CCE
CBSE Sample Papers Class VIII Mathematics
2. In case of Compound interest, the principal
3. Bananas are bought at the rate of 4 for Rs. 3. At what rate must they be sold to get a gain of 20% for each banana?
4. The square root of 0.09 is
5. The smallest number by which 9408 must be divided so that the quotient is a perfect square is
6. The square root of ( 2^{5}/2^{3})
7. A parallelogram each of whose angles measures 90o is ______.
8. A parallelogram whose all sides are equal is called
9. The two diagonals are not necessarily equal in a ………………. .
10. The degree of the polynomial x^{2 } 5x^{2} y^{3 }+ 30x y  576xy is ______
12. A trader buys an article for Rs. 1,200 and marks it 30% above the C.P. He then sells it after allowing a discount of 20%. Find the S.P. and profit percent.
13. A television set was sold after giving successive discounts of 10% and 20% respectively. Find sigle discount ?
14. In how much time will a sum of Rs. 1600 amount to ` 1852.20 at 5% per annum compound interest.
15. Find the difference between Simple Interest and Compound Interest for a sum of Rs. 8,000 lent at 10% p. a. in 2 years.
Section C
16. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.
17. Two adjacent angles of a parallelogram are (3x  4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles
18. A and B together can do a piece of work in 8 days, but A alone can do it 12 days. How many days would B alone take to do the same work?
19. Two persons A and B are engaged in a work. A can do a piece of work in 12 days and B can do the same work in 20 days. They work together for 3 days and then A goes away. In how many days
will B finish the work?
20. A can do a piece of work in 10 days and B can do it in 15 days. How much does each of them get if they finish the work and earn Rs. 1500?
22. Six men working 10 hours a day can do a piece of work in 24 days. In how many days will 9 men working for 8 hours a day do the same work?
23. ABCD is a square and Ac is a diagonal . Find the measure of ∠CAD.
24. x + y + z = 0, prove that x ^{3}+ y^{3} + z^{3} = 3xyz.
25. Factorize (i) y^{2} –7y +12 (ii) x^{4} – (y + z)^{4 }
SectionA
1.
The Compound interest is
a)
always less than the simple interest
b) always equal to the simple interest
b) always equal to the simple interest
c)
always greater than simple interest
d) always greater than or equal to simple interest.
d) always greater than or equal to simple interest.
2. In case of Compound interest, the principal
a)
increases every year b)
remains same
c)
decreases every year d)
increase for the first year and then decreases
3. Bananas are bought at the rate of 4 for Rs. 3. At what rate must they be sold to get a gain of 20% for each banana?
a)
Rs 0.50 b) Rs 0.75 c) Rs 0.85 d) Rs 0.90
4. The square root of 0.09 is
a)
0.03 b) 0.3 c) 0.003 d) 3.0
5. The smallest number by which 9408 must be divided so that the quotient is a perfect square is
a)
2 b) 3 c) 7 d) None
6. The square root of ( 2^{5}/2^{3})
a)
4 b) 10 c) 1 d) 2
7. A parallelogram each of whose angles measures 90o is ______.
(a)rectangle (b)rhombus (c)kite (d)trapezium
8. A parallelogram whose all sides are equal is called
(a)square (b)rhombus
(c)rectangle (d) trapezium
9. The two diagonals are not necessarily equal in a ………………. .
(a)
rectangle (b) square (c) rhombus (d) isosceles trapezium
10. The degree of the polynomial x^{2 } 5x^{2} y^{3 }+ 30x y  576xy is ______
(A)
– 576 (B) 4 (C) 5 (D) 7
Section B
11.
Name each of the following parallelograms.
(i)
The diagonals are equal and the adjacent sides are unequal.
(ii)
The diagonals are equal and the adjacent sides are equal.
(iii)
The diagonals are unequal and the adjacent sides are equal.
12. A trader buys an article for Rs. 1,200 and marks it 30% above the C.P. He then sells it after allowing a discount of 20%. Find the S.P. and profit percent.
13. A television set was sold after giving successive discounts of 10% and 20% respectively. Find sigle discount ?
14. In how much time will a sum of Rs. 1600 amount to ` 1852.20 at 5% per annum compound interest.
15. Find the difference between Simple Interest and Compound Interest for a sum of Rs. 8,000 lent at 10% p. a. in 2 years.
Section C
16. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.
17. Two adjacent angles of a parallelogram are (3x  4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles
18. A and B together can do a piece of work in 8 days, but A alone can do it 12 days. How many days would B alone take to do the same work?
19. Two persons A and B are engaged in a work. A can do a piece of work in 12 days and B can do the same work in 20 days. They work together for 3 days and then A goes away. In how many days
will B finish the work?
20. A can do a piece of work in 10 days and B can do it in 15 days. How much does each of them get if they finish the work and earn Rs. 1500?
SectionC
21. Find
the least number of six digits which is a perfect square. Find
the square root of this number.
22. Six men working 10 hours a day can do a piece of work in 24 days. In how many days will 9 men working for 8 hours a day do the same work?
23. ABCD is a square and Ac is a diagonal . Find the measure of ∠CAD.
24. x + y + z = 0, prove that x ^{3}+ y^{3} + z^{3} = 3xyz.
25. Factorize (i) y^{2} –7y +12 (ii) x^{4} – (y + z)^{4 }
(iii)
a^{4} – 2a²b² + b^{4 }(iv)
(l + m) ² – 4lm
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