# Sample Paper A

Q.1: Solve the following equations:

a) 7x – 19 = 6

b) 2x + 1 = 14 + x

c) 8x + 4 = 3 (x – 1) + 7

d) 3 (t – 3) = 5 (2t + 1)

e) n/2 – 3n/4 + 5n/6 = 21

Q.2: The age of voters who visited a voting centre are:

25, 30, 56, 78, 44, 25, 26, 71, 65, 48, 55, 26, 75, 33, 26, 28, 45, 66, 47, 66, 98, 21, 36, 45, 73, 89, 92, 63, 45, 75, 51, 52, 36, 35.

Using tally marks make a frequency table with intervals as 20-30, 30-40 and so on. Also draw a bar graph to illustrate it.

Q.3: If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2.5 kg ?

Q.4: Factorise:

a) 12a2 b + 15ab2

b) x2 + 8x + 16

c) 49p2 – 36

d) z2 – 4z – 12

Q.5: Find the area of a trapezium whose height is 3 cm and the parallel sides are of length 7 cm and 9 cm.

Q.6: Find the ratio of 35 minutes to 2.5 hours.

Q.7: An item is marked for Rs.840 is sold for Rs.714. What is the discount and discount percentage ?

Q.8: If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours ?

Q.9: Meenu bought two fans for Rs.1200. One is sold at a loss of 5% and the other at a profit of 10%. Find the selling price of each. Also find out the total profit or loss.

Q.10: A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same ?

Q.11: Find the area of a rhombus having diagonals of length 12 cm and 8.4 cm.

Q.12: Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2 .

Q.13: Divide:

a) ( 7x2 + 14x) by ( x + 2)

b) 44 ( x4 – 5x3 – 24x2 ) by 11x ( x – 8 )

Q.14: If the edge of a cube is doubled,

i) how many times will its surface area increase ?

ii) how many times will its volume increase ?

Q.15: What amount is to be repaid on a loan of Rs.12,000 for 1.5 years at 10% per annum compounded half yearly ?