# Class 8 - Half Yearly Examination - 2

**Section - A, Attempt all the questions from this section**

1. **Answer the following.** **[2 × 5]**

a) Divide the sum of ^{-15}⁄_{7} and 2^{3}⁄_{5} by their difference.

b) Find the sum without adding. 1 + 3 + 7 + 9 + 11 + 19 + 21 + 23 + 29.

c) Evaluate ∛ 8 + ∛ 0.027 + ∛ 0.064 .

d) Find out the value of 4x^{3} − 2x^{2} +5x − 4, when x = 3.

e) Evaluate {(^{-1}⁄_{4})^{3}}^{-2}.

2. **[3 + 3 + 3 + 1]**

a) Simplify and write in exponential form of 5^{-5} × 5^{2} ÷ 5^{-6} + (2^{2} × 5)^{2} + (^{2}⁄_{5})^{-1} + 2^{-1} + (^{1}⁄_{7})^{-1}.

b) Given that √ 1,444 = 38, then find the value of √ 0.1444 + √ 14.44 .

c) Divide the number 4374 by smallest number so that the quotient is a perfect cube and also find the cube root of quotient.

d) Factorise mp^{3} − np^{2} + qp.

**Section - B, Attempt all the questions from this section**

3. **[3 + 3 + 4]**

a) Write a Pythagorean triplets whose one number is 20.

b) Divide the sum of ^{11}⁄_{5} and ^{19}⁄_{7} by the product of ^{-3}⁄_{5} and ^{1}⁄_{2}.

c) A boy walks 15m south from his house and turns east to walk 36 m to reach his friend's house. Then he returns diagonally from his friend's house to reach back to his house.so find out the distance did he walk while returning.

4. **[3 + 3 + 4]**

a) simplify:

b) l^{3} − 4l^{2} + 2l − 8 − lm + 4m

c) The highest score in a cricket test match in an innings was ^{3}⁄_{13} of the total and the next highest sore was ^{2}⁄_{5} of remaining. If the difference between two scores was 48 runs, then find the total score.

5. **[3 + 3 + 4]**

a) Difference of two perfect cube is 602. If the cube root of the greater of two numbers is 11, find the cube root of the smaller number.

b) If 2 women or 3 girls take 30 hrs to do a certain piece of work, how long will 4 women and 9 girls working together take to complete the work?

c) If a sum of rupees (32a^{3} − 76a^{2} + 72a − 18) is divided equally among (8a − 3) persons. Find the amount received by each person.

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

**Half Yearly Examination − 2**Download the pdf

**Half Yearly Examination Answer**Download the pdf

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