Free Printable Grade 7 End of term 3 revision

1.

Which age group liked Action movies the least?

a)

18-25

b)

25-49

c)

50+

d)

238

2.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

3.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

4.

How many sophomores like burritos and pizza?

a)

6

b)

5

c)

11

d)

50

5.

What color car is the least popular at this car dealership?

a)

Red

b)

White

c)

Blue

d)

Green

6.

According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?

a)

About 33%

b)

About 50%

c)

About 40%

d)

About 44%

7.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

8.

What was the most popular party type?

a)

Bowling

b)

Skating

c)

Dancing

d)

Total

9.

Use the two-way frequency table to complete the relative frequency table. Find the value of variable A.

a)

27

b)

37

c)

64

d)

21

10.

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

a)

4%

b)

14%

c)

13%

d)

29%

11.

Use the two-way frequency table to complete the relative frequency table. Find the value of variable C.

a)

27

b)

37

c)

64

d)

21

12.

Use the two-way frequency table to complete the relative frequency table. Find the value of variable C.

a)

27

b)

37

c)

64

d)

21

13.

Use the two-way frequency table to complete the relative frequency table. Find the value of variable B.

a)

27

b)

37

c)

64

d)

21

14.

Use the two-way frequency table to complete the relative frequency table. Find the value of variable F.

a)

14

b)

36

c)

49

d)

51

15.

A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.

Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. What will A = ?

a)

9

b)

16

c)

22

d)

29

16.

A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.

Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. What will B = ?

a)

9

b)

16

c)

22

d)

29

17.

A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.

Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. What will C = ?

a)

51

b)

25

c)

76

d)

29

18.

A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.

Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. What will D = ?

a)

51

b)

25

c)

16

d)

22

19.

Corey asked 82 people at his school what type of fruit they prefer.

Use the information in the table to complete the two-way frequency table. What does B=

a)

25

b)

29

c)

33

d)

22

20.

Corey asked 82 people at his school what type of fruit they prefer.

Use the information in the table to complete the two-way frequency table. What does C=

a)

25

b)

29

c)

33

d)

22

21.

Corey asked 82 people at his school what type of fruit they prefer.

Use the information in the table to complete the two-way frequency table. What does D=

a)

1

b)

2

c)

4

d)

7

22.

Corey asked 82 people at his school what type of fruit they prefer.

Use the information in the table to complete the two-way frequency table. What does F=

a)

1

b)

2

c)

4

d)

7

23.

Corey asked 82 people at his school what type of fruit they prefer.

Use the information in the table to complete the two-way frequency table. What does E=

a)

25

b)

29

c)

82

d)

75

24.

Use the two-way frequency table. Do more students prefer apples or grapes?

a)

apples

b)

grapes

c)

Oranges

d)

Students

e)

Teachers

25.

How many students prefer grapes?

a)

2

b)

29

c)

22

d)

24

e)

75

26.

How many students prefer apples?

a)

2

b)

29

c)

22

d)

24

e)

75

27.

Jayne polled 50 students about their preferred after-school sport, and then recorded the data in the table. Which sport is more popular?

a)

38

b)

Soccer

c)

50

d)

Baseball

e)

8th grade

28.

How many students prefer Baseball?

a)

27

b)

29

c)

38

d)

12

e)

21

29.

How many students prefer Soccer?

a)

27

b)

29

c)

38

d)

12

e)

21

30.

What is the point of a two way frequency table?

a)

To look good

b)

To confuse the learner

c)

To organize data

d)

To make math more difficult

31.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

32.

Find the y-value using substitution.

x + 2y = 2

x = -4y + 2

a)

y = -3

b)

y = 2

c)

y = -2

d)

y = 0

33.

Solve using substitution.

y = -3x + 11

5x + y = 21

a)

(1, -5)

b)

(1, 5)

c)

(-4, 5)

d)

(5, -4)

34.

Solve using substitution.

x = -3y - 8

x - 2y = -3

a)

(5, -1)

b)

(-5, 1)

c)

(-5,-1)

d)

(1,-5)

35.

How many solutions? (click on the graph to enlarge)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

36.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

37.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

38.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

39.

Solve the following systems of equations using substitution:

x = -1

y = -4x + 4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

40.

When solving a system of equations algebraically, which statement results in no solution?

a)

4 = 7

b)

-2 = 2

c)

-3 = 3

d)

all of the above

41.

When solving a system of equations algebraically, which statement results in infinite solutions?

a)

4 = 7

b)

2 = 2

c)

-3 = 3

d)

all of the above

42.

Using Substitution, solve for the following system of linear equations: $2x-4y=8$

$x=2y+4$

a)

(6,-2)

b)

(4,-8)

c)

Infinitely many solutions

d)

No solution

43.

Using Substitution, solve for the following system of linear equations: $y=x+3$

$y=-2x-3$

a)

No solution

b)

(-3,-3)

c)

Infinitely many solutions

d)

(-2,1)

44.

Using Substitution, solve for the following system of linear equations: $x=-2y-1$

-6x=-2y+20

a)

(2,-2)

b)

(-3,1)

c)

Infinitely many solutions

d)

No solution

45.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

46.

A resulting figure after a transformation is called

a)

a pre-image

b)

rigid motion

c)

translation

d)

image

47.

A translation

a)

is a transformation that preserves distance and angle measures.

b)

is a transformation that moves or slides points the same distance and in the same direction.

c)

is a transformation that flips points across a line of reflection.

d)

is a transformation that turns points about point called a center of rotation.

48.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

49.

What is the algebraic notation of a figure is Translated 6 units right and 5 units up?

a)

(x, y) --> (x - 6, y + 5)

b)

(x, y) --> (x + 6, y + 5)

c)

(x, y) --> (x + 5, y - 6)

d)

(x, y) --> (6x, 5y)

50.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

51.

This point is translated 3 right and 2 down. Which diagram shows the new position of the point?

a)

b)

c)

d)

52.

This point is translated 4 left and 4 up. Which diagram shows the new position of the point?

a)

b)

c)

d)

53.

How would you describe the translation of the green shape to the red shape?

a)

6 up

b)

3 right, 1 up

c)

3 up

d)

3 right, 4 up

54.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

55.

What is the volume of a cylinder that has a radius of 5 and a height of 3? Put your answer in terms of pi.

a)

75

b)

$75\pi$

c)

235.5

d)

15

56.

If the volume of a cylinder is $768\pi$ and the radius is 8, what is the height?

a)

12

b)

8

c)

15

d)

3

57.

We want to fill up the cylinder pictured with water. How many inches cubed of water will fit inside it?

a)

78500 inches cubed

b)

80000 inches cubed

c)

84500 inches cubed

d)

89000 inches cubed

58.

Find the volume to the nearest tenth

a)

282.6 in³

b)

94.2 in³

c)

235.5 in³

d)

78.5 in³

59.

When finding volume, what measurement(s) do we need to plug into our formula?

a)

Height & Radius

b)

Height & Diameter

c)

Radius & Diameter

d)

Height ONLY

60.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

61.

^{_{Estimate the volume.}}

a)

163in³

b)

18in³

c)

283in³

d)

324in³

62.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

63.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

64.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

65.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

66.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r²

c)

C = 2·π·r

d)

C = d²

67.

What is the formula for finding the area of a circle?

a)

π·d

b)

2·π·r

c)

π·r²

d)

π·d

68.

The area formula for a circle A= $\pi r^2$ can also be written as....

a)

A= $2\pi r$

b)

A= $\pi\times r\times r$

c)

C= $\pi d$

69.

What is the radius of this circle?

a)

40 cm

b)

20 cm

c)

10 cm

70.

The equation $C=2\pi r$ , is used to find the circumference of a circle. Given the circumference of circle is 80 cm. Find the value of radius, r.

a)

$r=80\times2\pi$

b)

$r=\frac{80}{2\pi}$

c)

$r=\frac{2\pi}{80}$

d)

$r=80-2\pi$

71.

What is the formula for volume of a CYLINDER?

a)

V = 2π rh

b)

V = r² h

c)

V = π r² h

d)

V = 2 π r² h

72.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

73.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm2

b)

9.42 cm2

c)

unicorns are awsome

d)

45.3 cm2

74.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

75.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

76.

How do you find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

77.

How do you find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

78.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

79.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

80.

What is the formula for volume of a cylinder?

a)

V = 2πrh

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

81.

What is the formula for volume of a sphere?

a)

V = 4/3πr³

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

82.

What is the formula for volume of a cone?

a)

V = 2πrh

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

83.

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

a)

8π in³

b)

24π in³

c)

48π in³

d)

144π in³

84.

A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume?

a)

36π cm³

b)

144π cm³

c)

324π cm³

d)

16π cm³

85.

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

a)

8π in³

b)

24π in³

c)

48π in³

d)

144π in³

86.

A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?

a)

64π m³

b)

16π m³

c)

64π m²

d)

16π m²

87.

The radius is ___________ of the diameter?

a)

twice

b)

half

88.

Find the volume of the figure.

a)

150.80 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

152 cm³

89.

Find the volume to the nearest hundredth.

a)

12.57 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

90.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

320.4 in³

b)

314 in³

c)

205.5 in³

d)

267.4 in³

91.

What shape is this?

a)

Cone

b)

Sphere

c)

Cube

d)

Pyramid

92.

A cone has a volume of 150 cm³ and a radius of 4 cm. Calculate its height.

a)

2.98 cm

b)

7.82 cm

c)

3.14 cm

d)

5.67 cm

93.

What is the formula for volume of a CONE?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓ π r² h

d)

V = ⅓ L W H

94.

What is the volume formula for a sphere?

a)

V = (4 ∕ 3)πr³

b)

V = (1 ∕ 3)πr²h

c)

V = πr²h

d)

V = (1 ∕ 3)Bh

95.

$V_{total}=V_{cone}+V_{cylinder}$ V = ?

$V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$ Remember there are 2 different heights.

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

96.

Find the height of a cone that has a volume of 150.72 m³ and radius of 4 m. Round your answer to the nearest whole number. Write your answer in the box.

a)

9

b)

6

c)

7

d)

3

97.

The volume of a cone with a radius of 6 cm and a height of 10 cm is

a)

$30\pi\ cm^3$

b)

$40\pi\ cm^3$

c)

$120\pi\ cm^3$

d)

$360\pi\ cm^3$

98.

The height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?

a)

83.3π

b)

250π

c)

10

d)

5

99.

If a hemisphere has V=18π, what is the value of the radius?

a)

3

b)

13.5

c)

54

d)

108

100.

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone?

a)

$33\pi$

b)

$270\pi$

c)

$810\pi$

d)

$22\pi$

101.

Find the volume of this shape. Leave in terms of pi.

a)

484π cm3

b)

88π cm3

c)

176π cm³

d)

1937π cm³

102.

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

a)

8π in³

b)

24π in³

c)

48π in³

d)

144π in³

103.

How do we measure volume?

a)

Units Cubed

b)

Units Squared

104.

If a cone has a radius of 5 cm and a height of 12 cm, what is its volume?

a)

100 cm³

b)

200 cm³

c)

100π cm³

d)

314.16 cm³

105.

If a cone has V = 602 cm^3 and a height of 36, what is the value of the radius?

a)

4

b)

16.7

c)

50.2

d)

16

106.

The volume of a cone is 100π cm³ and the radius is 5 cm. What is the height of the cone?

a)

6 cm

b)

8 cm

c)

10 cm

d)

3 cm

107.

Find the volume of the composite solid.

a)

about 19 ft³

b)

about 24 ft³

c)

about 29 ft³

d)

about 34 ft³

108.

A cone has a height of 12 ft and a diameter of 6 ft. What is the volume of the cone?

a)

432π ft³

b)

144π ft³

c)

108π ft³

d)

36π ft³

109.

A cylinder has a height of 4 m and a diameter of 4 m. What is the volume?

a)

64π m³

b)

16π m³

c)

64π m²

d)

16π m²

110.

A cylinder has a height of 3in and a radius of 3 inches. What is the volume?

a)

9π in³

b)

27π in³

c)

81π in³

d)

3π in³

111.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 8 units to the right and 2 units down

d)

Translate 4 units down and 4 units to the left

112.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-4, -5)

c)

(4, 4)

d)

(-1, 5)

113.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 8 units to the right and 5 units down

b)

Translated 5 units to the right and 8 units down

c)

Translated 5 units to the right and 5 units down

d)

Translated 6 units to the right and 5 units down

114.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right 2, down 9

b)

left 2, up 9

c)

left 2, down 5

d)

left 3, down 5

115.

How would you describe the translation of the green shape to the red shape?

a)

Left 3, down 3

b)

Left 3, down 1

c)

Left 1, down 2

d)

Right 3, down 3

116.

How would you describe the translation of the green shape to the red shape?

a)

2 down

b)

2 up, 1 left

c)

2 up

d)

2 down, 1 right

117.

a)

Left 5, Up 4

b)

Left 5, Up 2

c)

Right 5, Down 4

d)

Right 2, Down 4

118.

a)

Left 5, Down 2

b)

Right 5, Up 2

c)

Right 2, Up 2

d)

Left 6, Up 4

119.

a)

Right 1, Down 6

b)

Left 1, Up 7

c)

Right 1, Down 9

d)

Right 1, Down 7

120.

a)

Left 4, Down 4

b)

Left 1, Down 2

c)

Right 4, Up 4

d)

Left 4, Down 2

121.

a)

b)

c)

d)

122.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y - 7)

d)

(x, y) --> (7x, 4y)

123.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y + 7)

d)

(x, y) --> (4x, 7y)

124.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 5, y + 4)

b)

(x, y) --> (x + 5, y - 4)

c)

(x, y) --> (x + 4, y + 5)

d)

(x, y) --> (5x, 4y)

125.

Which graph shows the pre-image reflected over y-axis?

a)

b)

c)

d)

126.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

127.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

128.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

129.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

130.

Which rule correctly describes this translation?

a)

(x - 6, y + 2)

b)

(x - 2, y + 6)

c)

(x + 2, y - 6)

d)

(x + 6, y - 2)

131.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

132.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

133.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

134.

Reflections are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

135.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

136.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

137.

State the line of reflection

a)

x = - 2

b)

y axis

c)

y = 2

d)

y = - 2

e)

x = 2

138.

Triangle XYZ is reflected across the x-axis, and X = (-11,8). What are the coordinates of X'?

a)

(11,-8)

b)

(-8,11)

c)

(11,8)

d)

(-11,-8)

139.

Triangle PQR is reflected across a line, P = (4,-5), and P' = (-4,-5). What is the line of reflection?

a)

the x-axis

b)

the y-axis

c)

the line y = x

d)

the line y = -x

140.

Which point shows a reflection of point Y(-5, -7) over the y-axis?

a)

(5, -7)

b)

(-5, -7)

c)

(5, 7)

d)

(5, 7)

Grade 7 End of term 3 revision

Total questions: 140

Worksheet time: 7hrs 19mins

Similar Resources on Wayground