**CBSE Sample Papers Class VIII Mathematics (2012-2013)**

**Section-A**

1) A dealer buys
a wrist watch for Rs.225 and spends RS.15 on its repairs. If he sells the same
for RS.300, find his profit percent.

(a) 75% (b) 60%
(c) 25% (d) 20%

2) Mona gets 98
marks in her exams. This amounts to 56% of the total marks. What are the
maximum marks?

(a) 175 (b) 150
(c) 200 (d) 160

3) Akhil has to
pay 4% sales tax in addition to the price of a certain article. Find the price
of the article, if he pays Rs.260 in all.

(a) Rs.220 (b)
Rs.250 (c) Rs.256 (d) Rs.200

4) The value of
a machine depreciates every year by 10%. What will be its value after 2 years,
if its present value is Rs.50,000?

(a) Rs.40,500
(b) Rs.40,050 (c) Rs.40,000 (d) Rs.45,000

5) Aby lent
Rs.8,000 to his friend for 3 years at the rate of 5% per annum compounded
annually. What amount does Aby get afer 3 years?

(a) Rs.9,000 (b)
Rs.9,200 (c)Rs.9,216 (d) Rs.9,261

6) Find the
amount on Rs.4,096 at the rate of 12 ½% per annum for 18 months compounded
half-yearly.

(a) Rs.5,000 (b)
Rs.4,913 (c) Rs.4,931 Rs.5,832

7) The present
population of a town is 28,000. If it increases at the rate of 5% per annum,
what will be its population after 2 years?

(a) 30,000 (b)
30,800 (c) 30,870 (d) 30,870

9) If the cost
price of 18 mangoes is the same as the selling price of 16 mangoes, find the
gain percent.

(a) 15% (b)
12.5% (c0 15.5% (d) 12%

10) What is the
value of „m‟, if = ? (5

^{2})^{n}m = (5^{-7})^{2}
a) 5 b) -2 c) -7
d) 2

**Section-B( 3 marks questions)**

11. What least number
must be subtracted from 7250 to get a perfect square? Also, find the square
root of this perfect square

12. What is the least
number by which 12348must be divided to obtain a perfect square?

13. x+ y + z = 0, prove that x

^{3}+ y^{3}+ z3 = 3xyz. Or, Factorize: (a8 – b8)
14. If ( x2 + 1/x2) = 83 . Find
X

^{3}- 1/X^{3}
15. Factorize (i) 25a² – 4b² + 28bc – 49c² (ii) 5y² – 20y – 8z + 2yz

16.A motor boat covers
a certain distance downstream in a river in 5 hours. It covers the same
distance upstream in 6 hours. The speed of water is 2 km/hr . Find the speed of
the boat in still water.

17. Each
side of a triangle is increased by 10 cm. If the ratio of the perimeters of the
new triangle and the given triangle is 5 : 4, find the perimeter of the
given triangle

18. A dealer
buys an article for Rs.380. At what price must he mark it so that after
allowing a discount of 5%, he still
makes a profit of 25%?

19. Ajit buys a
motorcycle for Rs.17600 including Value Added Tax. If the rate of VAT is 10%,
what is the sale price of motorcycle?

20. Two sides of
a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the
lengths of its sides.

**Section-C**

**( 5 marks questions)**

21. ABCD is a
rectangle. If BM and DN are perpendiculars from B and D on AC, prove that ∆ BMC
≅ ∆ DNA. Is it true that BM = DN?

23. If (x + l)(x
+ m) = x

^{2}+ 4x+ 2 find l^{2}+ m^{2}and (l - m)^{2}
24.
ABCD is a parallelogram and line
segments AE and CF bisect the angles A and C and meet DC and AB at E and F respectively. Show that AE ∥
CF.

25. The lengths of the
diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of
each of its sides.

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