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 1⁄5 and 2⁄4.
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 4-3×6-2×46⁄36×32×6-5.
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 1⁄15 of the whole strength of a class was absent and 1⁄4 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 = 1⁄125n-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 1⁄12 kg. The weight of the bag should not exceed 3⁄6 kg. Find the maximum number of oranges that can be put inside the bag.
b) Simplify: -7 + 9⁄10 + 3⁄7 + (-5) + 5⁄11 + (-6⁄5) by necessary arrangement.
c) Divide m + 6m2 − 15 by 2m − 3.
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Half Yearly Examination - 1Download the pdf
Half Yearly Examination AnswerDownload the pdf
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