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7th Standard Math Unit 3B AKS Review

Total questions: 60

Worksheet time: 5hrs 27mins

Name
Class
Date
1.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

2.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
3.

What is the scale factor from ABC to DEF?

a)

2

b)

3/2

c)

2/3

d)

1/2

4.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

5.

Mr. Blankenship has a garden. He constructs a scale model of the garden using

the scale 1 inch : 2 feet. The garden has a length of 12 feet.
​
What is the length of the garden in Micah's model?

a)

6 ft.

b)

24 in.

c)

6 in.

d)

24 ft.

6.

The scale of a new hotel being built is 1 inch: 13 meters. The height of the scale drawing is 23 inches, what is the actual height of the building?

a)

299 meters

b)

199 meters

c)

293 meters

d)

193 meters

7.

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

a)

1 cm = 6 meters

b)

1 m = 18 centimeters

c)

18 centimeters = 6 meters

d)

1 cm = 3 meters

8.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. WHAT IS THE SCALE?

a)

1 in to 40 yd

b)

1 in to 52 yd

c)

1 in to 56 yd

d)

1 in to 64 yd

9.
What is the scale factor from Figure MNOP to Figure ABCD?
a)
2/3
b)
1/2
c)
3/2
d)
2
10.

This picture is the reduced form of a 12 by 18 inch picture. What is the scale factor being used?

a)

13\frac{1}{3}

b)

3

c)

18\frac{1}{8}

d)

8

11.
Question Image

Sam drew △ABC , then applied a scale factor of 2132\frac{1}{3} to draw △QRS.

What are the side lengths of △QRS?

Match the side to its correct length.

a)

Side QR

1.

21

b)

Side RS

2.

28

c)

Side QS

3.

25

12.

Triangle N is a scale drawing of Triangle M.
Based on the information in the diagram, what is the side length of side x?

a)

4

b)

5

c)

8

d)

10

13.
In the figures below, ∆QSR ~ ∆XYZ. Write a proportion and solve for side QS. 
a)
2.4
b)
15
c)
24
d)
16
14.

The trapezoids are similar. What is the value of x? Be careful.

a)

10

b)

37.5

c)

25

d)

15

15.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
16.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.5 units
17.

These two triangles are

a)

similar

b)

not similar

c)

not enough information

18.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
19.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
20.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
21.

Find the slope of the line.

a)

2

b)

41\frac{4}{1}

c)

31\frac{3}{1}

d)

12\frac{1}{2}

22.

Find the slope

a)

52\frac{5}{2}

b)

−52\frac{-5}{2}

c)

15\frac{1}{5}

d)

51\frac{5}{1}

23.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

24.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

25.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

26.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

27.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

28.

What are some ways slope can be represented or calculated?

a)

riserun\frac{rise}{run}

b)

Change of yChange of x\frac{Change\ of\ y}{Change\ of\ x}

c)

unit rate

d)

rate of change

e)

y2 −y1x2−x1\frac{y2\ -y1}{x2-x1}

29.
a)

30 points/game

b)

20 points/game

c)

10 points/game

d)

15 poins/game

30.
What is the slope?
a)
5
b)
1/5
c)
15
d)
10
31.
What is the slope?
a)
3
b)
-3
c)
10
d)
-6
32.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

33.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
34.

Which graph has a slope of 2?

a)
b)
c)
d)
35.

Carter receives $13.50 for every 5 boxes of chocolate he sells. Which graph shows this relationship?

a)
b)
c)
d)
36.

Joel earns $4.50 per hour. Which graph represents this relationship?

a)
b)
c)
d)
37.
Which runner was faster?
a)
Runner A
b)
Runner B
38.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
39.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
40.

The graph shows the speed of a Sally the sloth. Jordan, another sloth's speed is shown by the equation y=3x. Which sloth is moving faster?

a)

Sally

b)

Jordan

c)

Impossible to tell

41.

Which proportional relationship has the greatest rate of change?

a)

b)

y = 5x

c)

d)

The y value increases 10 for every increase of 3 in the value of x.

42.

Dixie pays $6 for 4 bags of chips. Which graph

has a slope that best represents the cost per bag of

chips Dixie purchased?

a)
b)
c)
d)
43.

Mrs. Soto can decorate 5 cupcakes in 2 minutes.

Which graph has a slope that best represents the

number of cupcakes per minute Mrs. Soto can

decorate?

a)
b)
c)
d)
44.

Kim’s favorite snack mix contains peanuts and plain chocolate bites. She has been experimenting with different recipes. Which of the mixtures could she use to show a proportional relationship of 4:1?

a)
b)
c)
d)
45.

Jonah is saving money each week. Which of the following represent the same proportional relationship as the graph?

a)
b)
c)
d)
46.


The table represents a proportional relationship.

​Which graph represents a proportional relationship with the same unit rate as the table?

a)

b)

c)

d)

47.
What is corresponding congruent angles and proportional sides?
a)
Similar Figures
b)
Scale Factor
c)
Congruent Shapes
48.
What are matching sides of similar figures?
a)
Corresponding Sides
b)
Corresponding Angles
c)
Scale Factor
49.
All angles in similar figures are congruent.  
a)
True
b)
False
50.

Which best describes the pair of figures?

a)

similar

b)

not similar

51.

Which best describes the pair of figures?

a)

similar

b)

not similar

52.

Which best describes the pair of figures?

a)

similar

b)

not similar

53.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
54.

The diagram shows a rectangle that is 4 in by 7 in in measure.


Which is the measure of a rectangle that is similar to the rectangle above?

a)

4 in x 17 in

b)

24 in x 42 in

c)

7 in x 10 in

d)

5 in x 8 in

55.

A scale drawing of a city plaza in which 1 inch = 1.5 feet is shown below. To the nearest whole number, what is the area of the actual plaza?

a)

81 square feet

b)

81 square inches

c)

182 square feet

d)

182 square inches

56.
The scale drawing for Zoe's room is shown. If 1 in on the scale drawing equals 3 feet. What is the area for Zoe's room?
a)
49  square feet
b)
132 square feet
c)
126 square feet
d)
14 square feet
57.

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

a)

20 cm2

b)

60 cm2

c)

180 cm2

d)

100 cm2

58.
An architect wants to create a scale drawing of a bedroom using the scale of 2.5 cm = 5 feet.  If the bedroom's dimensions in real life are 22 feet by 18 feet, what is the AREA of the bedroom in the scale drawing?
a)
9 feet by 11 feet
b)
99 cm2
c)
9 cm by 11 cm
d)
99 ft2
59.

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

a)

The area will be half as big.

b)

The area will be twice as large.

c)

The area will be 4 times larger.

d)

The area will be 8 times larger.

e)

The area will not change.

60.
To find the area of the second figure, you multiply ________________.
a)
length x width 
b)
perimeter x perimeter
c)
scale factor x scale factor

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