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WAFU

Total questions: 131

Worksheet time: 4hrs 16mins

Name
Class
Date
1.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

2.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
3.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
4.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
5.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
6.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
7.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
8.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
9.

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

a)
b)
c)
d)
10.

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

a)
b)
c)
d)
11.

Which graph is showing the pre-image reflected over the y-axis?

a)
b)
c)
d)
12.

Look at the graph. Which shape is the pre-image?

a)

triangle GIH

b)

triangle G'I'H'

13.

Look at the graph. Choose the correct statement.

a)

Δ CDE and Δ C'D'E' are similar

b)

Δ CDE and Δ C'D'E' are congruent

c)

Δ CDE and Δ C'D'E' are not related

14.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

15.

Choose the correct statement.

a)

Reflection is a rigid transformation.

b)

Reflection is a non-rigid transformation.

16.

What is the midpoint of the straight line segment joining the points (-2, 5) and (6, -1)?

a)

(2,2)\left(2,2\right)

b)

(2,3)\left(2,3\right)

c)

(−4,2)\left(-4,2\right)

d)

(−4,3)\left(-4,3\right)

17.

What is the midpoint of the straight line segment joining the points (3, -6) and (-4, -3)?

a)

(3.5, −4.5)\left(3.5,\ -4.5\right)

b)

(3.5, −1.5)\left(3.5,\ -1.5\right)

c)

(−0.5, −1.5)\left(-0.5,\ -1.5\right)

d)

(−0.5, −4.5)\left(-0.5,\ -4.5\right)

18.

What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)

a)

(-4, 5)

b)

(-8, 5)

c)

( 8, 2.5)

d)

(8, 5)

19.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
20.

Find the midpoint of segment AB.

a)

(2, -4)

b)

(-1, 1)

c)

(-6, 4)

d)

(-2, 0)

21.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
22.

If point A is at (-2, 9) and point B is located at (6,-3), then find the coordinate for the mid-point of segment AB.

a)

(4, 6)

b)

(4, -6)

c)

(2, 3)

d)

(2, 0)

23.

Point M is the midpoint of segment JK. The coordinate for point M is (1,1) and point K is (8,3). Find the coordinate for point J.

a)

J (6, -1)

b)

J (-6, -1)

c)

J (-6, 1)

d)

J (6, 1)

24.

The following coordinates are for segment AB. A (-13, 7) and B(4, 5). Find the coordinate for the midpoint of segment AB.

a)

(-4.5, 1)

b)

(-9, 1)

c)

(-4.5, 6)

d)

(-9, 2)

25.

The midpoint and an endpoint are given. Find the other endpoint.

Endpoint: (-2, -4)

Midpoint: (3, -3)

a)

(8, −2)\left(8,\ -2\right)

b)

(−8, −2)\left(-8,\ -2\right)

c)

(8,2)\left(8,2\right)

d)

(−6, −2)\left(-6,\ -2\right)

26.
When Translating an image, if you move a figure to the right , you will have _____ a number.
a)
x +
b)
x -
c)
y +
d)
y -
27.
When Translating an image, if you move a figure down, you will have _____ a number.
a)
y +
b)
y -
c)
x +
d)
x -
28.
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)
29.
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)
30.
What is the algebraic notation of a figure is Translated 8 units left and 2 units up?
a)
(x, y) --> (x - 8, y + 2)
b)
(x, y) --> (x + 8, y - 2)
c)
(x, y) --> (x + 2, y - 8)
d)
(x, y) --> (8x, 2y)
31.
What is the algebraic notation of a figure is Translated 2 units right and 5 units up?
a)
(x, y) --> (x - 2, y - 5)
b)
(x, y) --> (x + 2, y + 5)
c)
(x, y) --> (x + 5, y - 2)
d)
(x, y) --> (5x, 2y)
32.
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)
33.
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)
34.
The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 6, y + 8)
b)
(x, y) --> (x + 6, y - 8)
c)
(x, y) --> (x + 8, y + 6)
d)
(x, y) --> (6x, 8y)
35.
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)
36.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
37.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

38.
What is the algebraic representation of translating a figure 3 units left and 5 units down?
a)
(x+5, y-3)
b)
(x-5, y+3)
c)
(x-3, y+5)
d)
(x-3, y-5)
39.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

40.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

41.

Reflections are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

42.
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)
43.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
44.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
45.
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
46.

State the line of reflection

a)

x = - 2

b)

y axis

c)

y = 2

d)

y = - 2

e)

x = 2

47.

State the line of reflection

a)

x = 1

b)

x axis

c)

y = 1

d)

y = - 1

e)

x = - 1

48.

State the line of reflection

a)

y axis

b)

x = 2

c)

x = - 2

d)

y = - 2

e)

y = 2

49.

Select ALL correct ordered pairs after a reflection across the x axis.

a)

K' (1 , 1)

b)

K' (-1,-1)

c)

N' (4 , 0)

d)

N' (-4 , 0)

e)

Q' ( 4 , 4)

50.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Congruent

c)

Transformation

d)

Similar

51.

How is triangle ABC being translated to triangle A'B'C'?

a)

3 up , 8 left

b)

9 down , 4 right

c)

8 down , 4 right

d)

2 up , 3 left

52.

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

53.

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)

54.

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

55.

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

a)
b)
c)
d)
56.

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

57.

a)

8 left and none up or down

b)

8 up and non left or right

c)

8 down and non left or right

d)

8 right and none up or down

58.

a)

2 left, 6 down

b)

2 right, 6 down

c)

2 left, 6 up

d)

2 right, 6 up

59.

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

a)

3 right, 1 up

b)

3 up

c)

3 right, 4 up

d)

6 up

60.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

61.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

62.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

63.
∛125
a)
5
b)
4
c)
6
d)
7
64.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
65.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
66.
∛216
a)
6
b)
72
c)
108
d)
4
67.
In 23 what is the base?
a)
2
b)
3
c)
23
68.

What is -9 cubed?

(-9)3

a)

-729

b)

729

c)

27

d)

-27

69.

The number 512 is a perfect cube because 512 = 83.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

70.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

71.

Find the cube root of -1,331:

a)

-121

b)

-11

c)

-443.67

72.
A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?
a)
32 units
b)
16 units
c)
8 units
d)
4 units
73.

Find the value of 332.7683_{\sqrt{32.768}}

a)

29

b)

30

c)

31

d)

32

74.

23323^3  means

a)

23 + 23 + 23

b)

23 x 3

c)

23 x 23 x 23

d)

3 + 23

75.



(a)  

76.

Which of the following is NOT correct estimation?

a)
b)
c)
d)
77.

(−3)2−(−5)3=\left(-3\right)^2-\left(-5\right)^3=  

a)

−3+5-3+5  

b)

9+1259+125  

c)

−3−5-3-5  

d)

−9−125-9-125  

78.

Find the volume of a cube if its length is 3cm

a)

9cm39cm^3

b)

27cm327cm^3

79.

y3=125y^3=125  
Find the value of y

a)

5

b)

15

c)

20

d)

25

80.

If a side of a cube is 5cm, find the volume of that cube.

a)

5cm³

b)

25cm³

c)

125cm³

d)

625cm³

81.

Find the 3D shape that the formula is length×width×height.

a)

Sphere

b)

Pyramid

c)

Cube

d)

Cuboid

82.

Find the volume of the cuboid.

a)

36cm

b)

36cm²

c)

36cm³

d)

36cm⁴

83.

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

a)

216cm³

b)

432cm³

c)

864cm³

d)

1728cm³

84.

The picture shows that a cube has been cut 1/4 of the cube. Find the remaining volume of the cube.

a)

16cm³

b)

24cm³

c)

32cm³

d)

48cm³

85.

This cube volume is 27cm³. If a person needs 40 of these cubes, find the total volume of these cubes.

a)

1000cm³

b)

1020cm³

c)

1040cm³

d)

1080cm³

86.

If a wood volume was 1000cm³, and then a person cut the wood into 5 pieces, what was the volume with 2 small pieces?

a)

200cm³

b)

300cm³

c)

400cm³

d)

500cm³

87.

The cuboid is a box. If Diana wants to put a 2cm×2cm×2cm small cube, how many small cubes can fit in this box?

a)

168

b)

169

c)

170

d)

171

88.

The picture shows that two different cuboids. Find the total volume of these two cuboids.

a)

225cm³

b)

226cm³

c)

227cm³

d)

228cm³

89.

Find the blue cuboid volume.

a)

9cm³

b)

12cm³

c)

15cm³

d)

18cm³

90.

The volume of this cuboid is 324cm³. Find the height of the cuboid.

a)

3cm

b)

4cm

c)

5cm

d)

6cm

91.

Which volume is bigger than this cuboid?

a)

32cm³

b)

33cm³

c)

37cm³

d)

34cm³

92.

Find the leftover volume of this cuboid.

a)

340cm³

b)

350cm³

c)

355cm³

d)

360cm³

93.

Which of these is lower than this cuboid volume?

a)

29cm×2cm×5cm

b)

5cm×9cm×6cm

c)

10cm×10cm×3cm

d)

8cm×5cm×8cm

94.

If Cube P's length, height and width were 5cm, find the total volume of these two 3D shapes.

a)

205cm³

b)

206cm³

c)

207cm³

d)

208cm³

95.

The volume of the following cube is . . . cm3.

a)

18

b)

36

c)

66

d)

216

96.

The volume of the following cuboid is . . . m3.

a)

240

b)

568

c)

685

d)

856

97.

A rectangular container measures 10 cm by 10 cm by 28 cm is a filled with the oil up to the brim. The volume of the oil inside the container is . . . cm3.

a)

280

b)

1400

c)

2800

d)

2810

98.

Find the Volume

(a)  

99.

Find the Volume of the Cube

(a)  

100.

Write the mixed number as an improper fraction

7 5/11

(a)  

101.

Write the mixed number as an improper fraction

2 3/5

(a)  

102.

Write the mixed number as an improper fraction

4 5/8

(a)  

103.

Write the mixed number as an improper fraction

3 4/9

(a)  

104.

Write the mixed number as an improper fraction

5 6/7

(a)  

105.

Write the mixed number as an improper fraction

2 1/4

(a)  

106.

Write the improper fraction as a mixed number in simplest form

30/9

a)

3 2/9

b)

3 3/9

c)

9 3/9

d)

3 1/3

107.

Write the improper fraction as a mixed number

27/8

a)

3 2/8

b)

4 3/8

c)

8 3/4

d)

3 3/8

108.

Write the improper fraction as a mixed number

22/3

a)

7 2/3

b)

7 1/3

c)

7 1/4

d)

7 3/4

109.

Write the improper fraction as a mixed number

12/4

a)

3 3/4

b)

3 1/4

c)

3

d)

4

110.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

111.

Write the improper fraction as a mixed number

23/5

a)

4 3/5

b)

4 5/3

c)

5 3/4

d)

4 3/4

112.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

5 2/5

b)

6 1/5

c)

5 3/5

d)

6 2/5

113.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

1 5/9

b)

1 6/9

c)

14/9

d)

15/9

114.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

1 3/11

b)

1 2/11

c)

11/8

d)

8/11

115.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

4 4/7

b)

5 4/7

c)

32/7

d)

56/4

116.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 1/10

b)

2 2/10

c)

21/10

d)

22/10

117.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 8/10

b)

2 4/5

c)

28/10

d)

22/10

118.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

6 3/7

b)

6 4/7

c)

45/7

d)

54/7

119.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

4 1/6

b)

6 1/6

c)

25/6

d)

4 2/3

120.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

6 4/6

b)

6 2/3

c)

40/6

d)

20/3

121.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 3/4

b)

2 9/12

c)

33/12

d)

11/4

122.

Evaluate...


Write your answer in the simplest form...

a)

5/21

b)

5/28

c)

15/21

d)

15/7

123.

Evaluate...


Write your answer in the simplest form...

a)

3/32

b)

3/28

c)

24/32

d)

24/4

124.

Evaluate...


Write your answer in the simplest form...

a)

5/18

b)

5/16

c)

5/14

d)

10/9

125.

Evaluate...


Write your answer in the simplest form...

a)

1/15

b)

1/8

c)

5/3

d)

5/15

126.

Evaluate...


Write your answer in the simplest form...

a)

2/35

b)

2/12

c)

9/5

d)

14/5

127.

Evaluate...


Write your answer in the simplest form...

a)

7/96

b)

7/94

c)

7/84

d)

7/86

128.

Evaluate...


Write your answer in the simplest form...

a)

6/35

b)

6/36

c)

1/6

d)

30/7

129.

Evaluate...


Write your answer in the simplest form...

a)

7/35

b)

7/40

c)

7/45

d)

7/30

130.

Evaluate...


Write your answer in the simplest form...

a)

10/66

b)

5/33

c)

10/60

d)

1/6

131.

Evaluate...


Write your answer in the simplest form...

a)

3/24

b)

1/8

c)

1/7

d)

3/28

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