and complete the number lines., a., 73 500, , 73 400, , 73 300, , 13 250, , 12 250, , 11 250, , 49 000, , 49 500, , b., , c., 48 00, , 3. Write the pairs of numbers that make up 10 000, 6 500, , 7 045, , 7 610, , 4 268, , 8 250, , 8 050, , 1 750, , 5 732, , 3 500, , 1 950, , 2 390, , 2 955, , Activity 2: Mental addition and subtraction, 1. Copy and complete the table, , a, b, c, d, e, , Number, 42 389, 76 381, 24 123, 45 002, 37 984, , Add 10, , Add 100, , Add 1 000, , Add 10 000, , 2. Copy and complete the table, Number, a., b., c., d., e., , Subtract 10, , Subtract 100, , Subtract, 1 000, , 18 294, 17 581, 14 590, 16 900, 20 030, , 3 a. Write the numbers from smallest to biggest, 88 888, , 88 808, , 80 888, , 88 088, , 88 880, , 77 707, , 77 077, , b. Write the numbers from largest to smallest, 70 777, , GM 2022, , 77 770, , 77 777, , Subtract, 10 000

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12, 4. Supermarkets buy boxes of jelly beans in large bottles. Each small coloured block, represents 1 bottle. 1 bottle holds 1 000 jelly beans. Calculate (work out) how many, jelly beans there would be in each box., , a, , b, , c, , Activity 3: Rounding off to the nearest 10 000, , If the thousands digit is 0 1 2 3 or 4,, round off the number to the lower 10, 000, Examples:, 22 450≈20 000, , 10 100≈10 000, , 44 499≈40 000, , 83 386≈80 000, , If the thousands digit is 5 6 7 8 or 9, round off the, number to the higher 10 000, , Examples:, 77 500≈80 000, , GM 2022, , 95 000≈100 000, , 46 999≈50 000, , 88 001≈90 000

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13, Complete the table, ≈ to nearest 100, , Number, a, , 58 326, , b, , 75 899, , c, , 17 453, , d, , 22 126, , e, , 46 268, , ≈ to nearest 1 000, , ≈ to nearest 10 000, , Activity 4: Addition of 5 digit numbers, Different methods can be used to add:, Method 1:, , 29 465+ 19 076=?, 29 465 = 20 000 + 9 000 + 400 + 60 + 5, + 19 076 = 10 000 + 9 000 +, , 0 + 70 + 6, , = 30 000 + 18000 + 400 + 130 + 11, = 40 000 + 8 000 + 500 + 40 + 1, = 48 541, , Method 2:, 1, , 1, , 1, , 1, , 47 897, +32 139, 80 036, , 1. Round off and calculate, , a, , Number, , Round off to nearest, 10 000 and add, , Calculate actual, answer using the, method you prefer, , Example:, 29 018 + 44 587, , 30 000+ 40 000, =70 000, , 29 018, +44 587, 73 605, , 19 742 + 15 348, , GM 2022

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14, b, , 29 364 + 27 243, , c, , 16 239 + 35 627, , d, , 35 453 + 13 752, , e, , 18 235 + 17 194, , f, , 22 587 + 14 936, , 2. Word problems:, a. A car salesman has sold 2 cars today. If the first car costs R46 938 and the second, car costs R65 235, how much money has he made today?, , b. How much money is raised if Tom Newby makes R32 485 on Great Race Day and, R19 327 on Entrepreneurs Day?, , c. If Mrs. Smith works over time, she earns R3 550 more than her usual salary of, R 11380. How much did Mrs. Smith earn between New Year’s Day and 31 March?, , Activity 5: Subtraction of 5 digit numbers, There are different methods that one can use to subtract:, Method 1:, 89 735-47 618=?, , 80 000 + 9 000 + 700 + 30 + 5, - 40 000 + 7 000 + 600 + 10 + 8, , becomes, , 80 000 + 9 000 + 700 + 20 + 15, - 40 000 + 7 000 + 600 + 10 + 8, =, , 42 117, 40 000 + 2 000 +100 + 10 + 7, , GM 2022

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15, Method 2:, , -, , 1, , 8 9, , 7 2 1, , 5 2, , 1 1 6, , 3 7, , 6 0 5, , 1. Round off and subtract., , Number, , Round off to nearest, 10 000 and subtract, , Example, , 67 890 - 52 786, , a., b., c., d., e., f., , 87 256 - 34 398, 73 524 - 35 297, 26 472 - 13 561, 65 965 - 31 398, 43 560 - 4 397, 58 439 - 6 375, , Actual answer using the, method you prefer, 67 890, - 52 786, 15 104, , 70 000-50 000= 20 000, , R75 950, 2. Word problems, a., , The price of the car has been reduced by R7 890., What is the price of the car now?, , b., , A concert is attended by 63 750 people., If 29 826 people arrived by car, how many people used another form of, transport?, , c., , Shane won R90 000 in the Lotto., After spending R44 587, how much did he have left?, , Activity 6: Addition and subtraction of 5 digit numbers, 1. Copy and complete the table., , Add 7 000, a, , 20 000, , GM 2022, , Minus 4 000, , Add 50 000, , Minus 20 000

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16, 25 000, , b, , 43 500, , c, , 38 250, , d, , 28 325, , e, , 2. Rapid recall., , See how, quickly, you can, do these!, , 11 250+?=12 000, , 30 450+?=35 000, , 15 000-?=14 500, , 12 500+?=13 000, , 19 200+?=21 000, , 19 000-?=17 300, , 14 350+?=15 000, , 16 400+?=16 750, , 20 500-?=15 000, , 15 490+?=16 000, , 15 850+?=17 000, , 22 250-?=21 000, , 42 300+?=50 000, , 27 125+?=28 000, , 16 300-?=15 800, , 35 50+?=37 000, , 11 000-?=10 100, , 13 450-?=12 500, , 3. Word Problems, a. 12 396 people visited Freedom Park this year. That is 3 625 more than last year., How many people visited Freedom Park last year?, b. Three important soccer matches were played at our stadium., The first was attended by 32 520 spectators, the second by 39 355 spectators and the, third was attended by 27 498 spectators., How many people attended the matches altogether?, c. Adding 46 705 to a certain number gives you 88 808., What is the number?, , Activity 7: Using inverse operations to check answers, Remember, you can use subtraction to check, your addition calculations and you can use, addition to check your subtraction., calculations., Example:, , 81 952, -, , Check:, , 11 301, , 70 651, , + 70 651, , 11 301, , 81 952, , 1. Calculate, then check your answer by using the inverse operation., GM 2022

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17, a. 35 294+ 13 531, , b. 43 565+ 21 899, , c. 27 432+ 11 587, , d. 24 374- 18 147, , e. 41 532- 30 698, , f. 38 205- 6 956, , g. 13 054+ 11 943, , h. 24 567+ 13 418, , i. 17 643+ 13 674, , j. 52 635-34 396, , k. 42 763- 3 897, , l. 18 426- 12 757, , 2. Word problems., a. The sum of 4 numbers is 12 038., If three of the numbers are 3 192, 2 774 and 4 008, what is the fourth number?, b. The sum of four numbers is 13 520., What is the fourth number if three of them are 1 560,4 255 and 6 500?, c. If I halve a number, I get 7 432., What is the number?, d. If I double a number, I get 30 550., What number did I double?, e. If I add 5 736 to a secret number, I get 9 900., What is the secret number?, , Activity 8: Assessment of Whole Numbers, 1. Use the numbers in the shapes to write 5 numbers., , , , , Each number should have 6 digits., Your number should be between 200 000 and smaller than 700 000., You may use each digit only once., , 7, , 5, , 1, , 0, , 3, , 2. Arrange your numbers from smallest to largest., 3. Write the even numbers in green. What makes these numbers even?, 4. Write the odd numbers in blue. Why are these numbers odd?, 5. Write these numbers in words:, a. 159 487, , b. 146 793, , 6. Copy and complete the table., , GM 2022, , c. 645 013, , d. 107 209, , 9

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18, Round off to Round off to Round off to Round off to, nearest 5, nearest 10, nearest 100, nearest 1 000, a., , 156 408, , b., , 429 731, , c., , 506 992, , 7. Copy and complete the table., Equation, , 4, , a., , X6 +3, , 27, , b., , (+7) x2, , 22, , c., , X7 ÷1, , d., , (+5) x10, , 2, , 3, , 5, , 10, , 20, , 50, , 100, , 8. Say whether the following are = or ≠., a. 12+10?10+12, , b. (10÷2)x5?10÷(2x5), , c. 15x1?15÷1, , d. 3+(3x4)?(3+3)x4, , e. (6+4)+5?6+(5+4), , f. 8x(3x9)?(8x3)x9, , 9. Add and subtract., Calculation, a., , 435 254 + 54 678, , b., , 435 254 – 54 678, , Round off to nearest, 10 000. Add., , 10. Calculate and check your answer by subtracting., a. 24 567 + 13 418, , GM 2022, , b. 53 819 + 14 027, , Work out actual answer.

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19, , Mental Maths Sheet 1, Monday, , Wednesday, , Thursday, , Friday, , 4 834 - □ = 4 414, , 9 750 - 400, , 467 + 1 420, , Tuesday, Round off to, the nearest, 10, , 2 764 - □ = 2 104, , 4 500 - 1 250, , Replace * with, > or <, , 875 + 1 115, , 23156, , 3 456 - □ = 3 050, , 6 200 - 800, , 62 312 * 62 132, , 4 208 + 1 550, , 42852, , 7 827 - □ = 7 117, , 7 000 - 4 500, , 19 115 * 19 111, , 2 632 + 326, , 80193, , 5 463 - □ = 5 223, , 8 450 - 1 400, , 29 169 * 29 156, , 4 123 + 1 321, , 12559, , 3 876 - □ = 3 110, , 3 640 - 3 140, , 73 131 * 73 331, , 3 050 + 670, , 65157, , 4 631 - □ = 2 531, , 8 125 - 7 100, , 40 004 * 40 040, , 2 340 + 1 620, , 22092, , 9 215 - □ = 5 100, , 5 425 - 3 025, , 54 545 * 54 455, , 548 + 1 450, , 39989, , 4 200 - 2 200, , 23 232 * 23 223, , 826 + 7 050, , 300 + 60 000 + 4 + 10, , 1 350 - 650, , 61 234 * 61 243, , 9 000 + 3 + 5 000 + 10, , 3 040 - 540, , 84 484 * 84 848, , 2 456 + 540, , 92406, Round off to, the nearest, 100, , 6 + 30 000 + 50 + 800, , 6 400 - 4 500, , 99 909 * 99 990, , 225 + 1 800, , 514 189, , 200 + 90 + 30 000 + 4, , 3 100 - 3 000, , 908 + 2090, , 26 924, , 20 + 9 + 10 000 + 600, , 2 100 - 150, , 15̲6 987, , 2 515 + 1 085, , 391 971, , 70 000 + 100 + 9 + 40, , 3 025 - 225, , 3̲26 876, , 6 142 + 2 646, , 126 086, , 6 + 3 000 + 40 000, , 7 100 - 4 000, , 383 2̲06, , 1 735 + 4 065, , 517 852, , 4 000 + 9 + 70 + 8 000, , 2 525 - 1 520, , 712 36̲3, , 3 280 + 513, , 253 537, , 4 000 - 2 500, , 9̲91 945, , 2 187 + 1 700, , 92 461, , Write the next 3, numbers, , 3 660 - 3 060, , 52̲8 984, , 3 120 + 6 250, , 125; 135; 145, , 5 252 - 2 252, , 223 647̲, , 980; 960; 940, , 2 175 - 125, , 642 07̲1, , 200 + 400 + 600, , 28 279, Round off to, the nearest, 1000, , 36; 48; 60, , 320 + 420 + 520, , 726 159, , 11; 16; 21, , Write smallest, number using, , Round off to the, nearest 1000, , 225 + 325 + 425, , 213 774, , 1 050; 1 025; 1 000, , 2; 6; 0; 8; 3; 1, , 371 642, , 610 + 2 350, , 307 261, , 535; 565; 595, , 3; 0; 9; 6; 4; 7, , 853 112, , 5 550 + 650, , 915 528, , 6 200; 6 000; 5 800, , 5; 7; 2; 8; 1; 9, , 240 649, , 1840 + 1015, , 104 509, , 108; 96; 84, , 3; 1; 6; 4; 0; 8, , 317 005, , 3 161 + 3 300, , 713 442, , 375; 400; 425, , 7; 3; 9; 1; 4; 2, , 614 567, , 951 + 1 050, , 635 483, , 625; 750; 875, , 5; 0; 6; 1; 7; 4, , 802 559, , 404 + 4 040, , 274 726, , 999; 899; 799, , 2; 5; 3; 8; 4; 6, , 387 615, , 2 615 + 300, , 5 145 + 4 541, , 600 + 600 + 600, , GM 2022, , Write the number, , Place value

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20, , Mental Maths. Sheet 2., Monday, Tuesday, Wednesday Thursday, Friday, 4x7, 8x6, 7 x 10, 58 + 7 - 20, 7 000 + 30 + 600, 8x7, 5x4, 7 x 100, 34 + 44 - 30, 3 + 70 + 3 000, 6x7, 9x8, 7 x 1 000, 53 + 33 - 20, 600 + 4 + 5 000, 1x7, 7 x 10, 7 x 10 000, 68 + 29 - 30 8 000 + 20 + 400, 3x7, 4x8, 70 x 10, 63 + 13 - 20 70 + 9 000 + 100, 5x7, 5 x 10, 70 x 100, 79 + 90 - 30, 7 + 200 + 3 000, 0x7, 9x4, 70 x 1 000, 87 - 45 + 20, 70 + 0 + 6 000, 10 x 7, 6x9, 3 x 10, 62 - 36 + 30 2 200 + 170 + 300, 7x7, 8 x7, 3 x 100, 55 - 29 + 20 1 600 + 700 + 90, 9x7, 7x6, 3 x 1 000, 45 - 17 + 30 1 000 + 340 + 50, 2x7, 4x7, 3 x 10 000, 74 - 30 + 20 4 123 + 3 000 + 70, 63 ÷ 7, 10 x 6, 30 x 10, 32 - 16 + 30 600 + 169 + 5 000, 35 ÷ 7, 6x6, 30 x 100, 24 + 34 - 20, 8 + 3 000 + 700, 14 ÷7, 4x6, 30 x 1 000, 63 + 19 - 30 440 + 300 + 300, 42 ÷ 7, 10 x 10, 8 x 10, 62 + 26 - 20 2 400 + 160 + 20, 28 ÷ 7, 180 ÷ 10, 8 x 100, 87 + 19 - 30 120 + 5 000 + 400, 70 ÷ 7, 100 ÷ 10, 8 x 1 000, 64 + 17 - 20 350 + 350 + 4 200, 56 ÷ 7, 220 ÷ 10, 8 x 10 000, 26 + 71 - 30, 8 000 + 4 000, 49 ÷ 7, 2 200 ÷ 100, 80 x 10, 43 - 17 + 20, 8 000 - 4 000, 21 ÷ 7, 6 300 ÷ 10, 80 x 100, 59 - 37 + 30, 7 000 - 3 000, 7 + 7 + 7 + 7 + 7 6 300 ÷ 100, 80 x 1 000, 65 - 58 + 20, 7 000 + 5 000, 42 + 7, 6 000 ÷ 100, 82 x 100, 84 - 62 + 30, 3 000 + 5 000, 28 - 7, 6 000 ÷ 10, 6 x 10, 48 - 29 + 20, 8 000 - 3 000, 63 - 7, 6 000 ÷ 1 000, 6 x 100, 64 - 48 + 30, 9 000 + 2 000, 35 + 7, 780 ÷ 10, 6 x 1 000, 78 + 80 - 20, 6 000 - 3 000, 56 + 7 + 7, 7 800 ÷ 10, 6 x 10 000, 94 + 50 - 30, 7 000 + 6 000, 21 + 7+ 7, 7 800 ÷ 100, 60 x 10, 65 + 70 - 20, 5 000 - 2 000, 35 - 7, 370 ÷ 10, 60 x 100, 75 + 31 - 30, 3 000 + 5 000, 63 + 7 + 7, 3 020 ÷ 10, 60 x 20, 83 + 73 - 20, 3 000 - 1 000, 56 - 7, 4 500 ÷ 100, 60x 200, 44 + 80 - 30, 7 000 + 4 000, , GM 2022

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21, , Unit 3: Common Fractions, What are fractions?, , When we divide an object (like a cake) or a group of objects (like marbles), into equal parts, each part is a fraction of the object or group of objects., , There are 8 marbles so 1 marble is ⅛ (one eighth), , The cake is divided into 8 equal pieces so each piece is an eighth., , Activity 1: Meaning of fractions, You have learned about these fractions in grade 5., , GM 2022

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22, 1. Write the correct fraction with the correct meaning., Example, , thirds, , 3 = parts., , a. thirds, , 4 = parts, , b. eighths, , 2 = parts, , c. halves, , 5 = parts, , d. tenths, , 3 = parts, , e. quarters, , 8 = parts, , f. fifths, , 10 = parts, , g. sixths, , 12 = parts, , h. ninths, , 7 = parts, , i. twelfths, , 10 = parts, , j. sevenths, , 6 = parts, , k. elevenths, , 9 = parts, , l. tenths, , 11 = parts, , 2. Which squares have not been divided into quarters (4 = parts)?, , 3. Which shapes have not been divided into thirds (3 = parts)?, , GM 2022

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23, 4. Write the fraction shaded, the fraction unshaded and the number of equal parts for, each., , Fraction shaded Fraction unshaded No. of = parts., a., 1, 4, , 3, 4, , b., , c., , d., , e., , f., , g., , Let’s look at fractions of groups of, objects., There are 12 marbles altogether., , A quarter of the marbles are green., GM 2022, , 4

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24, 5. Write the fraction shaded, the fraction unshaded and the number of objects in each, group., No. of objects, , Objects., , Fraction shaded. Fraction unshaded., , in the group., a., , b., , c., , d., , Activity 2: Equivalent fractions, , 1. Use the fraction wall to work out an equivalent fraction., 1, , 2, , a. 2= 8, , 1, , b. 4=16, , 1, , 3, , e. 2 = 16, , f. 4= 8, , 1, , c. 8=16, , d. 2=, , g. 1 whole= 8, , h. 1 whole=16, , 2. Write a fraction for each of the letters., , 0, , a., , GM 2022, , b., , c., , 1, , 1, , 14, , d., , e., , 2

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25, , Activity 3: Equivalent fractions and simplifying fractions, , 1. Copy and complete., 1, , a. 8=16, 1, , 1, , 1, , 1, , c. 4 = 16, , b. 4= 8, 1, , d. 2=16, , 3, , 3, , e. 2= 8, , f. 2= 4, , g. 4= 8, , h. 4 = 16, , i. 1 whole= 8, , j. 1 whole= 4, , k. 1 whole=16, , l. 1 whole= 2, , 2. Write the fractions in their simplest form., Example, , 4, , =, , 8, , 2, , =, , 4, , 1, 2, , Not simplest, , Still not, , Simplest, , form., , simplest form., , form., , A fraction in simplest form means I am using the smallest, numbers I can to write the fraction., 6, , 8, , a. 8, , b. 16, , 4, , 10, , e. 8, , f. 16, , 3. Copy and complete., , GM 2022, , 4, , c. 16, 14, , g. 16, , 12, , d. 16, 2, , h. 8

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26, 1, , 1, , a. 3= 6, , 1, , b. 6=12, , 2, , c. 3=12, , 2, , d. 3= 6, , e. 3=12, , f. 1 whole=12, , g. 1 whole= 3, 4. Write the fractions in simplest form., 2, , 4, , a. 6= 3, , b. 6= 3, , 2, , 4, , e. 12= 6, , f. 12= 3, , 6, , c. 12= 2, 10, , g. 12= 6, , 8, , d. 12= 3, 6, , h. 6=, , 5. If one pizza costs R40:, 3, , a. what would 8 of a pizza cost?, 5, , b. what would 8 of a pizza cost?, Comparing and ordering fractions., , 1. Use the fraction wall and compare the following fractions. Replace * with ˂ ˃or =., 1, , a. 6, , 1, 8, , GM 2022, , 2, , b. 4, , 1, 2, , 8, , c. 8, , 1, , 1, , d. 3, , 1, 6

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27, 1, , 1, , e. 7, , 2, , 1, , 2, , i. 3, , 1, , f. 6, , 6, , 5, , j. 10, , 6, , 7, , 2, , g. 8, , 7, , 5, , h. 7, , 3, , 4, 5, , 1, 2, , 2. Write the fractions from biggest to smallest., 1, , a. 3, , 1, , 1, , 10, , 2, , 1, , d. 5, 1, , g. 6, , 1, , 1, , 3, , 10, , 1, , 1, , 3, , 4, , 1, , b. 10, 1, , e. 6, 2, , h. 6, , 2, , 1, , 3, , 5, , 2, , 1, , 4, , 3, , 2, 10, , 2, , c. 4 1, 1, , f. 2, 1, , 1, , i. 5, , 1, 6, , 2, 5, , 1, , 3, , 1, , 10, , 4, , 3. Count on and simplify the fractions where possible., a., b., c., , 1, 2, 1, 10, 7, 8, , d., , 0, , e., , 0, , 3, 4, , 6, , 1, 3, , =, 8 4, 1, 8, , 2, , 3, 10, 5, 8, , 5, 1, =, 10 2, 3, 8, , 0, 1, , 1, , 14, , 10, 12, , 1, 6, , Activity 2: Fractions of groups of objects, The fraction of a group which has been shaded can also be simplified., 9, , 3, , =, , 12 4, , Examples, , 4 2, , =, , 6 3, 1. Say what part of each drawing is shaded and then simplify the fraction., a., , b., , GM 2022, , c.

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28, 2. Copy and complete. Use the drawings to help you., 1, 4, , 1, , a. 3 of 6=, 2, , e. 3 of 6 =, , of 12 = 3, , 1, , Example, , b. 8 of 16 =, 3, , f. 8 of 16 =, , 1, , c. 3 of 12 =, 2, , g. 3 of 12 =, , 1, , d. 4 of 16 =, 5, , h. 8 of 16 =, , 3. Write what fraction of the 2D shapes are:, , a. circles?, b. squares?, c. triangles?, d. rectangles?, e. hexagons?, , Write each fraction in its simplest, form., , GM 2022

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29, 4. Copy and complete. If it helps you, use the shapes in the block above., 1, , a. 8 of 16 =, 3, , e. 4 of 16 =, , 1, , b. 16 of 16 =, 5, , f. 8 of 16 =, , 3, , c. 8 of 16 =, 7, , g. 8 of 16 =, , 1, , d. 4 of 16 =, 15, , h. 16, , 5. Copy and complete., 1, , a. 5 of R20=, 1, , e. 2 of 100 cm, , 1, , b. 4 of R100=, 2, , f. 3 of 90 cm=, 1, , 1, , c. 3 of R60=, 3, , g. 4 of 90 cm=, , 6. I walk 3 km to school. I walk of the way with a friend., 3, , How many km do I walk alone?, 3, , 7. I get R40 a month. I save 8 of my money., How much money did I save?, , GM 2022, , 1, , d. 16 of R32=, 7, , h. 10 of 200 cm=

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30, , Activity 3: Tenths and hundredths, , I divide a strip into 10 equal squares., , I colour 3 of the 10 squares., , 3, 10, , 1. Write a fraction for each of the following. Simplify where you can., a., , b., c., d., e., f., , 2. Count on and simplify where you can., , 0, , 1, 10, , GM 2022, , a, , b, , c, , d, , e, , f, , g, , 9, 10, , 1

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31, Hundredths., , Divide a block into 100 squares and shade 28 blocks in., , 28, 100, , 3. Write fractions for each of the following. Simplify where you can., a., , b., , c., , GM 2022

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32, 4. Copy and complete. Write all your answers in metres., 1, , Example, , 1, , km = 2 of 1 000 m = 500m, 2, , 1, , 3, , a. 4 km = ----m, , 1, , b. 4 km = ----m, , 2, , c. 5 km = ----m, , 3, , d. 5 km = ----m, , 4, , e. 5 km = ----m, , 1, , f. 5 km = ----m, , 3, , g. 10 km = ----m, , 7, , h. 10 km = ----m, , i. 10 km = ----m, , 5. Write all of these answers in cents, 1, , 1, , a. 4 of R1= ----c, , 1, , b. 5 of R1= ----c, , 3, , c. 10 of R1= ----c, , 3, , d. 10 of R1= ----c, , 2, , e. 4 of R1= ----c, , 3, , f. 5 of R1= ----c, , 4, , g. 5 of R1= ----c, , 9, , h.5 of R1= ----c, , i. 10 of R1= ----c, , Activity 4: Addition and subtraction of fractions with like, denominators, 3, , 2, , 5, , Use a number line: 8 + 8 = 8, , 0, , 1, , 3, , 5, , 7, , 8, , 8, , 8, , 8, , 5, , 3, , 2, , 6, , 6, , 6, , Or, use a diagram: - =, , 1, , (= ), 3, , Remember to simplify wherever you can., GM 2022

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33, 1. Copy and calculate. Show your working out., 1, , 4, , 7, , a. 6 + 6 =, 5, , 2, , 4, , d. 8 - 8 =, 7, , 4, , 3, , -5=, , 5, , 3, , 5, , 7, , 3, , 3, , 1, , 2, , 2, , f. 4 + 4 =, , h. 9 + 9 =, , j. 7 - 7 =, , 3, , c. 5 + 5 =, 3, , e. 5, , g. 12 - 12 =, 6, , 3, , b. 10 - 10 =, , i. 3 + 3 =, 7, , l. 12 +, , k. 11 - 11 =, , 5, 12, , =, , Addition and subtraction of mixed numbers, , 7, , 112, , 11, , +, , 112, , 18, , =212, 12, , =2 + 12 +, , 6, 12, , 6, , =312, 1, , =32, , 3, , 18, , -, , 7, , 8, , 3, , 7, , =(8 + 8) - 8, , 8, , 11, , 7, , =8 - 8, 4, , =8, 1, , =2, 2. Copy and complete. Show your working out and ALWAYS simplify where possible., 1, , 3, , 2, , a. 15 + 15, 3, , 2, , b. 23 + 13, 3, , e. 24 + 14, GM 2022, , 1, , 2, , f. 13 + 13, , 5, , 1, , c. 26 - 16, 5, , 3, , g. 17 - 7, , 5, , 1, , 3, , 5, , d. 212 - 12, , h. 28 - 18

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34, , 7, , 9, , 1, , i. 110 + 110, , 3, , j. 25 + 15, , 5, , 1, , k. 46 - 16, , 4, , 5, , l. 29 - 9, , Unit 5: Time, Time through the ages…, , Sundials, , use shadows to tell the time., , Hour glass, , uses the flow of sand to tell the time., , Candle clocks, , measure the hours as the candle burns..., , Today, we use digital and analogue clocks to tell the time and stopwatches to measure, seconds accurately., , Activity 1: Reading, writing and telling the time, , GM 2022

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35, 1. Copy and complete., 1, , a. 22 min = ------sec, , b. 5h = ------min, , c. 2 y = ------mo, , d. 3 d = ------h, , e. 200 s = ------min ------s, , f. 1 leap year = ------d, , g. 11 wk = ------d, , h. 100 a = ------decades, , 3, , i. 44 h = ------min, , j. 20 a = ------mo, , k. 3 a = ------d, , l. 20 decades = ------a, , 12 hour time:, 12 hour time uses a.m. and p.m., a.m. means ante meridian (before noon) and is any time from midnight to midday/noon., p.m. means post meridian (after noon) and is any time from noon to midnight., , 2. Write these times as 12 hour times., a. 15:45, , b. 20:38, , c. 12:01, , d. 07:12, , e. 11:04, , f. 18:50, , 3. Write these times as 24 hour times., a. 1:00 p.m., , b. 8:10 a.m., , c. 4:42 p.m., , d. 10:12 p.m., , e. 6:16 a.m., , f. midnight, , 4. Calculate the length of time for each activity., , a., , b., , Thabo got on, , Thabo got off, , the bus., , the bus., , How long was the bus trip?, GM 2022, , Jo left for, , Jo arrived, , soccer., , home., , How long was practice?

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36, d., , c., , Peter starts washing, , Peter finishes washing, , the car., , the car, , ., , Thandi starts, , Thandi stops, , watching TV., , watching TV., , For how long did Thandi watch TV?, , How long did it take to wash the car?, , Activity 2: Centuries, , The word century comes from, the Latin word centum meaning, 100., , 1. Convert the centuries into years., 1, , a. 1 century = -----years., , b. 22 centuries = -----years., , 1, , 1, , c. 64 centuries = -----years., , d. 85 centuries = -----years., , Activity 3: Time conversions, , a., b., , Convert, min to s, , Convert h, to min, , Convert d, to h, , 55 min, 1, 32 min, , 3h, 1, 104 h, , 3d, 1, 42 d, , 84 min, , 202 h, , 10 d, , 1, , c., , GM 2022, , 1, , Convert a, to mo, 1, 32 a, , Convert, decades to, a, 1, 72decades, , Convert, centuries to, a, , 124 a, , 5 centuries, 1, 104decades 32centuries, , 74 a, , 25decades, , 3, , 1, , 1, , 1, , 1, , 2 4 centuries

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37, A stopwatch is used for timing sporting events accurately., , 2 : 12 : 16, 16, , minutes, , seconds, , 100, , of a second, , These are the time trials of the cross country race:, , 2. a. Write the times from the fastest time to the slowest time., b. What is the difference between Sam and Chumani’s times?, c. What is the difference between the fastest and the slowest times?, , Unit 6 and 7: Properties of 2D shapes, Activity 1, Closed shapes with straight sides (polygons)., , Let’s revise the 2D shapes you learnt about in, Grade 5…, , GM 2022

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38, Closed shapes with straight sides, triangle, , 3 straight sides, , quadrilateral, , 4 straight sides, , pentagon, , 5 straight sides, , hexagon, , 6 straight sides, , heptagon / septagon, , 7 straight sides, , Count the number of sides in each 2D shape in the block below. Then copy and complete, the table., , Number of the, shape., 1, , GM 2022, , Number of sides., 6, , Name of 2D shape., hexagon, , Total number of, each 2D shape.

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39, , Activity 2: Closed shapes with curved and straight sides, 1. Copy and complete the table. Write the letter of each shape in the correct column., Letter of the shape., , Total number of shapes., , straight sides only, curved and straight sides, curved sides only, , Activity 3: Quadrilaterals, , Remember, a quadrilateral is a closed shape with 4 straight, sides., , GM 2022

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40, 1. Draw as many different quadrilaterals as you can think of in your book., 2. Copy and complete the sentences., a. A -------- has 5 straight sides., Draw 3 of these shapes in your book., b. A -------- has 6 straight sides., A new 2D shape:, , Draw 3 of these shapes in your book., , the octagon, , c. A -------- has 7 straight sides., Draw 3 of these shapes in your book., , An octagon has 8 straight sides., , The length of the sides is…, , Activity 4: Matching 2D shapes and their descriptions, a., , b., , d., , c., , f., , e., , g., , GM 2022, , h.

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41, 1. Draw each shape and match it to the correct description., , It has 5 straight = sides., It has 5 = angles., , It has 6 straight = sides., , It has 2 long = sides and 2 short, , It has 6 = angles., , = sides., It has 4 right angles., , It has 7 straight = sides., It has 7 = angles., , It has 3 straight (=) sides., It may have 1 right angle., , It has 8 straight = sides., , It has 2 long = sides and 2 short, , It has 8 = angles., , = sides., , It has 4 straight = angles., It has 4 = angles., , It has no right angles., , Activity 5: Angles, Remember:, , , , , , , An angle is formed when 2 straight lines meet each other., The lines are called the arms of the angle., An angle is the amount of turning that the arms do., The symbol for angle is ‫ﮮ‬., You can make your own right angle measure., , Types of angles:, Acute angle:, Acute angles are smaller than right angles., , Right angle:, , Right angles are 90°., , GM 2022

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42, Obtuse angles:, Obtuse angles are bigger than a right angle., , Straight angles:, Straight angles are 2 right angles., , Reflex angles:, , Reflex angles are bigger than a straight angle., , Revolution:, A revolution is a complete circle., , 1. Write the letter and the name of each angle., a., b., , c., d., , e., , Activity 6, Remember us?, I have 4 sides of = length. I have, 4 right angles., , I have 2 long sides of = length and 2 short, sides of = length., GM 2022, , I have 4 right angles.

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43, 1. Draw the above two shapes in your book using the correct Mathematical symbols to, show the above information., 2. What does parallel mean?, , Parallel lines are an equal distant apart and will NEVER touch., 3. Can you think of examples of parallel lines in real life, like the sides of a ladder?, Write your objects in your work book., Another new 2D shape:, the parallelogram ., , Parallelograms have:, , , , , opposite sides that are equal in length., opposite sides that are parallel., no right angles., , 4. Draw a parallelogram in your work book, filling in all the correct Mathematical symbols., 5. Draw a rectangle and a parallelogram in your book and, underneath them, the headings, Similarities:, , Differences:, , List as many of each as you can think of., 6. Copy and complete the table.  the correct column., Rectangles, a., , Opposite sides are =, , b., , Opposite sides are, parallel, , c., , All angles are right, angles., , d., , There are no right, angles., , e., , The 2D shape is a, quadrilateral., , f., , Opposite angles are, =, , GM 2022, , Parallelograms.

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44, , Activity 7: Triangles, There are 4 different kinds of triangles., , Scalene, Isosceles, , Equilateral, , Right angled, , 1. Copy and complete the table.  the correct columns and say how many of that kind of, angle is in the shape., Triangle, Isosceles, Equilateral, Right angled, Scalene, , Acute ‫ﮮ‬, , , 2. Count how many triangles are in this figure., , GM 2022, , Right ‫ﮮ‬, , Obtuse ‫ﮮ‬

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45, , Unit 8: Data Handling, Do you remember tally marks and the, different types of graphs we learnt about, in Grade 5?, , Pictographs., , Tally marks., , A method of grouping numbers in 5., , Data represented in picture form., ., , ., , A graph that uses bars to present, , A graph that represents data in a, , data., , circle form., , GM 2022

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46, , Activity 1: Tally, Pictograms and Graphs, , Tally marks are a quick way of keeping, track of numbers in groups of 5., , 1. Copy and complete the tally chart to show how many of each type of litter was picked, up during a Tom Newby clean-up day., , Use a tally table like this:, , Remember the mode is the, type of litter that occurs the, most often., , a. Which type of litter occurs the most?, b. Which type of litter occurs the least?, c. How many pieces of litter are there, altogether?, d. Which types of litter were the mode?, , GM 2022

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47, , Pictographs show data in picture form., Use the tally marks from question 1 to draw a pictograph of the number of each type of, litter collected., , Bar Graphs, Use your data to draw a bar graph of the number of each type of litter collected., , Remember to give your graph a heading and label the axes., , Heading., ---------------------------------------------------44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 0, cans, , GM 2022, , bottles, , packets, , wrappers, , cores

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48, , Activity 2: Finding the mode and median, , Example, Firstly, your data needs to be put in order, so, 27, , 63, , 32, , 58, , 86, , 63, , 19, , 63, , 71, , 32, , 44, , 32, , 63, , 32, , 32, , 32, , 44, , 58, , 63, , 63, , 63, , 63, , 71, , 86, , becomes:, 19, , 27, , Mode: the number that appears the most: 63, Median: the number in the middle of the list: 58, , Remember, to write, the numbers, in order, Remember, to write, the numbers, in first., , 1. Find the mode and the median of these numbers., a., , 26, , 37, , 92, , 81, , 37, , 70, , 59, , 37, , -----, , -----, , -----, , -----, , 314, , 282, , 70, , 22, , 60, , -----, , -----, , Order your numbers:, -----, , -----, , -----, , Mode: ---------, , b. 762, , 157, , -----, , Median: ---------, , 646, , 157, , 485, , 157, , 646, , 263, , 324, , Order your numbers:, -----, , -----, , -----, , Mode: --------, , -----, , -----, , -----, , ------, , -----, , -----, , -----, , Median: ---------, , 2. This data is the height of 15 children in centimetres., Find the mode and the median., 133, , 139, , 131, , 133, , 134, , 131, , 132, , 136, , 131, , 136, , 131, , 136, , 138, , Order your numbers and then find the mode and median., , GM 2022, , 129, , 137, , 128

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49, 3. Below, are the masses of 24 children in kilograms. Find the mode and median., , 47 50 44 47 51 47, 46 50 43, , 45 49 47, , 39 47 43 47 53 45, 44 41 52 46 51, , 4. Work with a partner., Let your partner choose 15 numbers at random between 1 and 20., Write them down in your book., , 1 Order your numbers…, 2 Find the mode…, 3 Find the median…, Unit 9: The Data Cycle, Remember the data cycle steps you learnt, in Grade 5?, The data cycle steps:, 1. Ask a question., , 2. Collect and organise the data., 3. Represent data., 4. Analyse and interpret data., , 5. Report on data., GM 2022

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50, , 1. Ask a question., , How much water does my family and 3 other, families use in 2 months?, , 2. Collect and organise data., We are going to use the following tally chart of data., , Water used over 2 months., Family, Family 1, , Month 1, 7 500 l, , Month 2, 7 250 l, , Family 2, , 7 250 l, , 6 750 l, , Family 3, , 7 750 l, , 7 250 l, , Family 4, , 8 000 l, , 7 750 l, , 3. Represent your data., Use your data to draw a double bar graph., Remember to fill in all the labels associated with a graph., , GM 2022

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51, , Look carefully at the intervals. (What are intervals?), Your data may fall between 2 lines so colour carefully., , 4. Analyse and interpret data., Look at your double bar graph and answer the following questions:, a. Which family used the most water in month 1?, b. Which family used the least water in month 2?, c. How much water did the 4 families use altogether in month 1?, d. How much water did the 4 families use altogether in month 2?, e. How much less water was used in month 2?, f. How many litres of water was the mode over the 2 months?, g. Predict which family you think would use the most water in the coming months., Give a reason for your answer., h. Why do you think some families use more water than other families do?, Give 2 reasons., , 5. Report on your data., Write a paragraph on your data using the answers to the questions above., Write your report like this:, Family ------- used the most water and family -------used the least water over a 2 month, period., The 4 families used ------- of water in the first month and ------- litres of water in the, second month. Over the 2 months, ------- litres of water were used. The mode amount, over the 2 months was ------- litres. Family ------- used the most water because ------and I think that family ------- will use the most water in month 3 because -----------------------------------------------------------------------------------------------------------------------------------., , Activity 2: Analysing Data, 1. Pictographs., The Grade 6 Group at Palesa’s school took part in a nature reserve clean-up week., Study the pictograph below and answer the questions., , GM 2022

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52, , Monday, , Tuesday, , = 8 learners, , Wednesday, , Thursday, , Friday, , a. How many learners helped to clean up each day?, b. If only half of the grade 6 learners could help clean up on Monday, how many, grade 6 learners are there at Palesa’s school?, c. How many more learners helped to clean up on Thursday than on Wednesday?, d. Why do you think so few learners helped on Wednesday?, , 2. Tables, Study the telephone account below and answer the questions., , Months, Calling units, Account (R), , Jan, 212, R159, , Feb, 179, R134,25, , Mar, 208, R156, , Apr, 183, R137,25, , a. During which month was the account the highest?, b. What is the difference in accounts of February and May?, c. What is the price of 1 calling unit?, d. What was the total amount paid over the 5 months?, , GM 2022, , May, 196, R147

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53, 3. Pie charts, 3.1 This pie chart shows the amount of materials recycled during a term at Tom, Newby. In total, 8 000 kg were recycled., , a. Calculate how many kilograms of each material were recycled:, , , , , , paper, plastic, glass, cans, , b. How much more paper than plastic was recycled?, c. How much more glass than cans was recycled?, , GM 2022

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54, 3.2 This pie chart shows chocolates sold at the tuck shop over a week. 64 chocolates, were sold., , a. Calculate how many of each chocolate was sold:,  Milky,  Nutty,  Toffee,  Marshmallow, b. How many more Toffee chocolates than Marshmallow chocolates were sold?, c. Which 2 chocolates were equally popular?, , Unit 10: Numeric Patterns, Activity 1, Copy and complete my number pattern and, write the rule: 125; 250; 375;-----; -----; -----; -----;, , 125; 250; 375; 500; 625; 750; 875; 1 000., The rule is: + 125, , Copy and complete the number pattern. Write the rule underneath., GM 2022

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55, a. 131; 120; 109; -----; -----; -----; -----; -----; -----; ----The rule:, b. 5; 10; 20; -----; -----; -----; -----; -----; -----; ----The rule:, c. 1; 6; 3; 8; 5; 10; 7; -----; -----; -----; -----; -----; -----; ----The rule:, d. 12; 24; 36; -----; -----; -----; -----; -----; -----; ----The rule:, e. 16 384; 8 192; 4 096; -----; -----; -----; -----; -----; -----; ----The rule:, f. Create a number pattern or two for your friend to complete and write the rule(s)., , Activity 2: Revision of multiples from 1 to 10, , Let’s revise our tables up to 12 X, LL, 12…, 1. Copy and complete the multiplication table. Do 1 row at a time., X, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, , 1, , 2, , 3, , 4, , 5, , 6, , 7, , 10, , 11, , 5x100=500, , 2. Copy and complete., b. 6x10=, , c. 9x10=, , 4x100, , 6x100=, , 9x100=, , 4x1 000=, , 6x1 000=, , 9x1 000=, , GM 2022, , 9, , 5x10=50, , Multiplying by 10, 100 and 1 000, , a. 4x10=, , 8, , 5x1 000= 5 000, , 12

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56, d. 30x10=, , e. 70x10=, , f. 200x 10=, , g. 8 000x10=, , 30x100=, , 70x100=, , 200x100=, , 8 000x100=, , 30x1 000=, , 70x1 000, , 200x1 000=, , 8 000x1 000=, , 3. Copy and complete the multiples., 15; 30; 45; -----; -----; -----; -----; ----25; 50; 75; -----; -----; -----; -----; ----1 250; 2 500; 3 750; -----; -----; -----; -----; -----, , Activity 3: Flow Diagrams, , Rule, , input, numbers, , 18, , 6, , 30, , 10, , 45, 72, , ÷3, , 4, 8, , -2, , 15, , second output, numbers, , 13, , 24, , 22, , first output, numbers, , 1. Copy and complete., , a., , b., , 5, , 36, , 6, , 9, , 43, , 9, , 7, , X8, , 3, , 10, , 4, , 8, , 8, , 6, , 10, , GM 2022, , X6, , +7

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57, c., , d. 4, , 400, 48, , 9, , 120, 840, , e., , 7, ÷4, , 10, , 240, , 8, , 480, , 5, , 2, , 1, , X7, , ÷7, , 10, , 2, 5, , Can we multiply, X5, , X2, , numbers in any, , 7, , order?, , 9, 11, , f., , 5, , 1, , 10, , 2, 5, , X5, , X2, , 7, 9, 11, , How do you calculate input numbers, when they have been left out?, , Work backwards and use the opposite, operation., , GM 2022

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58, Try these mentally:, , ÷5, , 7, , 40, , 6, , 36, X4, , 8, , 24, 16, , 5, , 2. Copy and complete., a., , b., 81, , 80, , 27, , 100, , 45, , 50, , 90, , ÷ 10, , ÷9, , 200, , 18, , 7, , 36, , 20, , c., , d., 14, 26, X 100, , ÷4, , X4, , + 10, , 30, 42, 50, 90, , These flow diagrams have a 2 stage rule., One of the rules has been left out., , GM 2022

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59, Try to work this one out mentally., 6, , 62, , 4, , 48, X7, , 8, , 76, 55, , 5, , 3. Copy and complete., a., , b., 10, , 5 000, , 130, , 21, , 20, , 10 000, , 150, , 25, , 15 000, , 200, , 30, 40, , X1000, , 35, , ÷5, , 20 000, , 400, , 50, , 25 000, , 500, , 95, , 60, , 30 000, , 1 000, , 195, , 75, , 4. Copy and complete., a., , b., 1, , 1, , 3, , 3, , 5, , 5, , 7, , X 10, , 7, , X5, , 9, , 9, , 11, , 11, , X 50, , 5. Copy and complete., a., , b., 1, , 1, , 2, , 2, , 3, , 3, , 4, , X 100, , ÷4, , 4, , 5, , 5, , 6, , 6, , GM 2022, , X 25

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60, , Mental Maths with Vocabulary, 1a. Write in words: 605 071., b. How many seconds in 5 minutes?, c. Round off 419 458 to the nearest 1 000., d. How many fours in 400?, e. Half of 8 642 is ------f. Multiply 60 by 200., g. How many twelfths in two thirds?, h. An angle of 180 degrees is called a -------, , 2a. Find the cost of 30 sweets at 50c each., b. Seven thousand less than twenty five thousand., c. Write the biggest number using 7 9 3 4 6., d. Add 1 600 and 700., e. One eighth of thirty two rand is ------f. Round off 725 154 to the nearest 100., g. How many years in ten decades?, h. There are ------- sixteenths in three quarters., , 3a. Is one sixth bigger or smaller than one fifth?, b. How many eights in 56?, c. Divide 6 300 by 10., d. Write the smallest number using 9 8 2 6 4., e. Three eighths of sixteen is ------f. What is the product of 365 and 0?, g. A closed 2-D shape with 7 sides., 4, , 3, , h. Find the sum of 5 and 5., 3, , 4a. 4 of 100 cm., b. A closed 2-D shape with 8 sides., c. Write in words: 365 008., d. An angle less than 90 degrees., e. Share R60 among 5 children., GM 2022

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61, f. Write midnight in 24 hour time., g. How many hours in 4 days?, h. One tenth of a kilometre., , 5a. Write the next 3 numbers: 2 095; 2 145; 2 195., b. Write the number: three hundred and five thousand two hundred and ten., c. Write the difference between 8 760 and 50., d. 7 050 plus ------- equals ten thousand., 1, , 1, , 3, , e. Write the next three numbers: 14; 12; 14, f. Write the place value of the 7 and the 3 in 74 350., 1, , 1 1, , 1, , g. Order the fractions from smallest to biggest: 10; 5; 3; 12., h. If a number is multiplied by fifty, the product is 200. What is the number?, i. Write the next three numbers: 132 900; 132 910; 132 920., , GM 2022