Worksheets7th Grade
Total questions: 120
Worksheet time: 6hrs 37mins
Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
2.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
3.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
4.
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
5.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
6.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
7.
All angles in similar figures are congruent.
a)
True
b)
False
8.
Find missing side
a)
5
b)
7
c)
9
d)
11
9.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
10.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
11.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
12.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
13.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
14.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
15.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
16.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
17.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
18.
If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?
a)
1cm : 9ft
b)
1cm : 8ft
c)
4cm : 1ft
d)
1cm : 4ft
19.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
20.
The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
21.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
22.
Mrs. Ashley used similar triangles to make a design. Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
23.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
24.
All angles in similar figures are congruent.
a)
True
b)
False
25.
Sides of congruent or similar figures that are in the same position relative to the other sides and are proportional are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
26.
What is the new perimeter if the rectangle is enlarged with a scale factor of 3?
a)
40 cm
b)
60 cm
c)
80 cm
d)
120 cm
27.
What is the new area if the rectangle is enlarged with a scale factor of 3?
a)
912 cm2
b)
724 cm2
c)
864 cm2
d)
1220 cm2
28.
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
29.
a)
20
b)
30
c)
25
d)
23
30.
a)
205
b)
105
c)
230
d)
135
31.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
32.
Using a proportion, find the height of the tree.
a)
h = 0.0625 ft.
b)
h = 4 ft
c)
h = 16 ft.
d)
None of the above
33.
If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?
a)
300
b)
4.8
c)
3
d)
4
34.
What is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
35.
diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
36.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
37.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
38.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
39.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
40.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
41.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
42.
What is/are the formula(s) to find the circumference of a circle?
a)
3π6
b)
4π
c)
2πr πd
43.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
44.
What is the area of this circle?
a)
15393.8
b)
1248.12
c)
5930.12
d)
3848.45
45.
What is the area of this circle?
a)
50.27
b)
78.23
c)
98.12
d)
201.06
46.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
47.
What is the area of this circle?
a)
452.39
b)
139.12
c)
113.1
d)
84.23
48.
Radius: 7 yards
Circumference:
Circumference:
a)
14
b)
153.86
c)
21.98
d)
43.96
49.
Radius: 11 feet
Circumference:
Circumference:
a)
11
b)
379.94
c)
34.54
d)
69.08
50.
Radius: 6 feet
Circumference:
Circumference:
a)
36.1
b)
12
c)
37.68
d)
18.81
51.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
52.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
53.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
54.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?
bowl is 14 cm. What is the circumference of the
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
55.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?
radius of a cookie is 5 inches. What is the cookie’s
circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in
56.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
57.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 15 π
58.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? What is the circumference of this tire?
a)
81
b)
15.5
c)
27
d)
13
59.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
60.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
61.
If the radius of a circle is 12.5 meters, the diameter is ____
a)
6.25 meters
b)
125 meters
c)
25 meters
d)
50 meters
62.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 4 feet. What is the ring's approximate circumference (use 3.14 for pi)?
a)
25 ft
b)
50 ft
c)
13 ft
d)
100 ft
63.
Find the approximate area of this Semicircle with a diameter of 18 cm
a)
254 cm
b)
127 cm
c)
56 cm
d)
28 cm
64.
Diameter 14 inches
Find the area of a circle.
Find the area of a circle.
a)
615.44 in²
b)
153.86 in²
c)
43.96 in²
d)
87.92 in²
65.
Trevor is making a tablecloth for a circular table with a diameter of 40 inches. How many inches of tablecloth does he need?
a)
125.6 in²
b)
251.2 in²
c)
1256 ft²
d)
1256 in²
66.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the distance around the cookie?
radius of a cookie is 5 inches. What is the distance around the cookie?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in
67.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
68.
Marisa purchases a pot for her father's garden. The diameter of the bottom of the pot is 18 cm. What is the area of the pot's bottom? (Round to the nearest whole number.)
a)
28 cm²
b)
57 cm²
c)
254 cm²
d)
1017 cm²
69.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246 ft
c)
365 ft
d)
393 ft
70.
What is the diameter of the circle?
a)
5cm
b)
10cm
c)
2.5cm
d)
20cm
71.
What is the area of the yellow?
a)
78.5 mi2
b)
19.625 mi2
c)
39.25 mi2
d)
31.4 mi2
72.
The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?
a)
area
b)
circumference
c)
neither
73.
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost?
a)
$8.00
b)
$7.00
c)
$3.50
d)
$0.50
74.
An experienced ice skater spins on the ice, creating a perfect circle with a diameter of 4 feet. What is the circle's radius?
a)
8 ft
b)
2 ft
c)
16 ft
d)
4 ft
75.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the distance around the bowl?
bowl is 14 cm. What is the distance around the bowl?
a)
21.98 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
76.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
77.
Meg swam from one side of her circular pool to the other side going through the center. If Meg swam 8 feet, what is the approximate circumference of Meg's pool?
a)
16 feet
b)
25.12 feet
c)
251.2 feet
d)
4 feet
78.
Tom measured his frisbee from the center to the outside and found it to be 6 inches. What is the approximate circumference of Tom's frisbee?
a)
37.68 inches
b)
3 inches
c)
12 inches
d)
376.8 inches
79.
Which segment is not a radius?
a)
CA
b)
CB
c)
CD
d)
LM
80.
What is the radius?
a)
18
b)
72
c)
38
d)
14
81.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
82.
Find the area of the circle. Use 3.14 for π. Round to the nearest tenth if necessary.
a circle with radius 48 mm
a circle with radius 48 mm
a)
7,234.56 mm2
b)
2,216.46 mm2
c)
7,934.59 mm2
d)
7,314.22 mm2
83.
Find the Circumference.
a)
31.4 in
b)
78.5 in sq
c)
15.7 in
d)
3.14 in
84.
What is the circumference?
a)
50
b)
96
c)
24
d)
18
85.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.97 ft
d)
131.88 ft
86.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?
radius of a cookie is 5 inches. What is the cookie’s
circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in
87.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? (HINT: Find the circumference)
a)
81in
b)
15.5in
c)
27in
d)
13in
88.
What is the circumference of this circle?
a)
3.14 cm
b)
37.7 cm
c)
24 cm
d)
68.4 cm
89.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
90.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
91.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
92.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
93.
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was the tip?
a)
$ 15.00
b)
$ 12.25
c)
$3.00
d)
$4.00
94.
Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket? (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
95.
Find the total cost. $50 item; $10 coupon off; 10% sales tax
a)
$ 45
b)
$10
c)
$ 44
d)
$55
96.
Find the total earnings:
Commission Rate: 5.5%
Sales: $18,200
Commission Rate: 5.5%
Sales: $18,200
a)
$1001
b)
$10,010
97.
The regular price of a sofa is $599.99.
If there is a 20% discount and the sales tax is 6% (based on the discounted price), How much will the sofa cost?
a)
$508.79
b)
$479.99
c)
$635.99
d)
$489.59
98.
Shelley sells a home for $127,000 and makes 7% commission. How much commission does she make?
a)
135,890
b)
88,900
c)
889,000
d)
8,890
99.
Ralph sells a motorcycle for $7800 on Ebay. Ebay charges Ralph a 6% fee on the selling price. How much did Ralph get in total for the motorcycle after paying the Ebay fee?
a)
$7332
b)
$468
c)
$8268
d)
$7328
100.
In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change?
a)
173% increase
b)
73% increase
c)
73% decrease
d)
27% increase
101.
A Toyota Sienna sells for $41,899. A year later, the value is $36,469. What is the percent change to the nearest tenth of a percent?
a)
12% increase
b)
13% decrease
c)
112% decrease
d)
113% increase
102.
Sam went to buy a jacket he had seen for $65. When he went to the store, the jacket was $80. What was the percent of markup or markdown?
a)
23% markup
b)
23% markdown
c)
123% markup
d)
77% markdown
103.
Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?
Interest rate =5%
Time = 5 years
What is the interest earned?
a)
95
b)
105
c)
125
d)
135
104.
Ms. Scott receives a basket of apples at her door every Friday morning. Last Friday, there were 5 apples in the basket. This Friday, there were 8 apples in the basket. What is the percent of increase in the number of apples in the basket?
a)
38%
b)
63%
c)
60%
d)
167%
105.
Ann puts $300 in a bank account earning 4% interest. How much will she earn in interest in 1 year?
a)
4
b)
8
c)
12
d)
16
106.
What is 20% of 75?
a)
15
b)
60
c)
6
d)
1.5
107.
12 is what percent of 30?
a)
60%
b)
40%
c)
250%
108.
On a science quiz, Marquez answered 46 out of 50 questions correctly. What percent of the questions did he answer correctly?
a)
23%
b)
92%
c)
92
d)
43%
109.
Trevor bought a video game that cost $48.50. The sales tax was 5%. How much was the tax?
a)
$2.42
b)
$2.43
c)
$3
d)
$24.25
110.
Last week, Charlie made 60% of the sales at the store where he works. The total amount of sales for the week was $2800. What was Charlie's total amount of sales last week?
a)
$1,680
b)
$4,666.67
c)
$0.02
d)
$1,800
111.
What is the area of the shaded region?
a)
19.8 cm2
b)
25.16 cm2
c)
32.6 cm2
d)
14.96 cm2
112.
Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
18,400 ft²
c)
16,000 ft²
d)
2,400 ft²
113.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
114.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
115.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
116.
Find the area of the composite figure.
a)
100
b)
400
c)
137.5
d)
175
117.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
118.
What is the composite area of the figure shown? (use 3 for pi)
a)
128
b)
96
c)
24
d)
368
119.
What is the area of the composite figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
120.
Solve.
a)
102 m2
b)
39 m2
c)
51.2 m
d)
81 m2
100 %
