Free Printable mathematics quiz

1.

For positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy:

a)

0 ≤ r < 3

b)

1 < r < 3

c)

0 < r < 3

d)

0 < r ≤ 3

2.

Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.

a)

99921

b)

99931

c)

99941

d)

99951

3.

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

a)

a

b)

b

c)

14b

d)

14a

4.

The ratio between the LCM and HCF of 5, 15, 20 is:

a)

9:1

b)

4:3

c)

11:1

d)

12:1

5.

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

a)

12:20

b)

12:11

c)

12:12

d)

none of these

6.

What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?

a)

20

b)

21

c)

22

d)

23

7.

Three sets of physics, chemistry and mathematics books have to be stacked in such a way that all the books are stored topic wise and the number of books in each stack is the same. The number of physics books is 192, the number of chemistry books is 240 and the number of mathematics books is 168. Determine the number of stacks of physics, chemistry and mathematics books

a)

8,10,7

b)

8,8,8

c)

7,10,8

d)

10,8,7

8.

Write the HCF of smallest composite number and smallest prime number

a)

1

b)

2

c)

3

d)

4

9.

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

a)

one decimal place

b)

two decimal place

c)

three decimal place

d)

four decimal place

10.

If the HCF of 55 and 99 is expressible in the form 55m – 99, then the value of m is

a)

1

b)

2

c)

3

d)

4

11.

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

12.

if 1 is a zero of polynomial p(x)=ax²-3(a-1)-1, then the value of a is

a)

2

b)

3

c)

1

d)

-2

13.

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

a)

7

b)

-7

c)

10

d)

-10

14.

The zeros of the quadratic polynomial x² +99x+127 are

a)

Both Positive

b)

Both Negative

c)

One Positive and one negative

d)

Both Equal

15.

A polynomial of degree three is called

a)

Linear Polynomial

b)

Quadratic Polynomial

c)

Cubic Polynomial

d)

None of these

16.

A constant polynomial has degree

a)

0

b)

1

c)

2

d)

3

17.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

a)

10

b)

-10

c)

5

d)

-5

18.

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

a)

\frac{4}{3}

b)

$-\frac{4}{3}$

c)

$\frac{2}{3}$

d)

$-\frac{2}{3}$

19.

On solving $\frac{25}{x+y}-\frac{3}{x-y}=1,\ \$ and $\frac{40}{x+y}+\frac{2}{x-y}=5\$ , we get

a)

$x=8,\ \ y=6$

b)

$x=4,\ \ y=6$

c)

$x=6,\ \ y=-4$

d)

None of these

20.

Solve $2x+3y=11$ and $2x-4y=-24$ and hence find the value of 'm' for which $y=mx+3$

a)

$m=1$

b)

$m=2$

c)

$m=-1$

d)

$m=-2$

21.

In a bag containing red and white balls, half the number of white balls is equal to one-third the number of red balls. Thrice the total number of balls exceeds seven times the number of white balls by 6. How many balls of each colour does the bag contain ?

a)

Red balls = 12 , and White balls = 10

b)

Red balls = 10 , and White balls = 10

c)

Red balls = 8 , and White balls = 12

d)

Red balls = 18 , and White balls = 12

22.

The equations $2x-3y+5=0$ and $6y-4x=10$ , when solved simultaneously, have :

a)

only one solution

b)

no solution

c)

only two solution

d)

infinite solution

23.

The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

a)

64

b)

46

c)

56

d)

66

24.

For what values of k will the following pair of linear equations have infinitely many solutions ? $kx+3y-\left(k-3\right)=0$ and $12x+ky-k=0$

a)

$k=-4$

b)

$k=6$

c)

$k=-3$

d)

$k=2$

25.

There are several human beings and several dogs in a room. One tenth of the humans have lost a leg. The total numbers of feet are 77, then the number of dogs is

a)

Not determinable due to insufficient data

b)

4

c)

5

d)

6

26.

Ganesh has to pay Rs. 482 for 19 apples and 11 guavas. If he would have exchanged the number of apples and guavas purchased, then he would have paid Rs.64 less. Find how much more amount he has to pay to purchase 1 apple than 1 guava

a)

Rs.19

b)

Rs.8

c)

Rs.11

d)

Rs.7

27.

$2\sin^245\degree$ =......

a)

1

b)

$\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$

d)

None of the above

28.

Is tanA the reciprocal of cotA

a)

NO

b)

YES

29.

The value of $\cos90\degree$ is 1

a)

TRUE

b)

FALSE

30.

If $\Delta ABC$ is right angled at C, then find the value of cos (A+B)

a)

0

b)

1

c)

$\frac{1}{2}$

d)

$\frac{\sqrt{3}}{2}$

31.

$\cot\ \left(90\degree-A\right)=$

a)

sec A

b)

sin A

c)

tan A

d)

cos A

32.

In a right angled triangle the side opposite to right angle is called

a)

Base

b)

Perpendicular

c)

Hypotenuse

d)

None of the above

33.

$\sin^229\degree+\sin^261\degree=$

a)

1

b)

0

c)

$2\sin^229\degree$

d)

$2\cos^261\degree$

34.

$\sin\theta=\frac{4}{3}\$ for some angle of $\theta$ . State true or false

a)

TRUE

b)

FALSE

35.

Write the maximum value of $\sin\theta$

a)

1

b)

-1

c)

0

d)

2

36.

State true or false: Two angles are said to be complementary if their sum is $90\degree$

a)

TRUE

b)

FALSE

37.

The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if :

a)

k = 5

b)

k = 10

c)

k ≠ 10

d)

k ≠ 5

38.

The pair of linear equations:
kx + 4y = 5 ; 3x + 2y = 5
is consistent only when:

a)

k ≠ 6

b)

k = 6

c)

k ≠ 3

d)

x = 3

39.

The pair of lines 'x = a' and 'y = b' graphically represent lines which are

a)

parallel

b)

intersecting at (a , b)

c)

coincident

d)

intersecting at (b , a)

40.

The pair of equations 'y = 0' and 'y = -7' has ____

a)

one solution

b)

two solutions

c)

infinitely many solutions

d)

no solutions

41.

Ordinate is positive and abscissa is negative then the point belongs to ................. quadrant.

a)

I

b)

II

c)

III

d)

IV

42.

Find the distance of the point (–6, 8) from the origin

a)

8

b)

11

c)

10

d)

9

43.

Point (0,-11) lies

a)

In the third quadrant

b)

On the negative y-axis

c)

On the positive x-axis

d)

On the fourth quadrant

44.

The perpendicular distance of point (-4, 8) from x-axis is ?

a)

-8

b)

7

c)

8

d)

9

45.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

46.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

47.

x-coordinate of a point is also known as _____

a)

Ordinate

b)

Origin

c)

Abscissa

d)

Ordered pair

48.

The point whose ordinate is 4 and which lies on y-axis is _____

a)

(4 , 0)

b)

(0 , 4)

c)

(1 , 4)

d)

(2, 4)

49.

The figure obtained by plotting the points (2 ,3), (-2, 3), (-2, -3) and (2, -3) is _________

a)

Trapezium

b)

Rectangle

c)

Square

d)

Rhombus

50.

What is the coordinates of point E?

a)

(0,6)

b)

(-4,3)

c)

(8,-9)

d)

(-6,-6)

51.

Say 'TRUE' or 'FALSE'
Point (1 , -1) and (-1 , 1) lies in the same quadrant

a)

TRUE

b)

FALSE

52.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

rectangle

53.

Abscissa of all the points on the x-axis is _____

a)

0

b)

1

c)

any number

d)

2

54.

If y-coordinate of a point is zero, then this point always lies:

a)

in I quadrant

b)

in II quadrant

c)

on x - axis

d)

on y - axis

55.

Distance between (p,q) and origin is .......... units.

a)

2 $\sqrt{pq}$

b)

pq

c)

p + q

d)

$\sqrt{p^2+\ q^2}$

56.

The other name of Y coordinate is.........

a)

abscissa

b)

ordinate

c)

Cartesian plane

d)

ordered pair

57.

A point is 3 units distance from X axis and 4 units distance from Y axis then the point is ............

a)

(3,4)

b)

(4,3)

c)

(-3,3)

d)

(-4,4)

58.

What is the mirror image of (3 , 9) on x-axis?

a)

(3 , -9)

b)

(9 , 3)

c)

(-9 , -3)

d)

(-3 , -9)

59.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

60.

The name of horizontal line in the cartesian plane which determines the position of a point is called:

a)

Qrigin

b)

x-axis

c)

y-axis

d)

quadrant

61.

The region bounded by two radii and corresponding arc of a circle is

a)

A) Segment

b)

B) Sector

c)

C) Area

d)

D) Perimeter

62.

The region bounded by chord and corresponding arc of a circle is

a)

A) Perimeter

b)

B) Sector

c)

C) Area

d)

D) Segment

63.

Angle of the sector is 90°then the ratio of Area of circle to area of sector is

a)

A) 1:4

b)

B) 1:2

c)

C) 4:1

d)

D) 2:3

64.

If the sum of areas of two circles with radii R₁ and R₂ is equal to the area of the circle of radius R then

a)

R₁ + R₂ = R

b)

(R₁)² + (R₂)² = R²

c)

R₁ + R₂ < R

d)

(R₁)² + (R₂)² R²

65.

a)

b)

c)

d)

66.

What is the area of sector of a circle with central angle $60\degree$

a)

$\pi r^2$

b)

$2\pi r$

c)

$\frac{\pi r^2}{6}$

d)

$\frac{\pi r^2}{2}$

67.

a)

a

b)

b

c)

c

d)

d

68.

Say 'TRUE' or 'FALSE'
The distance traveled by a circular wheel of diameter d cm in one revolution is 2πd cm

a)

TRUE

b)

FALSE

69.

Area of circle is 154cm², and Area of minor sector is 7.7cm², then calculate area of major sector of circle.

a)

A) 145 cm²

b)

B) 146.3 cm²

c)

C) 77 cm²

d)

D) 147 cm²

70.

Area of a sector with central angle $\theta$ is

a)

\frac{\theta}{360}\times\pi r^2

b)

$\frac{\theta}{360}\times2\pi r$

c)

$\frac{\theta}{360}\times\pi d$

71.

The area of the circle that can be inscribed in a square of side 6 cm is

a)

36pi sq.cm

b)

18pi sq.cm

c)

12pi sq.cm

d)

9pi sq.cm

72.

The perimeter of square circumscribing circle of radius 'a' cm is

a)

8a cm

b)

6a cm

c)

10a cm

d)

16a cm

73.

Which of the following cannot be the probability of an event?

a)

1.5

b)

$\frac{3}{5}$

c)

25%

d)

0.3

74.

A coin is tossed twice. The probability of getting both heads is

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

1

75.

A coin is tossed twice. The probability of getting both heads is

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

1

76.

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected random wise, the probability that it is a black or red ball is

a)

$\frac{2}{3}$

b)

$\frac{8}{10}$

c)

$\frac{7}{12}$

d)

none of these

77.

One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ......, 99. Suppose x is the sum of digits and y is the product of digits, then probability that x = 9 and y = 0 is

a)

$\frac{2}{17}$

b)

$\frac{3}{27}$

c)

$\frac{1}{50}$

d)

$\frac{1}{25}$

78.

A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace is

a)

$\frac{1}{13}$

b)

$\frac{12}{13}$

c)

$\frac{3}{4}$

d)

$\frac{1}{4}$

79.

A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six.

a)

$\frac{3}{4}$

b)

$\frac{1}{4}$

c)

$\frac{1}{2}$

d)

1

80.

The probability of a non-leap year having 53 Mondays is

a)

$\frac{1}{7}$

b)

$\frac{2}{7}$

c)

$\frac{3}{7}$

d)

$1$

81.

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace

a)

$\frac{4}{13}$

b)

$\frac{3}{13}$

c)

$\frac{2}{13}$

d)

none of these

82.

a)

(1) → (A), (2) → (B), (3) → (C)

b)

(1) → (B), (2) → (A), (3) → (C)

c)

(1) → (C), (2) → (B), (3) → (E)

d)

(1) → (C), (2) → (B), (3) → (D)

mathematics quiz

Total questions: 82

Worksheet time: 1hrs 22mins

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