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10th Feb. 2025 Gen. Mathematics Revision Test @ Indefatigables25

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

A circle can have -------- parallel tangent(s) at the most

a)

1

b)

2

c)

3

d)

4

2.

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length of PQ = ........

a)

12 cm

b)

13 cm

c)

8.5 cm

d)

119\sqrt[]{119} cm

3.

The length of the tangent from a point A at a circle of radius 3 cm is 4 cm. The distance of A from the centre of the circle is -------

a)

5 cm

b)

7 cm

c)

25 cm

d)

7\sqrt[]{7} cm

4.

PQ is tangent to a circle with centre O at the point P. If Δ\Delta OPQ is an isosceles triangle then the value of ∠\angle OQP is ........

a)

30 °\degree

b)

45 °

c)

60 °

d)

90 °

5.

Area of a sector of angle P (in degrees) of a circle with radius R is ......

a)

p180×2πr\frac{p}{180}\times2\pi r

b)

p180×2πr2\frac{p}{180}\times2\pi r^2

c)

p360×2πr\frac{p}{360}\times2\pi r

d)

p720×2πr2\frac{p}{720}\times2\pi r^2

6.

The area of a circle is 49 π cm2\pi\ cm^2 . Its circumference is ------

a)

14 π cm14\ \pi\ cm

b)

54 π cm54\ \pi\ cm

c)

3.5 π cm3.5\ \pi\ cm

d)

7 π cm7\ \pi\ cm

7.

The area of incircle of an equilateral triangle is 154 cm2cm^2 then the perimeter of the triangle is -------

a)

72 cm

b)

72.7 cm

c)

72.5 cm

d)

72.17 cm

8.

The area of the largest triangle that can be inscribed in a semi-cirds of radius rr is -------

a)

πr\pi r

b)

r2r^2

c)

πr2\pi r^2

d)

32 r\frac{\sqrt[]{3}}{2}\ r

9.

The volume of a cube is 2744 cm3cm^3 . Its surface area is ------

a)

1176 cm2

b)

616 cm2

c)

784 cm2

d)

216 cm2

10.

The volume and surface area of a sphere are equal. Diameter of the sphere is ------

a)

3 unit

b)

6 unit

c)

2 unit

d)

4 unit

11.

2 cubes each of volumes 64 cm3 are joined end to end. The surface area of the resulting cuboid is ..........

a)

48 cm2

b)

64 cm2

c)

80 cm2

d)

160 cm2

12.

The surface area of a cube is 600 m2 . The length of each edge is ------

a)

15 m

b)

10 m

c)

8 m

d)

5 m

13.

The median and mode of a data are 33 and 45 respectively. Then its mean is -----

a)

30

b)

33

c)

27

d)

35

14.

If the mode of the data, 64, 60, 48, x, 43, 48, 43 is 43, then the value of x + 3 will be------

a)

44

b)

45

c)

46

d)

47

15.

The mode of the following distribution is -------

Class interval

10-14 14-18 18-22 22-26 26-30

Frequency: 5 11 16 25 19

a)

23.5

b)

24

c)

24.4

d)

25

16.

A die is thrown once. The probability of getting a number less than 3 is ------

a)

12\frac{1}{2}

b)

13\frac{1}{3}

c)

16\frac{1}{6}

d)

14\frac{1}{4}

17.

The probability that a non-leap year has 53 sundays is -------

a)

17\frac{1}{7}

b)

27\frac{2}{7}

c)

57\frac{5}{7}

d)

67\frac{6}{7}

18.

A month is selected at random in a year. The probability that it is March or October is-----

a)

16\frac{1}{6}

b)

112\frac{1}{12}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

19.

A number is selected from first 50 natural numbers then the probability that is is a multiple of 3 or 5 is -----

a)

1225\frac{12}{25}

b)

1325\frac{13}{25}

c)

2150\frac{21}{50}

d)

2350\frac{23}{50}

20.

If the probability of winning a game is 0.4, the probability of losing it is -----

a)

0.96

b)

0.6

c)

10.4\frac{1}{0.4}

d)

0.06