Free Printable Percentages and Ratios Quiz

1.

What is 20% of 150?

a)

20

b)

25

c)

30

d)

35

2.

Increase 200 by 10%

a)

210

b)

220

c)

230

d)

240

3.

Decrease 300 by 20%

a)

280

b)

250

c)

240

d)

260

4.

40 is what percent of 200?

a)

10%

b)

15%

c)

20%

d)

25%

5.

What is 150% of 80?

a)

100

b)

110

c)

120

d)

140

6.

What percent of 50 is 5?

a)

5%

b)

10%

c)

15%

d)

20%

7.

Convert 0.25 to percentage

a)

2.5%

b)

25%

c)

0.25%

d)

250%

8.

If a number is increased by 25%, it becomes 100. What was the original number?

a)

75

b)

80

c)

85

d)

90

9.

100 is what percent more than 80?

a)

10%

b)

20%

c)

25%

d)

30%

10.

If 10% of x is 25, what is x?

a)

200

b)

250

c)

300

d)

350

11.

What is 5% of 200?

a)

10

b)

15

c)

20

d)

25

12.

Markup of 25% on cost price of 80 is:

a)

90

b)

95

c)

100

d)

105

13.

Find selling price if cost is 120 and profit is 10%

a)

130

b)

132

c)

135

d)

140

14.

A value drops from 500 to 400. Find percentage decrease

a)

10%

b)

15%

c)

20%

d)

25%

15.

A person saves 20% of 1500. How much is saved?

a)

150

b)

200

c)

250

d)

300

16.

Convert 75% into fraction

a)

3/5

b)

3/4

c)

4/5

d)

5/6

17.

If 60 is 20% of x, find x

a)

200

b)

250

c)

280

d)

300

18.

What percent is 45 out of 60?

a)

70%

b)

75%

c)

80%

d)

85%

19.

What is 2.5% of 160?

a)

4

b)

5

c)

6

d)

3

20.

If 35% of a number is 70, what is the number?

a)

150

b)

180

c)

200

d)

220

21.

20% of x is 50. What is x?

a)

200

b)

220

c)

240

d)

250

22.

Selling price is 240 with 20% profit. What is cost price?

a)

200

b)

210

c)

220

d)

230

23.

The price after 15% discount on $400?

a)

340

b)

350

c)

360

d)

370

24.

What is 0.5% of 600?

a)

3

b)

4

c)

5

d)

2

25.

If income increases from 5000 to 6000, percentage increase is?

a)

10%

b)

15%

c)

20%

d)

25%

26.

Find the original value if 15% loss results in 170

a)

180

b)

190

c)

200

d)

210

27.

What percent of 90 is 27?

a)

25%

b)

30%

c)

33.3%

d)

35%

28.

A price increases by 10% and then 20%. Find total increase

a)

25%

b)

28%

c)

30%

d)

32%

29.

20 is what percent of 80?

a)

15%

b)

20%

c)

25%

d)

30%

30.

If 75 is 25% of x, find x

a)

200

b)

250

c)

300

d)

350

31.

What is the simplified form of the ratio 8:12?

a)

2:1

b)

2:3

c)

3:2

d)

4:3

32.

If A:B = 2:3 and B:C = 4:5, find A:C

a)

2:5

b)

3:5

c)

4:5

d)

8:15

33.

Divide 300 in the ratio 2:3

a)

130, 170

b)

150, 150

c)

120, 180

d)

100, 200

34.

The ratio of 50 to 200 is:

a)

1:2

b)

1:3

c)

1:4

d)

1:5

35.

If x:y = 4:7, then (3x + 2y):(2x + 3y) = ?

a)

25:26

b)

26:25

c)

29:26

d)

26:29

36.

If 3x = 4y, then x:y = ?

a)

3:4

b)

4:3

c)

5:4

d)

4:5

37.

Ratio of 2.5 to 5 is:

a)

1:2

b)

2:1

c)

2:5

d)

1:5

38.

A and B share profit in 5:3. If profit is 800, B gets:

a)

200

b)

280

c)

300

d)

500

39.

Find mean proportional between 4 and 25

a)

10

b)

12

c)

16

d)

20

40.

Find third proportional to 6 and 12

a)

18

b)

20

c)

24

d)

36

41.

If 4:5 = x:10, find x

a)

6

b)

7

c)

8

d)

9

42.

If A:B = 3:4 and B:C = 5:6, then A:C = ?

a)

1:2

b)

3:5

c)

5:6

d)

15:24

43.

In what ratio should 120 be divided between A and B if A gets 2 parts and B gets 1 part?

a)

60:60

b)

70:50

c)

80:40

d)

90:30

44.

If a:b = 3:2 and b:c = 4:3, then a:c = ?

a)

2:1

b)

2:3

c)

3:2

d)

6:5

45.

The numbers 15, 30, 45 are in what ratio?

a)

1:2:3

b)

1:3:4

c)

3:2:1

d)

1:2:4

46.

Find the fourth proportional to 3, 6, and 9

a)

12

b)

15

c)

18

d)

20

47.

If 4 pencils cost $2, how many pencils for $5?

a)

8

b)

9

c)

10

d)

12

48.

If a/b = 2/5, then (3a + 2b):(4a + 5b) = ?

a)

1:1

b)

3:4

c)

16:33

d)

33:16

49.

A mixture has milk and water in 3:2. Total is 50L. Find milk.

a)

20L

b)

25L

c)

30L

d)

35L

50.

What is the inverse ratio of 7:4?

a)

1:2

b)

3:4

c)

4:7

d)

7:4

51.

Simplify: (5:6) ÷ (10:9)

a)

1:2

b)

2:3

c)

3:4

d)

3:5

52.

Ratio of 45 min to 2 hours is:

a)

1:2

b)

2:3

c)

3:4

d)

3:8

53.

60:75 = ?

a)

3:4

b)

4:5

c)

5:6

d)

6:7

54.

If a:b = 3:2, then (2a - b):(a + 3b) = ?

a)

2:3

b)

3:4

c)

4:5

d)

5:6

55.

If 6:9 = 2:x, find x

a)

3

b)

4

c)

5

d)

6

56.

If a:b = 4:5 and b:c = 5:6, then a:b:c = ?

a)

2:3:4

b)

3:4:5

c)

4:5:6

d)

4:6:5

57.

A and B divide $600 in 3:2. What is A's share?

a)

240

b)

300

c)

360

d)

400

58.

The ratio of 0.5 to 2.5 is:

a)

1:2

b)

1:4

c)

1:5

d)

2:5

59.

Ratio of 3 weeks to 10 days is:

a)

2:1

b)

3:1

c)

3:2

d)

21:10

60.

Divide 1800 in ratio 5:4:1

a)

900:720:180

b)

1000:600:200

c)

750:900:150

d)

900:720:180

61.

In how many ways can 4 letters be arranged?

a)

12

b)

32

c)

24

d)

16

62.

From 5 vowels, how many 2-letter words can be formed? (no repetition)

a)

30

b)

25

c)

20

d)

10

63.

How many ways to choose 2 out of 5?

a)

5

b)

20

c)

15

d)

10

64.

What is the value of 5C2?

a)

5

b)

20

c)

15

d)

10

65.

What is 4P2?

a)

4

b)

6

c)

8

d)

12

66.

What is 6P1?

a)

36

b)

7

c)

6

d)

5

67.

In how many ways can a president and secretary be chosen from 6 people?

a)

12

b)

15

c)

36

d)

30

68.

What is the number of ways to select 3 students from 10?

a)

720

b)

120

c)

90

d)

60

69.

7C0 = ?

a)

2

b)

7

c)

0

d)

1

70.

What is the value of 7P3?

a)

420

b)

320

c)

120

d)

210

71.

How many 3-digit numbers can be formed using 1, 2, 3, 4 (no repetition)?

a)

120

b)

60

c)

64

d)

24

72.

How many ways to select 2 red balls from 4?

a)

10

b)

8

c)

4

d)

6

73.

From 8 items, how many ways to choose 3?

a)

36

b)

120

c)

24

d)

56

74.

How many different 4-letter words from the word "NOTE"?

a)

36

b)

48

c)

24

d)

12

75.

In how many ways can 4 boys and 3 girls sit in a row (boys first, then girls)?

a)

288

b)

5040

c)

720

d)

144

76.

How many ways can 6 people sit at a round table?

a)

240

b)

60

c)

720

d)

120

77.

What is 9C3?

a)

64

b)

120

c)

72

d)

84

78.

5 students line up. What's the number of arrangements?

a)

20

b)

120

c)

60

d)

100

79.

How many 2-digit numbers can be formed using 1, 2, 3?

a)

12

b)

3

c)

9

d)

6

80.

If repetition allowed, how many 2-digit numbers using 1-4?

a)

24

b)

20

c)

16

d)

12

81.

3-digit even numbers from 1, 2, 3, 4 (no repetition)?

a)

24

b)

16

c)

12

d)

8

82.

From 6, choosing 2 with repetition allowed?

a)

15

b)

18

c)

36

d)

21

83.

What is 10C1 + 10C2?

a)

66

b)

60

c)

55

d)

65

84.

What is 0! ?

a)

∞

b)

Undefined

c)

1

d)

0

85.

2 boys and 3 girls are selected from 4 boys and 5 girls. Ways?

a)

90

b)

80

c)

60

d)

40

86.

In how many ways can letters of "ABC" be arranged?

a)

12

b)

9

c)

6

d)

3

87.

How many ways to choose 2 people from a group of 4?

a)

8

b)

6

c)

5

d)

4

88.

If order matters, how many 2-person groups from 4?

a)

16

b)

8

c)

6

d)

12

89.

What is the distance between points (0, 0) and (3, 4)?

a)

6

b)

4

c)

7

d)

5

90.

Midpoint of (2, 4) and (6, 8) is:

a)

(2, 6)

b)

(5, 7)

c)

(4, 6)

d)

(3, 6)

91.

Slope of line joining (2, 3) and (4, 7):

a)

4

b)

3

c)

2

d)

1

92.

Equation of x-axis is:

a)

x = 1

b)

x = y

c)

y = 0

d)

x = 0

93.

Distance between (1, 1) and (4, 5):

a)

√20

b)

√25

c)

6

d)

5

94.

Slope of x-axis is:

a)

-1

b)

1

c)

∞

d)

0

95.

The centroid of triangle with vertices A(0, 0), B(6, 0), C(0, 6):

a)

(4, 4)

b)

(2, 3)

c)

(3, 2)

d)

(2, 2)

96.

Equation of a line with slope 2 and passing through (1, 2):

a)

y = 2x

b)

y = 2x - 2

c)

y = 2x + 1

d)

y = 2x

97.

Area of triangle with vertices (0,0), (4,0), (0,3):

a)

4

b)

10

c)

12

d)

6

98.

Coordinates of point dividing line (2, 3) and (6, 7) in ratio 1:1:

a)

(2, 6)

b)

(5, 6)

c)

(3, 4)

d)

(4, 5)

99.

What is the slope of a vertical line?

a)

∞

b)

Undefined

c)

1

d)

0

100.

What is the general form of a straight-line equation?

a)

x = y

b)

x² + y² = r²

c)

ax + by + c = 0

d)

y = mx + b

101.

What is the length of the line segment joining (2, -1) and (5, 3)?

a)

√41

b)

√25

c)

5

d)

4

102.

The equation x² + y² = r² represents:

a)

A triangle

b)

A parabola

c)

A line

d)

A circle

103.

The point (0, 0) is called:

a)

Center

b)

Origin

c)

Focus

d)

Vertex

104.

If two lines are perpendicular, the product of their slopes is:

a)

Undefined

b)

-1

c)

1

d)

0

105.

The coordinates of the midpoint of (-4, 2) and (2, 6):

a)

(-2, 4)

b)

(0, 4)

c)

(1, 4)

d)

(-1, 4)

106.

Which of the following is the distance formula?

a)

(x₂ × x₁) + (y₂ × y₁)

b)

(x₂ − x₁) + (y₂ − y₁)

c)

√[(x₂ − x₁)² + (y₂ − y₁)²]

d)

√[(x₂ + x₁)² + (y₂ + y₁)²]

107.

The coordinates of a point lie in the 3rd quadrant if

a)

x > 0, y> 0

b)

x < 0, y< 0

c)

x > 0, y< 0

d)

x <0, y > 0

108.

The y-intercept of the line y = 3x + 2 is:

a)

1

b)

5

c)

2

d)

3

109.

Equation of a line parallel to y = 2x + 1 and passing through (3, 4):

a)

y = 2x - 2

b)

y = 2x - 2

c)

y = 2x + 2

d)

y = 2x + 1

110.

If a line has slope 0, it is:

a)

Undefined

b)

Diagonal

c)

Vertical

d)

Horizontal

111.

The coordinates of the centroid of triangle with vertices (1, 1), (4, 1), and (1, 5):

a)

(2, 2.3)

b)

(2, 3)

c)

(3, 3)

d)

(2, 2)

112.

The point lies on x-axis if:

a)

y = x²

b)

x = y

c)

x = 0

d)

y = 0

113.

s of the centroid of triangle with vertices (1, 1), (4, 1), and (1, 5):

a)

(2, 2.3)

b)

(2, 3)

c)

(3, 3)

d)

(2, 2)

114.

The point lies on x-axis if:

a)

y = x²

b)

x = y

c)

x = 0

d)

y = 0

115.

A line with slope 1 and y-intercept -2 has equation:

a)

y = -x + 2

b)

y = -x - 2

c)

y = x - 2

d)

y = x + 2

116.

Two points are symmetric about the y-axis if:

a)

Same distance from origin

b)

y-values are opposites

c)

x-values are opposites

d)

They have same x-values

117.

The x-intercept of the line 3x - 2y = 6 is:

a)

(0, 2)

b)

(3, 0)

c)

(0, -3)

d)

(2, 0)

118.

A line perpendicular to x-axis is:

a)

y = x

b)

x + y = 0

c)

x = a

d)

y = a

119.

If distance from origin to a point is 13 and coordinates are (5, y), then y = ?

a)

8

b)

9

c)

10

d)

12

120.

If a triangle has vertices (0,0), (a,0), and (0,b), its area is:

a)

ab²/2

b)

(a+b)/2

c)

ab/2

d)

ab

121.

The line passing through (0, 2) with slope 3 is:

a)

y = x + 2

b)

y = 3x - 2

c)

y = 2x + 3

d)

y = 3x + 2

122.

If a line passes through origin and has slope 4, its equation is:

a)

y = x + 1

b)

y = 4x + 1

c)

y = 4x

d)

y = x + 4

123.

The distance from point (x, y) to origin is:

a)

x + y

b)

(x + y)/2

c)

√(x² + y²)

d)

x² + y²

124.

The perpendicular distance from point (3, 4) to x-axis is:

a)

0

b)

5

c)

3

d)

4)

125.

The line y = -x + 5 is:

a)

Inclined upward

b)

Inclined downward

c)

Parallel to y-axis

d)

Parallel to x-axis

126.

Coordinates of a point that lies on both x and y axis:

a)

(1, 1)

b)

(0, 1)

c)

(1, 0)

d)

(0, 0)

127.

If slope = -2 and it passes through (2, 3), equation is:

a)

y = -2x + 5

b)

y = -2x - 1

c)

y = 2x - 1

d)

y = -2x + 7

128.

Midpoint of (-2, -3) and (4, 5):

a)

(0, 2)

b)

(1, -1)

c)

(2, 1)

d)

(1, 1)

129.

If a line has undefined slope, its equation is:

a)

y = x

b)

y = mx + c

c)

y = a

d)

x = a

130.

Area of triangle formed by (0,0), (6,0), and (0,8):

a)

36

b)

12

c)

48

d)

24

131.

∫x dx =

a)

ln|x| + C

b)

x³/3 + C

c)

x²/2 + C

d)

x² + C

132.

∫cos(x) dx =

a)

-cos(x) + C

b)

cos(x) + C

c)

-sin(x) + C

d)

sin(x) + C

133.

∫e^x dx =

a)

1/x + C

b)

x·e^x + C

c)

ln|x| + C

d)

e^x + C

134.

∫1/x dx =

a)

-1/x + C

b)

x + C

c)

1/x + C

d)

ln|x| + C

135.

∫tan(x) dx =

a)

sec(x) + C

b)

-ln|cos(x)| + C

c)

ln|sec(x)| + C

d)

ln|cos(x)| + C

136.

∫[2x + 3] dx =

a)

x² + 9 + C

b)

2x² + 3x + C

c)

x² + 6 + C

d)

x² + 3x + C

137.

∫(x² + 4x + 1) dx =

a)

x³/2 + 2x² + x + C

b)

3x² + x + C

c)

x³ + 4x² + x + C

d)

x³/3 + 2x² + x + C

138.

∫k·f(x) dx =

a)

k²·f(x) + C

b)

∫k + f(x) dx

c)

k∫f(x) dx

d)

f(x)/k + C

139.

∫[f(x) + g(x)] dx =

a)

Cannot integrate

b)

∫f(x) + g(x) dx

c)

∫f(x) dx + ∫g(x) dx

d)

∫f(x) dx × ∫g(x) dx

140.

Which of the following is correct?

a)

None

b)

Both A and B

c)

∫a dx = ax + C

d)

∫0 dx = 0

141.

Integration by parts formula is:

a)

∫uv dx = u·v′ + C

b)

∫uv dx = u/v + ∫du

c)

∫uv dx = u + v - ∫v du

d)

∫uv dx = uv - ∫v du

142.

∫x·e^x dx =

a)

e^x(x - 1) + C

b)

x²/2 + C

c)

e^x + C

d)

x·e^x - e^x + C

143.

∫x·ln(x) dx =

a)

x²ln(x) - 1/x + C

b)

ln(x)/x + C

c)

x·ln(x) - x + C

d)

(x²/2)ln(x) - x²/4 + C

144.

For ∫x·sin(x) dx, let u = x, dv = sin(x) dx. Then v = ?

a)

-sin(x)

b)

sin(x)

c)

cos(x)

d)

-cos(x)

145.

∫x·cos(x) dx =

a)

x·sin(x) + sin(x) + C

b)

x·sin(x) + cos(x) + C

c)

x·sin(x) + C

d)

x·sin(x) + cos(x) + C

146.

∫₀¹ x² dx =

a)

2/3

b)

1

c)

1/3

d)

1/2

147.

∫₀² (2x) dx =

a)

8

b)

6

c)

4

d)

2

148.

Area under y = x from x = 0 to x = 2 is:

a)

None

b)

4

c)

1

d)

2

149.

∫₁² 1/x dx =

a)

ln(2) - ln(1)

b)

ln(3)

c)

ln(1)

d)

ln(2)

150.

If f(x) is positive and continuous on [a, b], then ∫ₐᵇ f(x) dx represents:

a)

Length of curve

b)

Slope

c)

Area under curve

d)

Volume

151.

∫₀^π sin(x) dx =

a)

-1

b)

2

c)

1

d)

0

152.

∫₀² (x² + 1) dx =

a)

8/3

b)

6

c)

12/3

d)

10/3

153.

∫₀¹ (3x² + 2x) dx =

a)

5/6

b)

7/6

c)

3/2

d)

1

154.

∫₀¹ e^x dx =

a)

e + 1

b)

ln(e)

c)

1

d)

e - 1

155.

Area between y = x and x-axis over [0, 1]:

a)

2

b)

1/3

c)

1

d)

1/2

156.

∫₀^a x dx =

a)

a² + 1

b)

a²/2

c)

a

d)

a²

157.

∫₁³ (x² - 1) dx =

a)

10/3

b)

4

c)

8/3

d)

6

158.

∫₁² (x - 1) dx =

a)

0

b)

2

c)

1

d)

1/2

159.

∫₁³ 2x dx =

a)

12

b)

10

c)

8

d)

6

160.

∫₀⁴ √x dx =

a)

3√2

b)

4

c)

16/3

d)

8/3

Percentages and Ratios Quiz

Total questions: 160

Worksheet time: 1hrs 20mins

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