Page 303 - ICSE Math 8

8. Find the sum of the cubes of first 8 natural numbers using the patterns of cubes.

9. Solve: X Y
+ 5 7
6 X

10. Is 9,65,876 divisible by 11?
11. Is f a subset of {p, q, r}?
12. If P = {factors of 12} and Q = {factors of 18}, then what is P ∩ Q?
13. What is the percentage change from 50 to 65?

14. Prateek is 20% younger to Arpan. By what per cent is Arpan elder than Prateek?
15. Find the value of x if 15 : 6 : : x : 18.
16. Find the mean proportional between 8 and 32.
17. If 15 boxes weigh 450 kg, what is the weight of 4 boxes?
18. If Nida knits 45 scarves in 27 days, how many days will she take to knit 50 such scarves?

19. The marked price of a pair of jeans is ` 900. A customer pays ` 40 as tax for it. Find the rate of tax.
20. What is value of 4% tax on ` 1,560?
21. What does a negative rate of appreciation means?
22. Calculate the amount on ` 1,500 for 2 years at the rate of 5% per annum.

4 27
23. Multiply by .
42
23
9a b 50a b
4
5
24. Find the degree of the polynomial y – 5y + y .
4
x + 1 x + 1
25. If = 2, find the value of .
x x 4
2
2
26. If a + b = 4 and ab = 4, find the value of a + b .
27. Write all the possible factors of 7pq.
2
28. Factoize: 6x + 18
3 2
29. Find the value of x in − = 12 .
4x 3x
30. The sum of three consecutive odd natural numbers is 69. Find the numbers.
31. Find ∠C if AB || DC.
D C

120°
A B
32. The three angles of a triangle are in the ratio 1 : 2 : 3. Find the angles.
33. Can you construct a square if the measure of only one of its side is given? Why?

34. Name the two properties, other than the five building blocks, that a quadrilateral
must satisfy.

35. Name the solid shapes that have been combined to form the following nested
solid.

291