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TECHNO INDIA GROUP PUBLIC SCHOOL, POST MID TERM EXAMINATION (2021-22), CLASS–VIII::SUBJECT–MATHEMATICS:: D.O.E–20.12.2021, TIME-1 hr 30 mins, 1. Fill up the gaps:-, , F.M: 40, [ 1× 6 = 6 ], , i) A triangular Prism has __________ vertices and ____________edges., ii) The diagonal of a cube measures 4√ cm then its edge is _____________., iii) If the 4-digit number x27y is exactly divisible by 9, then the least value of, x+y is ______________., iv) 3 5 A, C B 8 Here the values of A ,B and C are _______, ______,_______, 1 83, respectively., v) _____________ × (, )=(, ), vi) The value of, 2. Do as directed:-, , is _______________________., [ 1× 10 =10 ], , i) Divide :- 12x4 + 8x3 – 6x2 by 2x3, ii) Find all possible values of y for which the number 53y1 is divisible by 3., iii) Using the formula for squaring a binomial, Evaluate (999)2 ., iv) The base of a triangle is 14 cm and its height is 8cm. Find the area of the, triangle., v) Verify Euler’s relation for a tetrahedron., vi) Find the length of the longest pole that can be put in a room of dimension, 10m by 10m by 5m., vii) The volume of a cube is 729 cm3. Find its surface area., viii) If each side of a cube is doubled, how many times does its volume, become?, ix) Find the area of a trapezium whose parallel sides are 38.7cm and 22.3cm, and the distance between them is 16cm., x) The values of A, B and C., AB, ×BA, ( B+1) C B

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3. Case Study:-, , [ 1× 4 = 4 ], , A mango juice is available in two packs. One is a tin can with a rectangular, base of length 5cm and width 4cm, having a height of 15cm and another one is, a plastic cylinder with circular base of diameter 7cm and height 10cm. Then, answer the following questions, i) Capacity of a tin can is, a) 300 cm3, b) 200 cm3, , c) 250cm2, , d) none., , ii) Capacity of a plastic cylinder can is, a) 375 cm3, b) 385 cm3, , c) 395cm3, , d) none., , iii) Which container has greater capacity?, a) Tin can, b) Plastic cylinder can, iv) Difference of their capacity is, a) 85cm3, b) 75cm3, , c) Both are same, c) 65cm3, , d) none., , 4. Answer the following questions :i), , If (, , ), , 5, find the values of a) (, , d) none., , [ 2× 3 = 6 ], , ), , b) (, , ), , ii) Subtract 4p2q – 3pq + 5pq2 – 8p+7q – 10 from 18 3p – 11q + 5pq –, 2pq2+5p2q ., iii) The ratio of the radii of two cylinders is 2:3 and the ratio of their heights, is 5:3. Find the ratio of their volumes., 5. Answer the following questions :i), , [ 3× 3 = 9 ], , The parallel sides of a trapezium are 20cm and 10cm. Its nonparallel, sides are both equal, each being 13cm. Find the area of the trapezium., , ii) A well of inner diameter 14m is dug to a depth of 12m. Earth taken out, of it has been evenly spread all around it to a width of 7m to form an, embankment. Find the height of the embankment so formed.

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iii) Find the area of pentagon ABCDE in which BL AC, DM AC and, EN AC such that AC =18cm , AM = 14cm, AN = 6cm , BL= 4cm , DM, =12cm and EN = 9cm., D, E, , A, , L, N, , C, , M, , B, 6. Answer the following questions:-, , [ 2+3 = 5 ], , i) The sum of the digits of two digit number is 15. The number obtained by, interchanging its digits exceeds the given number by 9. Find original, number., ii) Fill in the numbers from 1 to 9 without repetition, so that each side of the, triangle adds up to 17.