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 23⁄5 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 4x3 − 2x2 +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 × 52 ÷ 5-6 + (22 × 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 mp3 − np2 + 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) l3 − 4l2 + 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 (32a3 − 76a2 + 72a − 18) is divided equally among (8a − 3) persons. Find the amount received by each person.
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Half Yearly Examination − 2Download the pdf
Half Yearly Examination AnswerDownload the pdf
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