Free Printable Year 8 Mathematics Challenge

1.

What is the sum of -7 and 5?

a)

-2

b)

-1

c)

-3

d)

0

2.

Evaluate the expression 3x + 4 when x = 2.

a)

6

b)

12

c)

10

d)

8

3.

Solve for x: 2x + 3 = 11.

a)

2

b)

3

c)

5

d)

4

4.

What is 4.56 rounded to the nearest whole number?

a)

4.5

b)

5

c)

6

d)

4

5.

Measure the angle of a triangle that has angles of 60° and 70°. What is the third angle?

a)

80°

b)

50°

c)

30°

d)

40°

6.

Collect data on the number of books read by students in a month. If 5 students read 3, 4, 2, 5, and 6 books, what is the average?

a)

5

b)

3

c)

6

d)

4

7.

What is the difference between -10 and -4?

a)

-4

b)

-8

c)

-2

d)

-6

8.

Evaluate the expression 5y - 2 when y = 3.

a)

11

b)

13

c)

15

d)

9

9.

Solve for x: 5x - 7 = 18.

a)

3

b)

-1

c)

5

d)

10

10.

Round 3.14159 to two decimal places.

a)

3.15

b)

3.1

c)

3.141

d)

3.14

11.

If a straight line measures 180°, what is the measure of a right angle?

a)

90°

b)

45°

c)

60°

d)

120°

12.

If you collect data on the heights of 5 students: 150 cm, 160 cm, 155 cm, 165 cm, and 158 cm, what is the median height?

a)

158 cm

b)

160 cm

c)

155 cm

d)

165 cm

13.

What is the product of -3 and 4?

a)

12

b)

-7

c)

-12

d)

-10

14.

Evaluate the expression 2a + 3b when a = 1 and b = 2.

a)

8

b)

5

c)

6

d)

10

15.

Solve for x: 3(x - 2) = 12.

a)

8

b)

10

c)

4

d)

6

16.

What is 7.89 rounded to the nearest tenth?

a)

7.5

b)

8.0

c)

7.9

d)

7.8

17.

If an angle measures 45°, what is its complement?

a)

60°

b)

45°

c)

30°

d)

90°

18.

If you survey 10 people and find that 6 prefer chocolate ice cream, what percentage prefer chocolate?

a)

80%

b)

50%

c)

70%

d)

60%

19.

What is the sum of 12 and -8?

a)

5

b)

4

c)

-4

d)

2

20.

Evaluate the expression 4m - 5 when m = 3.

a)

7

b)

10

c)

2

d)

-5

21.

12 1/2 ÷ 4 1/4

a)

8/425

b)

3 1/4

c)

50/17 = 2 16/17

d)

17/50

22.

36 ÷ 6 3/4

a)

1/243

b)

243

c)

3/16

d)

16/3 = 5 1/3

23.

7 1/6 - 2 5/6

a)

5 4/6 = 5 2/3

b)

5 2/6 = 5 1/3

c)

4 2/6 = 4 1/3

d)

4 4/6 = 4 2/3

24.

7 1/6 - 2 5/6

a)

5 4/6 = 5 2/3

b)

5 2/6 = 5 1/3

c)

4 2/6 = 4 1/3

d)

4 4/6 = 4 2/3

25.

3 5/8 + 2 3/4

a)

5 11/8 = 6 3/8

b)

5 8/12 = 5 2/3

c)

5 8/8 = 6

d)

5 3/8

26.

Order Least to Greatest

1/2, 1/6, 3/10

a)

1/2, 1/6, 3/10

b)

3/10, 1/2, 1/6

c)

1/6, 3/10, 1/2

27.

$-3+8$

a)

$5$

b)

$-5$

c)

$11$

d)

$-11$

28.

$-4+\left(-5\right)$

a)

$-9$

b)

$9$

c)

$1$

d)

$-1$

29.

$6+\left(-9\right)$

a)

$3$

b)

$-3$

c)

$15$

d)

$-15$

30.

$12+\left(-7\right)$

a)

$5$

b)

$-5$

c)

$19$

d)

$-19$

31.

$-9-7$

a)

$-16$

b)

$16$

c)

$2$

d)

$-2$

32.

$15-\left(-3\right)$

a)

$18$

b)

$-18$

c)

$12$

d)

$-12$

33.

$-19-\left(-4\right)$

a)

$-15$

b)

$15$

c)

$23$

d)

$-23$

34.

$32-\left(-17\right)$

a)

$49$

b)

$-49$

c)

$15$

d)

$-15$

35.

$-3\left(6\right)$

a)

$18$

b)

$-18$

c)

$9$

d)

$-9$

36.

$-4\left(-5\right)$

a)

$20$

b)

$-20$

c)

$9$

d)

$-9$

37.

$\frac{60}{-12}$

a)

$5$

b)

$-5$

c)

$4$

d)

$-4$

38.

$16\left(-2\right)$

a)

$-32$

b)

$32$

c)

$18$

d)

$-18$

39.

$\frac{-75}{-3}$

a)

$25$

b)

$-25$

c)

$20$

d)

$-20$

40.

$\frac{-18}{3}$

a)

$6$

b)

$-6$

c)

$7$

d)

$-7$

41.

$8-12$

a)

$4$

b)

$-4$

c)

$20$

d)

$-20$

42.

$-2\left(-10\right)$

a)

$20$

b)

$-20$

c)

$12$

d)

$-12$

43.

What is the opposite of 10?

a)

10

b)

-10

c)

0

d)

20

44.

Every Friday for 8 weeks Kylan withdrew $35 from his savings account. How much did he withdraw in all?

a)

-280

b)

280

c)

27

d)

-27

45.

-15 - 3

a)

12

b)

-12

c)

-18

d)

18

46.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

47.

(- 9) + 7

a)

-2

b)

2

c)

16

d)

-16

48.

7 + (-14)

a)

7

b)

21

c)

-21

d)

-7

49.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

50.

What is 16- (-9) ?

a)

-7

b)

11

c)

15

d)

25

51.

-9 + (-5)

a)

-14

b)

14

c)

-4

52.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

53.

-15 + 5 + (-12) =

a)

-22

b)

22

c)

32

d)

-32

54.

Theo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change to his account?

a)

$29

b)

$25

c)

$24

d)

$30

55.

The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in. What is the current temperature?

a)

14

b)

34

c)

-14

d)

-34

56.

(-1) - (-2) =

a)

3

b)

1

c)

-3

d)

-1

57.

Solve the problem.
-16 - 4

a)

-20

b)

-12

c)

20

d)

12

58.

A car backs up 23 feet, followed by 9 more feet. The car's position can be represented by the expression -23 + (-9). What is the sum?

a)

-32

b)

32

c)

14

d)

-14

59.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

60.

What are the rules for subtracting integers?

a)

Change to multiplication and use the opposite of the second number.

b)

Change subtraction sign to addition and use the opposite of the second number.

c)

Find the opposite of both numbers and then add.

d)

Subtract like normal and keep the larger sign.

61.

A car backs up 23 feet, followed by 9 more feet. The car's position can be represented by the expression -23 + (-9). What is the sum?

a)

-32

b)

32

c)

14

d)

-14

62.

Which addition expression is equivalent to 7 - (-3)?

a)

-3 + 7

b)

-7 + 3

c)

7 + 3

d)

3 + (-7)

63.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

64.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

65.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

66.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

67.

-12 ÷ 3

a)

-4

b)

9

c)

4

d)

-9

68.

-3 x -8

a)

28

b)

11

c)

24

d)

-24

69.

If you are adding 2 negative numbers, will your answer be positive or negative?

a)

negative

b)

positive

70.

What is the product a positive integer and negative integer?

a)

Negative

b)

Positive

71.

Negative numbers are

a)

less than zero

b)

greater than zero

72.

The temperature in Town A is -10 degrees Fahrenheit and temperature in Town B is -25 degrees Fahrenheit. Is it colder in Town A or Town B ?

a)

Town A

b)

Town B

73.

-5 + 9 =

a)

4

b)

-4

c)

14

d)

-14

74.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

75.

12 and -12 are example of ....

a)

opposites

b)

even numbers

c)

negative numbers

d)

absolute values

76.

Is absolute value always positive?

a)

yes

b)

no

77.

Which of the following is not an integer?

a)

-9

b)

0

c)

8.2

d)

563

78.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

79.

-3 x -4=

a)

-12

b)

7

c)

-7

d)

12

80.

Which statement describes the shaded fraction?

a)

two halves

b)

two thirds

c)

one fourth

d)

three fourths

81.

Look at the model. Which statement does NOT describe the shaded fraction?

a)

four eighths

b)

one half

c)

eight fourths

d)

4/8

82.

Find the missing numerator:

2/3 = ?/9

a)

1/9

b)

4/9

c)

6/9

d)

7/9

83.

a)

1

b)

3

c)

9

d)

8

84.

Are the fractions equivalent?

a)

Yes

b)

No

85.

Which fraction is equivalent to 1?

a)

1/2

b)

1/10

c)

5/5

d)

5/1

86.

2/3 ___ 8/10

a)

>

b)

<

c)

=

87.

5/9 ___ 2/6

a)

>

b)

<

c)

=

88.

Which list below shows the fractions in order from least to greatest?

a)

5/8 < 1/5 < 2/3

b)

1/5 < 5/8 < 2/3

c)

2/3 < 1/5 < 5/8

d)

1/5 < 2/3 < 5/8

89.

Sam ran 3/4 of a mile, Jack ran 1/2 of a mile and Tom ran 2/3 of a mile. Who ran the furthest?

a)

They all ran the same distance

b)

Tom

c)

Sam

d)

Jack

90.

Least to Greatest

5/12, 12/12, 1/12

a)

5/12, 12/12, 1/12

b)

1/12, 5/12, 12/12

c)

12/12, 1/12, 5/12

91.

Greatest to Least

5/6, 3/8, 2/3

a)

5/6, 3/8, 2/3

b)

2/3, 3/8, 5/6

c)

5/6, 2/3, 3/8

92.

Order Greatest to Least

2/3, 3/4, 3/6

a)

2/3, 3/4, 3/6

b)

3/4, 2/3, 3/6

c)

3/6, 3/4, 2/3

93.

Order Greatest to Least

2/6, 1/2, 2/3

a)

2/6, 1/2, 2/3

b)

2/3, 1/2, 2/6

c)

2/3, 1/2, 2/6

94.

Order Least to Greatest

1/2, 1/6, 3/10

a)

1/2, 1/6, 3/10

b)

3/10, 1/2, 1/6

c)

1/6, 3/10, 1/2

95.

Order from least to greatest
5/6, 3/6, 4/6

a)

3/6, 5/6, 4/6

b)

3/6, 4/6, 5/6

c)

4/6, 3/6, 5/6

96.

Which fraction is larger?

2/3 or 9/12

a)

2/3

b)

9/12

97.

Put these fractions in order from least to greatest:
1/4, 1/6, 1/2

a)

1/2, 1/4, 1/6

b)

1/6, 1/2, 1/4

c)

1/6, 1/4, 1/2

d)

1/4, 1/6, 1/2

98.

2/3 __ 4/6

a)

<

b)

>

c)

=

99.

3/6 __ 5/10

a)

<

b)

>

c)

=

100.

What is the reciprocal of 2/5

a)

5/2

b)

4/10

c)

5

d)

2

101.

What is the reciprocal of 1/3

a)

2/6

b)

3/2

c)

3

d)

1

102.

What do I get when I multiply a number by its reciprocal?

a)

the original number

b)

the reciprocal

c)

0

d)

1

103.

Solve: 1/3 ÷ 1/2

a)

1/6

b)

2/3

c)

3/2

d)

6

104.

Solve: 2 ÷ 2/4

a)

1/4

b)

1

c)

2

d)

4

105.

Solve: 1/7 ÷ 5

a)

11

b)

1/35

c)

1/11

d)

5/7

106.

Identify the operation you would use to solve:

Jason is baking cookies for a party. He has a recipe that calls for 2/3 cups flour. If he needs to triple the recipe, how much flour does the recipe require?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

107.

What operation would I use to solve?

Last night, Fiona studied for 1 1/2 hours for her math unit test. If she is planning on studying for another 3/4 of an hour tonight, how much will she study in total for her test?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

108.

What operation would I use to solve?

Marc is decorating for the holidays by placing ribbon along his stair railing. If the railing is 8m long and each ribbon is 3/4 m long, how many ribbons does Marc need to buy to fully cover the railing?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

109.

What operation would I use to solve?

Jamal and Katie are training for a marathon by running every day. If Jamal ran 3 2/3 km on Thursday and Katie ran 4 5/6 km, how much farther did Katie run than Jamal?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

110.

Multiply Decimals

*2 decimal places

*100th place

3 x 0.02 =

a)

6

b)

0.6

c)

0.06

d)

0.006

111.

Multiply Decimals

*1 decimal place.

*tenths place.

3 x 0.3 =

a)

9

b)

0.9

c)

0.09

d)

0.009

112.

Multiply Decimals

*2 decimal places.

*hundredths place.

3 x 0.03 =

a)

9

b)

0.9

c)

0.09

d)

0.009

113.

Multiply Decimals

2 x 0.4 =

a)

8

b)

0.8

c)

0.08

d)

0.008

114.

Multiply Decimals

2 x 0.04 =

a)

8

b)

0.8

c)

0.08

d)

0.008

115.

Multiply Decimals

5 x 0.3 =

a)

15

b)

1.5

c)

0.15

d)

0.015

116.

Multiply Decimals

5 x 0.03 =

a)

15

b)

1.5

c)

0.15

d)

0.015

117.

Convert fraction to a decimal

³/₈

(a)

118.

Convert fraction to a decimal

¹/₂

(a)

119.

Convert fraction to a decimal

¹/₄

(a)

120.

Convert fraction to a decimal

⁹/₁₀

(a)

121.

Convert fraction to a decimal

³/₅

(a)

122.

Convert fraction to a decimal

¹⁸/₁₀₀

(a)

123.

Convert fraction to a decimal

⁶/₁₅

(a)

124.

Convert fraction to a decimal

³/₈

(a)

125.

Convert fraction to a decimal

¹/₂

(a)

126.

Convert fraction to a decimal

⁶/₁₅

(a)

127.

Convert fraction to a decimal

¹/₄

(a)

128.

Convert fraction to a decimal

⁹/₁₀

(a)

129.

Convert fraction to a decimal

³/₅

(a)

130.

Convert fraction to a decimal

¹⁸/₁₀₀

(a)

131.

$\frac{2}{10}=?$

a)

2.0

b)

0.2

c)

0.02

d)

2.2

132.

Represent 8.284 in expanded form

a)

8 + 2 + 8 + 4

b)

8 + 0.2 + 0.08 + 0.004

c)

8 + 200 + 80 + 4

d)

8000+ 0.2 + 0.08 + 0.004

133.

Express the following as a decimal:

4 thousandths = $\frac{4}{1000}$ = ____________

a)

0.04

b)

0.004

c)

4000

134.

The shaded model represents the decimal-

a)

0.08

b)

0.8

c)

0.92

d)

8

135.

Multiply Decimals

2 x 0.4 =

a)

8

b)

0.8

c)

0.08

d)

0.008

136.

Multiply Decimals

5 x 0.3 =

a)

15

b)

1.5

c)

0.15

d)

0.015

137.

Write the fraction as a decimal

⁹/₁₀

(a)

138.

Write the fraction as a decimal

⁵/₄

(a)

139.

Write the decimal as a mixed number

in simplest form

4.45

(a)

140.

Write as a Decimal

²/₃

a)

0.23

b)

0.2

c)

0.3

d)

0.6̅

141.

Write the fraction as a decimal 1¹/₂

(a)

142.

Write the fraction as a decimal

¹/₁₁

a)

0.0̅9

b)

0.11

c)

0.111

d)

1.11

143.

Two angles of a triangle are 55° and 70°

Work out the third angle

(a)

144.

What is the name of the type of triangle you found in question 1? Choose the correct word

a)

equilateral

b)

isosceles

c)

right-angled

d)

perpendicular

145.

Work out the size of angle D.

(a)

146.

Work out the value of x

(a)

147.

There are two parallel lines in this diagram.

One of the angles is 76°.

Write in the value of angle A

(a)

148.

Name one other angle which is the same as angle A

(a)

149.

There are two parallel lines in this diagram.

One of the angles is 76°

Work out the size of angle C

(a)

150.

Name one other angle which is the same as angle C

(a)

151.

What does angles C and D add up to?

(a)

152.

What type of angles are B and F

a)

corresponding angles

b)

alternate angles

c)

vertically opposite angles

d)

Co-interior angles

153.

What type of angles are B and D

a)

corresponding angles

b)

alternate angles

c)

vertically opposite angles

d)

Co-interior angles

154.

What type of angles are B and E

a)

corresponding angles

b)

alternate angles

c)

vertically opposite angles

d)

Co-interior angles

155.

What angle corresponds to $\angle7$ ?

a)

$\angle8$

b)

$\angle2$

c)

$\angle6$

d)

$\angle3$

156.

What angle is vertical to $\angle5$ ?

a)

$\angle6$

b)

$\angle2$

c)

$\angle3$

d)

$\angle8$

157.

What is the relationship between angle 1 and 2?

a)

Right Angle

b)

Supplementary Angles

c)

Complementary Angles

d)

None

158.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary, 15

b)

Complementary, 18

c)

Supplementary, 16

d)

Supplementary, 19

159.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Supplementary; x=25

c)

Complementary; x=5

d)

Supplementary; x=5

160.

Solve for angle 3

a)

$55\degree$

b)

$125\degree$

c)

$45\degree$

d)

$0\degree$

161.

The angle relationship shown is

a)

Complementary Angles

b)

Adjacent Angles

c)

Supplementary Angles

d)

Vertical Angles

162.

Find the value of x.

a)

38°

b)

52°

c)

142°

d)

152°

163.

n m∠4 =If m∠6 = 50 then m∠4 =

a)

$50\degree$

b)

$90\degree$

c)

$130\degree$

d)

$360\degree$

164.

In a triangle, how many total degrees are there?

a)

90

b)

180

c)

360

d)

45

165.

Find the measure of the indicated angle.

a)

95

b)

35

c)

45

d)

85

166.

Find the missing angle.

a)

75

b)

100

c)

105

d)

70

167.

Acute angle - an angle that is ______ a 90 degree angle.

a)

more than

b)

equal

c)

less than

d)

None

168.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that are opposite of each other

c)

Angles that add up to 180°

d)

Angles that add up to 90°

169.

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

a)

135

b)

125

c)

45

d)

90

170.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

171.

Name the Triangle

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

None

172.

Which pair of angles is an example of alternate exterior angles?

a)

∠1 and ∠8

b)

∠3 and ∠7

c)

∠2 and ∠5

d)

∠4 and ∠5

173.

Which of the following could be angle measures for a triangle?

a)

120°, 50°, 20°

b)

100°, 200°, 60°

c)

30°, 50°, 80°

d)

40°, 50°, 90°

Year 8 Mathematics Challenge

Total questions: 173

Worksheet time: 6hrs 51mins

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