# 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: r^{2} + 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 63a^{2}bc^{2} 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: 5^{2n−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 + 6m^{2} − 15 by 2m − 3.

If you want to download the above Sample question, please click below link.

**Half Yearly Examination - 1**Download the pdf

**Half Yearly Examination Answer**Download the pdf

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