Free Printable class-x

1.

\Delta ABC

is an isosceles triangle in which

\angle C=90\degree

. If AC =6 cm, AB=

a)

6 $\sqrt{2}$ cm

b)

6 cm

c)

2 $\sqrt{6}$ cm

d)

4 $\sqrt{2}$ cm

2.

The length of hypotenuse of an isosceles right triangle whose one side is 4 $\sqrt{2}$ cm is

a)

12cm

b)

8cm

c)

8 $\sqrt{2}$ cm

d)

12 $\sqrt{2}$ cm

3.

$\Delta ABC$ $\sim$ $\Delta\ PQR$ , such that ar( $\Delta$ ABC)=4 ar( $\Delta PQR$ ).If BC= 12 cm, then QR=

a)

9 CM

b)

10 cm

c)

6 cm

d)

8 cm

4.

If one of the zeros of quadratic polynomial (k-1)x²+kx+1 is -3, then the value of k is

a)

4/3

b)

-4/3

c)

2/3

d)

-2/3

5.

Sum of the zeros of the polynomial x²+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

6.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

7.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

70, 79, 88

d)

61, 70, 79

8.

The decimal expansion of 21/24 will terminate after how many places of decimal?

a)

1

b)

2

c)

3

d)

4

9.

Euclid's Division lemma states that for any tow positive integers a and b, there exists unique integers q and r such that a=bq+r where r must satisfy

a)

0<r<b

b)

0 $\le$ r<b

c)

0<r $\le$ b

d)

0 $\le$ r $\le$ b

10.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

11.

What is the probability of spinning an even number?

a)

30%

b)

33%

c)

50%

d)

67%

12.

The radius of the in-circle of an equilateral triangle of each side 2a is equal to ____

a)

a

b)

a⁄√3

c)

√3 a

d)

None of these

13.

The perimeters of the two circles are in the ratio 2 : 3. The ratio of their areas is ___

a)

4 : 9

b)

2 : 3

c)

7 : 9

d)

4 : 10

14.

What is the distance of the point (-3, -4) from x axis

a)

3

b)

4

c)

7

d)

12

15.

Mid point of line segment joining points (-2 ,4) and (6, 10) is _____

a)

(2, 5)

b)

(2 , 7)

c)

(3 , 7)

d)

(3, 8)

16.

Find the number of bricks required to cover a floor of area 9.375 cm² , if the area of each brick is 937.5 cm²

a)

10 bricks

b)

100 bricks

c)

1000 bricks

d)

10000 bricks

17.

The volume of a cube whose edge is 4 cm is ______

a)

16 cm²

b)

64 cm²

c)

16 cm³

d)

64 cm³

18.

What is the empirical relation between mean, median and mode?

a)

Mode = 3 Median - 2 Mean

b)

Mean = 3 Mode - 2 Mode

c)

Median = 3 Mean - 2 Mode

d)

Mode = 3 Median + 2 Mean

19.

What is the class size of the class 15 - 30?

a)

15

b)

30

c)

22

d)

22.5

20.

If a pair of linear equations is consistent then their graph lines will be_______

a)

Parallel

b)

Always coincident.

c)

Always intersecting.

d)

Intersecting or coincident.

21.

If the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution, then k =___

a)

-10

b)

-5

c)

-6

d)

-15

22.

In a right triangle, one side other than the hypotenuse is 8 cm and an acute angle is 45°. What is the length of the hypotenuse?

a)

4 cm

b)

8 cm

c)

8√2 cm

d)

None of the above

23.

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

a)

2 m

b)

4√3 m

c)

4⁄√3 m

d)

4 m

24.

In the given figure, AB and AC are tangents to the circle with centre O such that angle BAC = 40° , then angle BOC is equal to

a)

40°

b)

50°

c)

140°

d)

150°

25.

In figure, if angle ATO = 40°, find angle AOB

a)

120°

b)

140°

c)

100°

d)

80°

class-x

Total questions: 25

Worksheet time: 19mins

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