Model Question Set
Attempt all the questions.
Group
‘A’ [6*1=6]
1.
If S.P is Rs 115 and profit is Rs 15, what is the profit
percent ?
2.
The area of cross section of a prism is 45 cm2
and its height is 10cm,find its volume.
3.
Write down the roots of the quadratic equation ax2
+ bx + c = 0 .
4.In
the adjoining figure, P and Q are the
mid points of AB and AC respectively. Write the relation between PQ and BC..
5.In the adjoinning figure, O is the centre of the circle and
AB is the chord. If the AP = PB, Write the relation between OP and AB.
6.If x represents all the
data and n be the number of items, then what is the mean of the data ?
Group ‘B’ [17*2=34]
7.The net profile of the
finance company in a year is RS 56,00,000 and the board of directors announces
8% dividend from the net profile. If the company has sold 500 shares, find the
dividend of each share.
8.A man hired a taxi and
travel 6 km at 2:00 pm. If the maximum fsre of RS 14 appeared immediately
after the meter was flagged
down and the fare goes on at the rate of RS. 7.20 per 200 meters, calculate the
total fare paid by the man.
9.In the given figure, calculate the area of shaded region.
10.A room is 15 m long, 12m
board and 5 m high. Find the cost of painting its walls and ceiling at Rs 40
per sq.m.
11.A wall is 45 m long, 4,
high and 25 cm wide. It has two windows each of 2 m × 1.5 m. Find the volume of
the wall excluding window.
14.If a = bc,b=ca,
prove that abc = 1 .
15.Solve: 5x2-45x
= 0
16.Two number are in the
same ratio 4:3. When 10 is added to each term, the ratio becomes 13:10, Find
the numbers.
17.In the adjoining figure,
O is the centre of a circle with radius 5cm. If OP = 3 cm, find the length of
thr chord.
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