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# Class 8 - Half Yearly Examination - 1

Section - A, Attempt all the questions from this section

1. Answer the following.              [2 × 5]

a) Find the square root of 729 by division method.

b) Simplify:  0.064  +  0.216 .

c) Find the product of (x − 3) (x − 6).

d) Insert two rational numbers between 15 and 24.

e) If 26 workers can paint a building in 10 days, how many days will it take for 13 workers to paint same building?

2.                     [3 + 3 + 3 + 1]

a) Find the value of 4-3×6-2×4636×32×6-5.

b) Factorise: r2 + ap − ar − rp

c) Three numbers are in the ratio 1 : 3 : 4. The sum of their cubes is 11,500. Find the numbers.

d) Divide 63a2bc2 by (−9abc).

Section - B, Attempt any three questions from this section

3.                     [3 + 3 + 4]

a) Find the greatest 4-digit number which is a perfect square.

b) Factorise: x − 1 − (x − 1) 2 + bx − b

c) One day 115 of the whole strength of a class was absent and 14 of those present brought math books. How many students did not bring the math book, the total strength of the class being 180?

4.                     [3 + 3 + 4]

a) Solve for n: 52n−1 = 1125n-3

b) Find the smallest number by which 576 should be multiplied to make it a perfect cube.

c) A and B can do a piece of work in 12days; B and C in 15 days; C and A in 10 days. In how many days will they finish it working together?

5.                     [3 + 3 + 4]

a) A bag is filled with oranges, each weighing 112 kg. The weight of the bag should not exceed 36 kg. Find the maximum number of oranges that can be put inside the bag.

b) Simplify: -7 + 910 + 37 + (-5) + 511 + (-65) by necessary arrangement.

c) Divide m + 6m2 − 15 by 2m − 3.

Half Yearly Examination - 1

Half Yearly Examination - 2