Page 364 - Start Up Mathematics_8 (Non CCE)

9. 5 kg of apples cost ` 80. 7 kg of apples will cost:
(A) ` 112 (B) ` 115 (C) ` 120 (D) ` 122

10. The fraction equivalent to 120% is:
6 4 7 1
(A) (B) (C) (D) 2
5 5 5 5

Section B

Question number 11 to 17 carry 2 marks each.
Ï Êˆ 2 ¸ 3 Ê 1ˆ - 3 1
2
11. Simplify Ì Á˜ ˝ ¥ Á ˜ ¥ ¥ ( ) 9 - 1 .
3
3
Ó Ë¯ ˛ Ë ¯ 3
12. Find (84) using the column method.
3
13. Divide (x – 6x + 11x – 6) by x – 3 using the factorization method.
2
3
14. Factorize 2x + 6x + 1 by completing the squares.
2
6 3
15. Solve 3x + = 6x + .
5 25
16. 2 men can do a piece of work in 10 days. How many men are needed to complete the work in 5 days?
17. Hariti pays 5% tax in addition to the price of a sticker. Find the price of the sticker if she pays ` 5.25 in
all.

Section C
Question number 18 to 21 carry 3 marks each.

4 7
18. For a = , b = , c = –2, show that a – (b – c) ≠ (a – b) – c.
5 5
19. Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 21,384. Find the numbers.
20. Simplify (5x + 2) (2 – 3x) – (x – 3) (x + 2).
OR
2
3
2
Divide 3x – 3x – 4x – 4x by x – 2x using the long division method.
4
21. A cistern can be filled by a tap in 7 hours and emptied by an outlet pipe in 9 hours. How long will it take
to fill the cistern if both the tap and the pipe are opened together?
Section D
Question number 22 to 25 carry 6 marks each.
22. (a) Find the square root of 2 upto three places of decimals.

(b) Evaluate 128 ¥ 162.
23. Factorize the following:
4

12 4
4 12
(a) p q – p q (b) (3u+ 2v) – 6(3u+ 2v) – 72
2

24. A streamer goes downstream and covers the distance between two ports in 4 hours. It covers the same
distance upstream in 5 hours. If the speed of the stream is 2 km/h, find the speed of the streamer in
still water and the distance between the two ports.
25. The price of rice has been increased by 40%. By how much percent must this new price be decreased
to retain its former price?

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