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Unit 4 Review (7th Grade Must-Dos)

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.
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

2.
If my radius is 10ft, what is my diameter?
a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

3.

A circular swimming pool is 21 feet in diameter.
How many feet would it be around the pool?

a)

10.5 ft

b)

42 ft

c)

65.94 ft

d)

131.95 ft

4.
Find the circumference (to the nearest whole number)
a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

5.

What is the distance around a circle called?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

6.

The Jones family wants to enclose their circular garden with a fence. To the nearest tenth, what is the minimum length of fencing they need to buy?

a)

56.25 ft

b)

246.2 ft

c)

365.56 ft

d)

392.5 ft

7.
Find the area of the circle
a)

56.52 in2in^2

b)

254.34 in2in^2

c)

1017.36 in2in^2

d)

113.04 in2in^2

8.
What is the area of a circle with the diameter of 10cm ?
a)

66 cm2cm^2

b)

78.5 cm2cm^2

c)

66.5 cm2cm^2

d)

10 cm2cm^2

9.
What is the area of this circle?
a)

62.59 cm2

b)

113.1 cm2

c)

19.81 cm2

d)

28.26 cm2

10.

What is the formula to find the area of a circle?

a)

A=πr2

b)

A=2πr

c)

A=2πr2

11.
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

12.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

13.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

19.28 cm2cm^2

b)

163.93 cm2cm^2

c)

655.39 cm2cm^2

d)

None of these

14.

Find the area of the shaded sector. Round to the nearest tenth.

a)

7.9 units 2

b)

24.7 units2

c)

10.6 units2

d)

98.2 units2

15.
Calculate the length of the arc. Round your answer to 2 decimal places.
a)

16.4 cm

b)

64.2 cm

c)

16.2 cm

d)

64.8 cm

16.

Which formula can be used to find the circumference of a circle?

a)

C = π r2

b)

C = 2π r

c)

C = 2πd

17.
Does this picture show the diameter or radius of a circle?
a)

Diameter

b)

Radius

18.

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices. Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza

a)

One Slice

b)

Two Slices

19.

Find the length of the arc to the nearest hundredth.

a)

2.09m

b)

301.59m

c)

1.05m

d)

2.51m

20.
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

21.
Find the volume of the cylinder.
a)

4239 m3m^3

b)

1696 m3m^3

c)

1130 m3m^3

d)

565 m3m^3

22.
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

23.
Find the volume of the figure. Round to the nearest tenth.
a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

24.
Find the total surface area of the cylinder.
a)

471 cm3cm^3

b)

471 cm2cm^2

c)

297 cm2cm^2

d)

297 cm3cm^3

25.
Which cylinder will have a larger volume?
a)

Cylinder A

b)

Cylinder B

c)

They have the same volume.

26.
Soda is sold in aluminum cans that measure
 4.83 inches in height and 2.6 inches in diameter.  What is the volume?
a)

25.63 in 3

b)

26 in 3

c)

19.73 in 3

d)

95.28 in 3

27.

Find the SURFACE AREA of the cylinder.

a)

1507.2 square units

b)

1004.8 square units

c)

2411.52 square units

d)

3617.28 square units

28.
The radius is ___________ of the diameter?
a)

one-fourth

b)

one - half

c)

two times

29.
What is the surface area formula for a cylinder?
a)

SA = πrl + πr2

b)

SA = 2πr2 + 2πrh

c)

SA = 4πr2

d)

SA = πr2h

30.

Find the surface area of the cylinder.

a)

131.88 m2

b)

188.4 m2

c)

131.88 m3

d)

188.4 m3

31.
A transformation in which a graph or geometric figure is picked up and moved to another  location without any change in size or orientation.
a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

32.
The result of a transformation.
a)

Pre-image

b)

Image

33.

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)

34.
What does a translation do to a figure on the coordinate plane?
a)

Rotates it

b)

Flips it

c)

Shrinks it

d)

Slides it

35.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)

Translated 5 units to the right and 5 units down

b)

Translated 8 units to the right and 5 units down

c)

Translated  5 units to the right and 8 units down

d)

Translated 4 units to the right and 5 units down 

36.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

37.

What is the coordinate notation of a figure is that 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)

38.
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

39.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1) 
What are the coordinates of K'? 
a)

(6, 3)

b)

(7, 3) 

c)

(7, 1) 

d)

(5, 3) 

40.
What color is the x-axis?
a)

red

b)

black

c)

green

d)

white

41.
What color is the y-axis?
a)

red

b)

black

c)

green

d)

white

42.
If the dotted figure is the image, the original figure was reflected over the ...
a)

x-axis

b)

y-axis

43.
If the dotted figure is the image, the original figure was reflected over the ...
a)

x-axis

b)

y-axis

44.
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

45.
Find K' if the figure is reflected across the x-axis
a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

46.
Reflect the point (2, -4) over the y-axis.
a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

47.
Which answer shows a reflection across the x-axis?
a)

d

b)

c

c)

b

d)

a

48.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

49.
What is the rule for the following reflection? 
a)

Reflection across      x-axis

b)

Reflection across        y-axis

c)

Reflection across  y = x

d)

Reflection across          y = -x

50.

Is this a reflection over the x-axis or y-axis?

a)

X axis

b)

Y axis

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