Q.1 Solve the following question :-(Any Six) (12)
1) If 7 kg onions cost 140 rupees, how much must we pay for 12 kg onions?
2) Two mobiles cost 16,000 rupees. How much money will be required to buy 13 such mobiles ?
3) Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must he read in a day to
finish it in 8 days?
4) If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?
5) If the interest on 1700 rupees is 340 rupees for 2 years the rate of interest must be ................
(i) 12 % (ii) 15 % (iii) 4 % (iv) 10 %
6) If the circumference of a circle is 176 cm, find its radius.
7) If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120° then
m(arc AYB) = ...................
(i) 140° (ii) 60° (iii) 240° (iv) 160°
Q.2 Solve the following question :-(Any Four) (12)
1) Suresh and Ramesh together invested 144000 rupees in the ratio 4:5 and bought a plot of land. After some years
they sold it at a profit of 20%. What is the profit each of them got?
2) Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he
must pay and the total amount he returns to the bank?
3) Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the
end of the period, he had received altogether 17,400 rupees.For how many years had he deposited his money ?
4) The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40
rupees per metre ?
5) If the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that
of the new rectangle be?
Q.3 Solve the following question :-(Any Four) (12)
1) An open box of length1.5m,breadth1m,andheight1mistobemadeforuseona trolley for carrying garden waste. How
much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with
rust proof paint. At a rate of 150 rupees per sq m, how much will it cost to paint the box?
2) The sides of some triangles are given below. Find out which ones are right-angled triangles?
(i) 8, 15, 17 (ii) 11, 12, 15 (iii) 11, 60, 61
3) Use the formula to multiply the following.
(i) (x+y) (x - y) (ii) (a+6) (a-6)
4) A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many
tiles will fit in the entire hall? How many would be required if tiles of side 15 cm were used?
5) Find the total surface area of cubes having the following sides.
(i) 3 cm (ii) 5 cm (iii) 7.2 m
Q.4 Solve the following question :-(Any Three) (12)
1) Factorise the following expressions
. (i) p2 - q2 (ii) 4x2 - 25y2
2) The daily rainfall for each day of a week in a certain city is given in millimetres. Find the average rainfall during
the week. 9, 11, 8, 20, 10, 16, 12
3) A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.
3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4
4) In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.
Q.4 Solve the following question :-(Any Three) (12)
1) Find the Pythagorean triplets from among the following sets of numbers.
(i) 3, 4, 5 (ii) 4, 5, 6 (iii) 9, 40, 41
2) If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from
the bank?
3) Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she
cycles at a speed of 4 km/hr, how long would she take ?
4) The wheel of a bullock cart has a diameter of 1.4m. How many rotations will the wheel complete as the cart
travels 1.1 km ?
