Free Printable Geometry and Basic Maths Operations

1.

Find the measurement of the missing angle

a)

127

b)

99

c)

180

d)

102

2.

Find the measurement of the missing angle

a)

54

b)

89

c)

90

d)

62

3.

Find the measurement of the missing angle

a)

52

b)

54

c)

56

d)

58

4.

Find the measurement of the missing angle

a)

41

b)

43

c)

45

d)

47

5.

Find the measurement of the missing angle

a)

44

b)

43

c)

42

d)

41

6.

Find the measurement of the missing angle

a)

35

b)

37

c)

34

d)

36

7.

Find the measurement of the missing angle

a)

30

b)

29

c)

27

d)

28

8.

Find the measurement of the missing angle

a)

24

b)

25

c)

26

d)

27

9.

Find the measurement of <B

a)

90

b)

49

c)

51

d)

89

10.

Find the measurement of the missing angle

a)

69

b)

79

c)

89

d)

59

11.

Find the measurement of the missing angle

a)

51

b)

61

c)

41

d)

31

12.

Find the measurement of the missing angle

a)

74

b)

75

c)

76

d)

77

13.

Find the measurement of the missing angle

a)

46

b)

76

c)

36

d)

66

14.

Find the measurement of the missing angle

a)

32

b)

33

c)

34

d)

35

15.

Find the measurement of the missing angle

a)

142

b)

138

c)

163

d)

124

16.

Find the measurement of the missing angle

a)

127

b)

99

c)

180

d)

102

17.

Find the measurement of the missing angle

a)

54

b)

89

c)

90

d)

62

18.

Find the measurement of the missing angle

a)

52

b)

54

c)

56

d)

58

19.

Find the measurement of the missing angle

a)

41

b)

43

c)

45

d)

47

20.

Find the measurement of the missing angle

a)

44

b)

43

c)

42

d)

41

21.

Find the measurement of the missing angle

a)

35

b)

37

c)

34

d)

36

22.

Find the measurement of the missing angle

a)

30

b)

29

c)

27

d)

28

23.

Find the measurement of the missing angle

a)

24

b)

25

c)

26

d)

27

24.

Find the measurement of <B

a)

90

b)

49

c)

51

d)

89

25.

Find the measurement of the missing angle

a)

69

b)

79

c)

89

d)

59

26.

Find the measurement of the missing angle

a)

51

b)

61

c)

41

d)

31

27.

Find the measurement of the missing angle

a)

74

b)

75

c)

76

d)

77

28.

Find the measurement of the missing angle

a)

46

b)

76

c)

36

d)

66

29.

Find the measurement of the missing angle

a)

32

b)

33

c)

34

d)

35

30.

Find the measurement of the missing angle

a)

142

b)

138

c)

163

d)

124

31.

If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

a)

180 degrees

b)

90 degrees

c)

50 degrees

d)

60 degrees

32.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

33.

Angles that are exactly 90 degrees are called _____ ______.

a)

tight angles

b)

acute angles

c)

obtuse angles

d)

right angles

34.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

35.

Find the missing angle.

a)

151

b)

147

c)

118

d)

62

36.

How many obtuse angles are in an obtuse triangle?

a)

1

b)

2

c)

3

d)

4

37.

How many equal sides does an equilateral have?

a)

1

b)

2

c)

3

d)

4

38.

Classify this triangle by its angles

a)

Acute

b)

Equiangular

c)

Obtuse

d)

Right

39.

Classify this triangle by its angles

a)

Acute

b)

Equiangular

c)

Obtuse

d)

Right

40.

Classify this triangle by its angles

a)

Acute

b)

Equiangular

c)

Obtuse

d)

Right

41.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

42.

Angles that are exactly 90 degrees are called _____ ______.

a)

tight angles

b)

acute angles

c)

obtuse angles

d)

right angles

43.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

44.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

45.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

46.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

47.

A triangle has one angle that measure 45° and one that measures 60°. What is the measure of the third angle?

a)

135°

b)

75°

c)

120°

d)

105°

48.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

49.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

50.

Find the measure of each angle indicated.

a)

88

b)

30

c)

110

d)

85

51.

Find the measure of the indicated angle.

a)

145

b)

113

c)

102

d)

78

52.

Solve for x.

a)

7

b)

9

c)

-11

d)

-6

53.

Find the measure of the indicated angle.

a)

87 degrees

b)

82 degrees

c)

83 degrees

d)

72 degrees

54.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

55.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

56.

A circular disc is cut from a piece of square plastic. How much plastic is left over? The side length of the piece of plastic is 15 inches.

a)

47.1 in.²

b)

48.37 in.²

c)

225 in²

d)

176.37in.²

57.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

28.26 m²

58.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.

a)

4 in.

b)

8 in.

c)

12 in.

d)

16 in.

59.

A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?

a)

314 in²

b)

31.4 in²

c)

7.85 in²

d)

78.5 in²

60.

what is the area of this semicircle ?

a)

100.48cm²

b)

80cm²

c)

200.96cm²

d)

none of the above

61.

What is the area of this circle?

a)

8322.13 cm²

b)

1133.54 cm²

c)

4536.46 cm²

d)

1267.09 cm²

62.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

63.

What is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

64.

Find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

65.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.04

66.

What is the area of this circle?

a)

201.06

b)

50.24

c)

123.12

d)

94.43

67.

What is the area of this circle?

a)

82.13

b)

78.5

c)

314.16

d)

170.12

68.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

19.81 cm²

d)

28.26 cm²

69.

What is the diameter of this circle?

a)

3.5

b)

3

c)

5

d)

7

70.

What is the area of this circle?
d = 8cm

a)

16π

b)

8π

c)

4π

d)

36π

71.

What is the radius of this circle?

a)

12cm

b)

6cm

c)

24cm

d)

3cm

72.

What is/are the formula(s) to find the area of a circle?

a)

πr²

b)

2πr

c)

√π

73.

What does area mean?

a)

the distance around a shape

b)

half the distance around a shape

c)

the amount of space outside a shape

d)

the amount of space inside a shape

74.

Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?

a)

31.4 in²

b)

314 in²

c)

157 in²

d)

628 in²

75.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

76.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

77.

Find the volume of the figure.

a)

4 mm³

b)

40 mm³

c)

14 mm³

d)

80 mm³

78.

Find the total surface area of the solid.

a)

108 mm²

b)

54 mm²

c)

88 mm²

d)

28 mm²

79.

At most how many cubes of 1 mm³ can be placed in this box?

a)

40

b)

4

c)

400

d)

0

80.

At most how many cubes of 8 mm³ can be placed in this box without breaking any cube?

a)

40

b)

5

c)

4

d)

0

81.

Find the volume of the figure.

a)

102 cm³

b)

432 cm³

c)

216 cm³

d)

192 cm³

82.

Find the total surface area of this cuboid.

a)

123 cm²

b)

102 cm²

c)

216 cm²

d)

246 cm²

83.

I have some 3 cm x 3 cm x 3 cm cubes. At most how many of these cubes can be placed in this box without breaking any cubes?

a)

8

b)

6

c)

10

d)

12

84.

These two cuboids have the same volume. Find the value of x.

Answer: (a) (fill in the blank with only a number)

85.

Find the volume of the figure. Fill in the blank with a number only.

Answer: (a) cm³

86.

A cuboid container with a base area of 450 cm² is filled with water to the height of 10 cm. Given that the height of the container is 25 cm, how much water should be added to it to fill it completely? Give your answer in liters.

Answer: (a) liters (fill in a blank with a number)

87.

What is the volume of the cube?

a)

$10\ cm^3$

b)

$15\ cm^3$

c)

$25\ cm^3$

d)

$125\ cm^3$

88.

What is the volume of the cuboid?

a)

$344\ m^3$

b)

$360\ m^3$

c)

$378\ m^3$

d)

$420\ m^3$

89.

What is the volume of the cube?

a)

$27\ m^3$

b)

$36\ m^3$

c)

$721\ m^3$

d)

$729\ m^3$

90.

What is the volume of the cuboid?

a)

$300\ cm^3$

b)

$500\ cm^3$

c)

$600\ cm^3$

d)

$1,000\ cm^3$

91.

What is the volume of the cuboid?

a)

$144\ cm^3$

b)

$288\ cm^3$

c)

$312\ cm^3$

d)

$432\ cm^3$

92.

What is the volume of a cube of length 4cm?

a)

$64\ cm^3$

b)

$48\ cm^3$

c)

$16\ cm^3$

d)

$12\ cm^3$

93.

What is volume of the cuboid?

a)

$1,463\ m^3$

b)

$1,386\ m^3$

c)

$1,330\ m^3$

d)

$838\ m^3$

94.

Which the 3D shape that the formula is length × width × height for its volume?

a)

Cube

b)

Cuboid

95.

There are 2 cubes in which a cube volume was 216cm³. Find two cubes volume.

a)

$216\ cm^3$

b)

$432\ cm^3$

c)

$864\ cm^3$

d)

$1,728\ cm^3$

96.

The 3D shape is made up of centimetre cubes. What is its volume?

a)

8\ cm^3

b)

$9\ cm^3$

c)

$18\ cm^3$

d)

$36\ cm^3$

97.

Work out the volume of the cuboid

a)

30\ m^3

b)

$10\ m^3$

c)

$25\ m^3$

d)

$60\ m^3$

98.

What is the name of the 3D figure given?

a)

square

b)

box

c)

cube

d)

cuboid

99.

Which the 3D shape that the formula is side x side x side or edge x edge x edge for its volume?

a)

Cube

b)

Cuboid

100.

Which is the WRONG units for volume?

a)

$cm^2$

b)

$m^3$

c)

$mm^3$

d)

$units^3$

101.

Find the volume of the figure given.

a)

$7\ cm^3$

b)

$17\ cm^3$

c)

$9\ cm^3$

d)

$6\ cm^3$

102.

____ can be defined as how much a container can hold.

a)

Capacity.

b)

Volume.

c)

Length.

103.

What is the volume of a cuboid of 10cm length,8cm breadth and 6cm height?

a)

24cm cube.

b)

420cm cube.

c)

480cm cube.

104.

Add the following capacity

35litres + 23litres =. ______

a)

58litres

b)

68litres.

c)

48litres.

105.

_____ are where two or more edges meet.

a)

Vertex.

b)

Faces.

c)

Edges.

106.

Subtract 45litres from 97litres

a)

42 litres.

b)

52litres.

c)

62litres.

107.

Polygon with seven sides is called ____

a)

Nonagon.

b)

Heptagon.

c)

Hexagon.

108.

Express 12 1/2% as a fraction.

a)

1/4

b)

1/2

c)

1/8

109.

Sum of angles in a decagon is ____

a)

1540 degree.

b)

1340 degree.

c)

1440 degree.

110.

A triangle with no sides that are equal is _____

a)

Scalene triangle.

b)

Equilateral triangle.

c)

Isosceles triangle.

111.

Find the median of the following data : 4,12,5,15,10,8

a)

7.

b)

8.

c)

9.

112.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

113.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

114.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

115.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

116.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

117.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

118.

Solve the equation:

0 = 4h

a)

h = 4

b)

h = 1

c)

h = -4

d)

h = 0

119.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

120.

Solve for x.

-3+x=7

a)

$x=6$

b)

$x=-4$

c)

$x=4$

d)

$x=10$

121.

Solve for x

\frac{x}{3}=4

a)

$x=7$

b)

$x=-5$

c)

$x=1$

d)

$x=12$

122.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

123.

What would be the best first step to solving the equation?
-18=m+12

a)

add 18 to both sides

b)

subtract 18 from both sides

c)

add 12 to both sides

d)

subtract 12 from both sides

124.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 11

b)

multiply both sides by ¹/₂

c)

divide both sides by 2

d)

multiply both sides by 2

125.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

126.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

127.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

128.

S + 4 = 24

a)

S = 28

b)

S = 6

c)

S = 18

d)

S = 20

129.

$\frac{x}{5}=20$

a)

100

b)

120

c)

4

d)

5

130.

Which choice models this situation?

Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

131.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

132.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

133.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

134.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

135.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

136.

What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

137.

Solve for x:

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

138.

Which is greater?
1/2 or 1/3

a)

1/2

b)

1/3

139.

Which fraction is greater?
1/3 or 2/3

a)

2/3

b)

1/3

140.

Which fraction is less?
6/11 or 6/8

a)

6/11

b)

6/8

141.

Which fraction is less?
7/8 or 1/3

a)

1/3

b)

7/8

142.

Place the correct symbol in the space provided:
1/2 ____ 1/8

a)

>

b)

<

c)

=

143.

Compare 3/4 and 6/7

a)

3/4 > 6/7

b)

3/4 < 6/7

c)

3/4 = 6/7

144.

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

145.

Put these fractions in descending order :

2/3, 5/6, 7/12

a)

2/3, 7/12, 5/6

b)

7/12, 5/6, 2/3

c)

5/6, 2/3, 7/12

d)

7/12, 2/3, 5/6

146.

Put these fractions in ascending order.

3/5, 4/10, 1/2

a)

3/5, 1/2, 4/10

b)

1/2, 3/5, 4/10

c)

4/10, 3/5, 1/2

d)

3/5, 4/10, 1/2

147.

Name a fraction that is equivalent to 8/10

a)

5/6

b)

2/3

c)

4/5

d)

3/4

148.

Are the fractions equivalent?

a)

Yes

b)

No

149.

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

150.

$\frac{1}{8}\ \ \frac{1}{2}\ \ \frac{1}{5}$

Arrange the following fractions in descending order.

a)

$\frac{1}{2}\ \ \frac{1}{5}\ \ \frac{1}{8}$

b)

$\frac{1}{8}\ \ \frac{1}{5}\ \ \frac{1}{2}$

151.

Put in ascending order

4/5, 5/8, 3/4,

a)

3/4, 5/8, 4/5,

b)

4/5, 5/8, 3/4

c)

5/8, 3/4, 4/5

152.

Order Least to Greatest

6/12, 3/4, 1/3

a)

6/12, 1/3, 3/4

b)

1/3, 6/12, 3/4

c)

6/12, 3/4, 1/3

153.

$\frac{1}{2},\frac{1}{4},\frac{3}{4}$

Which of the given options shows the given numbers in ascending order?

a)

$\frac{1}{4},\ \frac{3}{4},\frac{1}{2}$

b)

$\frac{1}{2},\frac{3}{4},\frac{1}{4}$

c)

$\frac{1}{4},\frac{1}{2},\ \frac{3}{4}$

d)

$\frac{3}{4},\frac{1}{2},\frac{1}{4}$

154.

$\frac{3}{5},\ \frac{3}{7},\ \frac{9}{25}$

Which of the given options shows the given numbers in descending order?

a)

$\frac{3}{5},\ \frac{3}{7},\ \frac{9}{25}$

b)

$\frac{9}{25},\ \frac{3}{5},\ \frac{3}{7}$

c)

$\frac{9}{25},\ \frac{3}{7},\ \frac{3}{5}$

d)

$\frac{3}{7},\ \frac{9}{25},\ \frac{3}{5}$

155.

$\frac{1}{3},\ \frac{6}{9},\ \frac{9}{18}$

Which of the given options shows the given numbers in ascending order?

a)

$\frac{6}{9},\ \frac{1}{3},\ \frac{9}{18}$

b)

$\frac{6}{9},\ \frac{1}{3},\ \frac{9}{18}$

c)

$\frac{1}{3},\ \frac{9}{18},\ \frac{6}{9}$

d)

$\frac{6}{9},\ \frac{9}{18},\ \frac{1}{3}$

156.

$\frac{3}{4},\ \frac{9}{25},\ \frac{5}{20}$

Which of the given options shows the given numbers in ascending order?

a)

$\frac{9}{25},\ \frac{3}{4},\ \frac{5}{20}$

b)

$\frac{3}{4},\ \frac{5}{20},\ \frac{9}{25}$

c)

$\frac{3}{4},\ \frac{9}{25},\ \frac{5}{20}$

d)

$\frac{5}{20},\ \frac{9}{25},\ \frac{3}{4}$

157.

$\frac{2}{15},\ \frac{3}{18},\ \frac{9}{10}$
Which of the given options shows the given numbers in ascending order?

a)

$\frac{2}{15},\ \frac{3}{18},\ \frac{9}{10}$

b)

$\frac{2}{15},\ \frac{9}{10},\ \frac{3}{18}$

c)

$\ \frac{3}{18},\ \frac{2}{15},\ \frac{9}{10}$

d)

$\ \frac{3}{18},\ \frac{9}{10},\ \frac{2}{15}$

Geometry and Basic Maths Operations

Total questions: 157

Worksheet time: 5hrs 0mins

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