wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

KAP Cumulative 3SW Review

Total questions: 114

Worksheet time: 9hrs 5mins

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
Sides in similar figures must be proportional.  
a)
True
b)
False 
3.
Find the perimeter of the large triangle. (First find the missing side length)
a)
24
b)
36
c)
12
d)
54
4.
All angles in similar figures are congruent.  
a)
True
b)
False
5.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
6.
Review the picture.  Find the missing side measurement in the picture using a proportion.
a)
w = 18 m
b)
w = 6 m
c)
6 m
d)
w = 0.16 m
7.
a)
A
b)
B
c)
C
d)
D
8.
Find missing side
a)
5
b)
7
c)
9
d)
11
9.

Correctly match the statements about similar figures.

a)

Corresponding means...

1.

matching

b)

Corresponding angles are...

2.

congruent

c)

Corresponding sides are...

3.

proportional

d)

Two figures with the same...

4.

shape

e)

Not the same...

5.

size

10.

A student’s rectangular desk is 30 inches long and 18 inches wide. The teacher’s desk is similar to the student’s desk and has a length of 50 inches. What is the width of the teacher’s desk?

a)

20 inches

b)

30 inches

c)

12 inches

d)

50 inches

11.

A model house has a scale of 2 cm : 7 m. If the real house is 14 m wide, then how wide is the model house?

a)

49 cm

b)

1 cm

c)

4 cm

d)

9 cm

12.

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5 m

b)

13.5 m

c)

1.5 m

d)

1.7 m

13.
On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
14.

A scale on a hiking map shows that 3 inches represents 1.25 miles. What number of inches on the map represent 10 actual miles?

a)

24 inches

b)

12.5 inches

c)

30 inches

d)

3 inches

15.
Find the missing side length.
a)
32
b)
35
c)
20
d)
16
16.
Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?
a)
5 cm
b)
7.5 cm
c)
8 cm
d)
9 cm
17.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right two, down five
b)
right two, down 9
c)
left two, up 9
d)
left two, down 5
18.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
19.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
20.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
21.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
22.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
23.
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.
24.

Reflect the triangle over the x axis. What are it's new coordinates?

25.

The triangle was transformed using the rule (x, y) --> (-y, x). What are its new coordinates? (Select 3)

A
B
C
D
E
F
G
H
I
J
26.
A figure is multiplied by the scale factor 1/4. What will be the change in area?
a)
The area will be 1/4 the original area.
b)
The area will be 1/8 the original area.
c)
The area will be 1/16 the original area.
27.
A figure is multiplied by the scale factor 1/4. What will be the change in perimeter?
a)
The perimeter will be 1/4 the original perimeter.
b)
The perimeter will be 1/8 the original perimeter.
c)
The perimeter will be 1/16 the original perimeter
28.

If the original perimeter is 12 units and the scale factor is 1/4 what is the perimeter of the scale drawing?

a)
300
b)
4.8
c)
3
d)
4
29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

A figure is dilated by a scale factor of 7. How will the area of the figure be effected?

a)

It will be 7 times bigger.

b)

It will be 49 times bigger.

c)

It will be 7 times smaller.

d)

It will be 49 times smaller.

32.

If an image is dilated by a scale factor below, the dilation is a...

k = 103k\ =\ \frac{10}{3}  

a)

Reduction

b)

Enlargement

33.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
34.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
35.

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

a)

3

b)

1/3

c)

8

d)

16

36.

Which of the following algebraic rules represents an enlargement? Select all that apply.

a)

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

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

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

37.

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

a)

(x,y) →(13x, 13y)\left(x,y\right)\ \rightarrow\left(\frac{1}{3}x,\ \frac{1}{3}y\right)

b)

(x,y)→(3x, 3y)\left(x,y\right)\rightarrow\left(3x,\ 3y\right)

c)

(x,y) →(x+14, y+6)\left(x,y\right)\ \rightarrow\left(x+14,\ y+6\right)

d)

(x,y) → (0x, 0y)\left(x,y\right)\ \rightarrow\ \left(0x,\ 0y\right)

38.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
39.

Triangle FGH is shown on the coordinate plane.

Triangle FGH is rotated 90° clockwise to create triangle F'G'H'.

Choose the correct answer from each drop-down menu to complete the statements.

Triangle F'G'H' is ​ (a)   to triangle FGH.

The orientation of the vertices of triangle F'G'H' ​ (b)   the same as the orientation of the vertices of triangle FGH.

Choose from the below words
congruent
similar but not congruent
not similar
is
is not
40.

Draw this triangle after it has been translated four units right and 2 units down

41.

a)

F

b)

G

c)

H

d)

J

42.

The vertices of ∆JKL, have coordinates J(5, 1), K(−2, −3), and L(−4, 1). Under which transformation is ∆J ′K ′L ′ not congruent to ∆JKL?

a)

A. A translation of two units to the right and two units down.

b)

B. A counterclockwise rotation of 180 degrees around the origin.

c)

C. A reflection over the x-axis

d)

D. A dilation with a scale factor of 2 and centered at the origin.

43.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

44.

If your SF = 0.8, what type of dilation is it?

a)

Reduction

b)

Enlargement

45.

What does congruence mean?

a)

Flip

b)

Slide

c)

Equal

d)

dilate

46.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

A. (x, y) --> (2x, 2y)

b)

B. (x, y) --> (x + 2, y - 2)

c)

C. (x, y) --> (0.5x, 0.5y)

d)

D. (x, y) --> (x - 0.5, y - 1)

47.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
48.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
49.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

50.

Order the following in ASCENDING order.

a)

1.04‾1.\overline{04}  

b)

π3\frac{\pi}{3}  

c)

1.41.4  

d)

2\sqrt[]{2}  

1)
2)
3)
4)
51.

Order the following in DESCENDING order.

a)

23\sqrt[]{23}  

b)

4.3‾4.\overline{3}  

c)

4110\frac{41}{10}  

d)

23%23\%  

1)
2)
3)
4)
52.

What value of x makes the inequality true?

a)

A

b)

B

c)

C

d)

D

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

F

b)

G

c)

H

d)

J

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)

A

b)

B

c)

C

d)

D

58.
a)

A

b)

B

c)

C

d)

D

59.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
60.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
61.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
62.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
63.
What are the 2 shorter sides of a right triangle called?
a)
Hypotenuse
b)
Pythagorean Theorem
c)
Legs
d)
Right triangle
64.

What is the opposite (inverse operation) of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

65.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
66.

Find the missing length? *solve for x

a)

50 yards

b)

60 yards

c)

70 yards

d)

80 yards

67.
Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?
a)
60 feet
b)
20 feet
c)
180 feet
68.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
69.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

70.

Solve for the missing side length

a)

6 ft

b)

5 ft

c)

82 ft

d)

20 ft

71.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

72.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
73.
Solve:
8w - 8 = -4w + 16
a)
8
b)
16
c)
24
d)
2
74.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
75.
Which situation can be represented by the equation 
1500 - 50x = 2000 - 100x
a)
There are two water tanks in the city.  One tank has 1500 gallons and gains 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
b)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
c)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the tanks have the same amount of water?
d)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the bigger tank have more water?
76.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
77.

Annie and Jamal each get paid $15 per hour with Jamal making an additional $26.50 in tips.  If together they made a total of $386.50, then how many hours did EACH person work if they both worked the same amount of hours?

a)

10 hours each

b)

11 hours each

c)

12 hours each

d)

13 hours each

78.

What was the mistake the student make?

a)

The student did not distribute properly.

b)

The student did not combine like terms properly.

c)

The student did not subtract properly.

79.
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 
a)
150x + 24 = 180 + 20x
b)
150 + 24x = 180 + 20x
c)
180 - 150 = 24 x + 20x
d)
150 - 24x = 180 - 20x
80.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

81.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 
a)
120 miles
b)
100 miles
c)
110 miles
d)
150 miles 
82.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
83.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
84.

Find the value of x if the  m∠1 = 11x − 9°m\angle1\ =\ 11x\ -\ 9\degree and the  m∠5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

85.
Find y.
a)
50
b)
130
86.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
87.

Solve for x

a)

49

b)

58

c)

70

d)

94

88.

Solve for x

a)

65

b)

74

c)

37

d)

64

89.

Solve for x

a)

70

b)

23

c)

120

d)

130

90.

What is the value of x?

a)

23

b)

32

c)

20

d)

35

91.
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
92.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
93.
94.
a)

575.3 cm2

b)

287.6 cm2

c)

398.5 cm2

d)

604.1 cm2

95.
a)

192 cm2

b)

128 cm2

c)

152 cm2

d)

144 cm2

96.

a)

164.9 cm2

b)

277.0 cm2

c)

138.5 cm2

d)

191.3 cm2

97.

98.

What is the total surface area of the triangular prism shown?

a)

468 in2

b)

540 in2

c)

576 in2

d)

700 in2

99.
Find the volume of the composite figure.  Round your answer to the nearest whole number.
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
100.
Find the volume of the cylinder.
a)
1130.97m2
b)
4523.89m2
c)
1130.97m3
d)
4523.89m3
101.
Find the volume of the sphere. 
a)
904.78 ft3
b)
7,238.23 ft3
c)
150.72 ft3
d)
650.22 ft3
102.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
103.
Find the volume of the cone. 
a)
320.4 in3
b)
314.2 in3
c)
205.5 in3
d)
267.4 in3
104.
Jenna created a cylinder that is 11 inches tall and has a volume of 11196.6 cubic inches. Find the radius of the cylinder.
a)
9
b)
18
c)
27
d)
36
105.
Which shape would you use this volume formula for?
a)
Spheres
b)
Cones
c)
Cylinders
d)
Prisms
106.
a)

A

b)

B

c)

C

d)

D

107.
a)

A

b)

B

c)

C

d)

D

108.
Find the volume of the hemisphere
a)
904.3 in3
b)
226.1in3
c)
113.0 in3
d)
452.2 in3
109.

Find the volume of the composite figure. Use 3.14 for π\pi  , and round your answer to the nearest cubic inch.

a)

113 in3

b)

122 in3

c)

57 in3

d)

66 in3

e)

179 in3

110.

Find the volume of the composite figure. Use 3.14 for π\pi , and round your answer to the nearest cubic inch.

a)

67 cubic inches

b)

84 cubic inches

c)

50 cubic inches

d)

17 cubic inches

111.
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
a)
4825.5 ft3
b)
1206.4 ft3
112.

Find the RADIUS of the cylinder. Round your answer to the nearest whole number.


V = 2769 in3

h = 18 in

a)

49 in

b)

6 in

c)

7 in

d)

36 in

113.

Find the HEIGHT of this cylinder. Round your answer to the nearest whole number.


V = 352 yd3

r = 8 yd

a)

4 yd

b)

1 yd

c)

2 yd

d)

6 yd

114.

Find the HEIGHT of the cone. Round your answer to the nearest whole number.


V = 628 mm3

r = 5 mm

a)

26 mm

b)

24 mm

c)

23 mm

d)

25 mm

Similar Resources on Wayground

Reported speech

10 questions

Reported speech

quiz

Worksheet

•

8th Grade

PENDIDIKAN MUZIK (TING 1) NOTASI MUZIK

10 questions

PENDIDIKAN MUZIK (TING 1) NOTASI MUZIK

quiz

Worksheet

•

6th Grade

5th Grade - Social Studies - Act #1 - QUIMESTRAL EXAM (II)

10 questions

5th Grade - Social Studies - Act #1 - QUIMESTRAL EXAM (II)

quiz

Worksheet

•

5th Grade

Títulos de crédito en particular

10 questions

Títulos de crédito en particular

quiz

Worksheet

•

University

Force

10 questions

Force

quiz

Worksheet

•

8th Grade

Invisible Prince

10 questions

Invisible Prince

quiz

Worksheet

•

2nd Grade

La empresa y el empresario

10 questions

La empresa y el empresario

quiz

Worksheet

•

KG

Robotica 2018

11 questions

Robotica 2018

quiz

Worksheet

•

5th - 9th Grade