Sample Paper C

Q.1: Add the following: 2p² q² + 3pq – 18 and 25 – 12pq – 15p² q²

Q.2: Find the value of : ( 3⁰ + 4^(-1) ) x 2²

Q.3: In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship ?

Q.4: Factorise: 10x² – 18x³ + 14x⁴

Q.5: Plot the points (-3, 4) and (3, -4) on a graph sheet.

Q.6: Divide: 63a⁴ b⁶ c³ by 9a³ b⁵ c

Q.7: Subtract 48qp + 23p² – 15q² + 11p from 25p² – 12q² + 6pq – 36p

Q.8: Find the volume of a cuboid having length = 14p, breadth = 12pq and height = 3q²

Q.9: Find the product of : (2/3)xy and (-4/8) y²

Q.10: Write 152500000 and 0.0002548 in standard form.

Q.11: 6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used ?

Q.12: Factorise:

a) 25m² + 30m + 9

b) p² + 6p + 8

Q.13: Multiply: (x – 4) and (2x + 3)

Q.14: Using identity, find the solution of:

a) (4k – 5)²

b) 983² – 17²

c) 194 x 206

d) 501 x 502