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GUJRANWALA GURU NANAK PUBLIC SCHOOL
Math Assignment
Class VIII
1.Find the value of:- (i) 1
(ii) 3−2
2−3
2. Find the value of: - (i) (6−1 + 8−1 + 12−1)0 (ii) (−3)5 ÷ (−3)7
3. Find m so that (−5)3m – 1 × 25 = (−5) −8
4. Simplify: - 32 × t−5
(t ǂ 0) (ii)
(4−1× 3−1) ÷ 12−1
−4
-3
2 ×6×t
5. Express the following numbers in standard form:(i) 0.0000000000132
(ii) 300970000
6. Express the following numbers in usual form:(i) 0.34581× 10−3 (ii) 6913 .115 ×105
7. Fill in the blanks:(i) a−m is the ___________ inverse of am.
(ii) The value of am is ______ for any non- zero integer a an
(iii) If the decimal is shifted to the right in a number, then the
number is
multiplied by ________ power of 10.
8. Express 52 ×53 in negative exponent.
9. An army unit consisting of 15650 soldiers is to be arranged in as many rows as the
number of soldiers in each row. In doing so, 25 soldiers are left out. Find the number
of soldiers in each row.
10. Aman walks 3 km towards east and then 4 km towards north. Find the distance
between the start point and the stop point.
11. Find the least possible number by which 54428 should be divided to make it a perfect
square. Hence find the square root of the resulting number.
12. 3249 persons are sitting in a cinema hall in such a manner that there are as many
persons in a row as there are rows in the hall. Find the number of rows in the hall.
13. Find the cube root of the perfect cube 175616.
14. Three numbers are in ratio 1:2:3.The sum of there cubes is 62208. Find the numbers.
15. What is the smallest number with which 8192 must be multiplied so that product is
perfect cube? Also find the cube root of the product.
16. Find ten rational numbers between 1 and 2
5
3
17. Write the additive and multiplicative inverse of -9
4
18. Simplify:
-2 x 3 + 5 - 3 x 1
3
5
2
5
6
19. Write any five rational numbers, each less than two.
20. For x = - 3 Verify that – (-x) = x
17