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Math Practice (Geometry)

Total questions: 60

Worksheet time: 2hrs 59mins

Name
Class
Date
1.

Greg installed a circular drain that has a diameter of 4.8 inches.


To the nearest tenth of an inch, what is the circumference of the drain?

a)

7.5

b)

15.1

c)

18.1

d)

30.1

2.

Albert is taking a walk around the perimeter of the park. There is a park that is 200 feet wide and 300feet long. How many feet did he walk?

a)

1000 feet

b)

500 feet

c)

60,000 feet

d)

30,000 feet

3.

A parallelogram has a base of 150, The height is 30. What is the area?

a)

5 square feet

b)

4500 square feet

c)

2250 square feet

d)

360 squarefeet

4.

A rectangle has a perimeter of 400. The height it 50. What is the base?

a)

350 feet

b)

150 feet

c)

900 feet

d)

450 feet

5.

What is the area of this circle?

a)

81π81\pi

b)

9π9\pi

c)

324π324\pi

d)

18π18\pi

6.

The high school has a college acceptance rate of 68%. If 250 seniors graduated, how many did not go on to college?

a)

170 students

b)

80 students

c)

200 students

d)

68 students

7.

Linda got a pool that is 50 feet wide, 30 feet long, and 4 feet deep. The water is being filled at 100 cubic feet per minute. How long will it take for the pool to be filled?

a)

6000 minutes

b)

600 minutes

c)

60 minutes

d)

6 minutes

8.

Sharon is baking cookies. She wants to make 100 cookies. The recipe needs 3 cups for flour for 12 cookies. About how many cups of flour does she need?

a)

25 cups

b)

8 cups

c)

100 cups

d)

13 cups

9.

A cake is 12 inches by 30inches and is 2 inches deep. If Wendy cut the cake into 60 equal pieces, how many cubic inches is one slice?

a)

720 cubic inches

b)

12 cubic inches

c)

312 cubic inches

d)

24 cubic inches

10.

Novaya has a circular garden that is 20 feet in diameter. She wants to put a fence around her garden. About how many feet does she need?

a)

About 375 feet

b)

Abut 750 feet

c)

About 314 feet

d)

About 1250 feet

11.

Kevin hired a cleaning service to clean her kitchen and bath room. The kitchen floor is 30 feet by 25 feet. The bathroom floor is 10feet by 6 feet. The service charges 0.25 per square foot. How much does Myra pay in total if she gives the cleaner a $20 tip in addition to the normal pay?

a)

$222.50

b)

$202.50

c)

$810

d)

$830

12.

What is the area of this figure?

a)

98.24

b)

73.12

c)

146.24

d)

121.12

13.

The community garden is 500 feet by 400 feet. There are 25 students that want a plot. How much space does each student get?

a)

200,000 square feet

b)

8000 square feet

c)

5,000,000 square feet

d)

72 square feet

14.

A trapezoid has a base of 20 and a base of 15, The height is 24. What is the area?

a)

420 square feet

b)

480 square feet

c)

300 square feet

d)

59 square feet

15.

A triangle has a perimeter of 400. Side A is 175, Side B is 190. What is the measure of side C?

a)

35 feet

b)

365 feet

c)

575 feet

d)

765 feet

16.

The city has 20,000 people. 70% of the people own cars. How many people do not own a car?

a)

14,000 people

b)

6,000 people

c)

3000 people

d)

13,000 people

17.

Miguel ordered a pizza that is 10 inches in diameter. What is the area of the circle?

a)

78.75 square feet

b)

314 square feel

c)

31.4 square feet

d)

15.75 square feet

18.

Mike wants to build a fence around his yard that is 25 feet by 70 feet. If each foot of fence costs $5, how much will the entire fence cost?

a)

$1750

b)

$8750

c)

$190

d)

$950

19.

A triangle has an area of 200 square feet. The base is 30 feet. About how tall is the triangle?

a)

13 feet

b)

6 feet

c)

3000 feet

d)

6000 feet

20.

What is the area of this figure?

a)

70 square feet

b)

30 square feet

c)

50 square feet

d)

60 square feet

21.

Marilenna wants to put a fence around her round garden. The garden has a 20 feet diameter. Fence costs $2 per feet. About how much will the fence cost?

a)

$125

b)

$40

c)

$60

d)

$800

22.

What is the area of the gray?

a)

100 square feet

b)

30 square feet

c)

70 square feet

d)

66 square feet

23.

The perimeter of a rectangle is 300 feet. The width is 50 feet. How many feet is the length?

a)

100 feet

b)

50 feet

c)

15,000 feet

d)

700 feet

24.

R is equal to 5 feet. How many feet would fence around the figure be?

a)

25.7 feet

b)

41.4 feet

c)

78.5 feet

d)

39.25 feet

25.

Aiwan weighs 240 lb. He goes on a diet and loses 20% of his body weight. How much weight, in ounces, did he lose? (Hint: 1 lb. = 16 oz.)

a)

728 oz.

b)

748 oz.

c)

768 oz.

d)

788 oz.

26.

William deposited $375 into a bank account earning 2.1% simple interest. What will his new account balance be in 12 years? Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.

a)

$389.50

b)

$429.50

c)

$469.50

d)

$479.50

27.

A sphere has a radius of 7.5 centimeters (cm).


To the nearest cubic centimeter, what is the volume of the sphere?

a)

236

b)

1,325

c)

1,766

d)

14,130

28.
One of the first electronic computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space inside was approximately 3,000 cubic feet. How many feet high was the computer? 
a)
1.25
b)
12.50
c)
27.60
d)
125.00
29.

Find the area of the given trapezoid.

a)

102 in2

b)

936 in2

c)

1,872 in2

d)

3,744 in2

30.

Find the volume of the cylinder to the nearest whole number. (π≈3.14)\left(\pi\approx3.14\right)

a)

188 ft3

b)

236 ft3

c)

377 ft3

d)

942 ft3

31.

Find the volume of the right pyramid to the nearest whole number.

a)

15 yd3

b)

30 yd3

c)

75 yd3

d)

225 yd3

32.
The drawing above shows CD parallel to AB. If AB = 4 miles, BP = 3 miles, and CP = 6 miles, how many miles is it from C to D? 
a)
4.0
b)
5.0
c)
6.5
d)
8.0
33.
In the figure above, <RXT measures 90˚. Which other angle(s) is a complement of <a?
a)
<b only
b)
<d only
c)
<c only
d)
<c and <d
34.
Which of the following could be the measures of the three angles of a triangle?
a)
20 - 40 - 110 deg
b)
20 - 40 - 130 deg
c)
30 - 50 - 90 deg
d)
30 - 50 - 100 deg
35.
In the diagram, what is the measure of angle x?
a)
30
b)
60
c)
90
d)
120
36.
The longest side of a certain right triangle is 10 units long. Another side is 6 units long. Which of the following represents the length of the triangle’s third side?
a)
√(102 + 62)
b)
√102 + √62
c)
√102 – √62
d)
√(102 – 62)
37.
A square piece of cloth is cut from a larger square as in the figure above. The corners of the smaller square are the midpoints of the sides of the larger square. How much cloth, in square centimeters, is left over?
a)
16
b)
32
c)
64
d)
128
38.
What is the area of this shape?
a)
5 ft^2
b)
6 ft^2
c)
12 ft^2
d)
36 ft^2
39.
If a side of a cube is 4 inches long, what is the cube's volume?
a)
64 inches^3
b)
48 inches^3
c)
32 inches^3
d)
24 inches^3
40.
If the height of the can is 6 inches and the diameter of the lid is 3 inches, what is the surface area of the soup can?
a)
14.13 inches^2
b)
56.52 inches^2
c)
70.65 inches^2
d)
169.56 inches^2
41.
What is the distance between the two points shown on the number line?
a)
5 1/2
b)
6 1/2
c)
-5 1/2
d)
6
42.
Two points are plotted on a number line: −11.2 and 3.3. What is the distance between these two points?
a)
7.9
b)
-7.9
c)
14.5
d)
-14.5
43.
The rectangular ABCD has AB = 3 inches and BC = 4 inches. What is the length of the diagonal AC?
a)
3 inches
b)
4 inches
c)
5 inches
d)
6 inches
44.
What is the area of the hatched shape in the figure below? All corners are right, AB = 3, AD = 6, GH = 1 and EG = 1.
a)
15
b)
17
c)
18
d)
19
45.

If figure ABEC is a rectangle, find the area of triangle ACD.

a)

27 m2

b)

45 m2

c)

66 m2

d)

90 m2

e)

I don't know how to do this question

46.

The diameter of the smaller circle is equal to the radius of the larger circle. What is the area of the shaded region rounded to the nearest whole number? (π≈3.14)\left(\pi\approx3.14\right)

a)

25 in2

b)

38 in2

c)

101 in2

d)

151 in2

e)

I don't know how to do this question

47.

The bottom of a ladder is placed 8 feet from the wall of a house. The wall and the ground form a right angle. If the ladder is 15 feet in length, how far up the wall does it reach (to the nearest foot)?

a)

12

b)

13

c)

17

d)

23

e)

I don't know how to do this question

48.

A contractor has hired a trash hauling service to remove trash from a job site. The trash bins are rectangular containers with the measurements shown in the diagram. How many cubic feet of trash can each container hold?

a)

192 ft3

b)

288 ft3

c)

568 ft3

d)

576 ft3

e)

I don't know how to do this question

49.

Find the surface area of the right circle cylinder. Round your answer to the nearest whole number (π≈3.14)\left(\pi\approx3.14\right)

a)

327 cm2

b)

402 cm2

c)

653 cm2

d)

1,005 cm2

e)

I don't know how to do this question

50.

Find the surface area of the prism.

a)

203 cm2

b)

225 cm2

c)

245 cm2

d)

259 cm2

e)

I don't know how to do this question

51.

What is the surface area of the square pyramid?

a)

35 cm2

b)

40 cm2

c)

65 cm2

d)

105 cm2

e)

I don't know how to do this question

52.

What is the perimeter of the figure?

a)

56 in

b)

64 in

c)

80 in

d)

92

e)

I don't know how to do this question

53.

What is the total volume of the figure?

a)

162 ft3

b)

414 ft3

c)

462 ft3

d)

486 ft3

e)

I don't know how to do this question

54.

Jerry is ordering shingles for the roof of the storage building shown. A bundle of shingles covers 3 square yards of roof. How many bundles of shingles should Jerry order?

a)

96

b)

48

c)

32

d)

11

e)

I don't know how to do this question

55.

Find Gordon's average weekly earnings to the nearest cent.

a)

$311.25

b)

$315.45

c)

$328.95

d)

$339.15

e)

I don't know how to do this question

56.

A bag contains red, white, and green marbles. A marble is drawn at random from a bag, the color is recorded, and the marble is replaced. Based on the results, what is the probability of selecting a white marble?

a)

40%

b)

0.4%

c)

8%

d)

35%

e)

I don't know how to do this question

57.

A game is played by spinning a spinner and then, without looking, drawing a card. After each turn, the card is replaced and the cards are shuffled. Rounded to the nearest percent, what is the chance that a player will spin either a red or blue and then draw a 5?

a)

4%

b)

5%

c)

14%

d)

17%

e)

I don't know how to do this question

58.

Estimate the difference in sales from Year 4 to Year 5.

a)

$200,000

b)

$250,000

c)

$300,000

d)

$500,000

e)

I don't know how to do this question

59.

A high school has received $56,000 in donations and grants to build a new computer lab. The graph shows how the school plans to spend the money. How much money is budgeted to buy computers?

a)

$1,302

b)

$24,080

c)

$28,000

d)

$130,233

e)

I don't know how to do this question

60.
Find the area of the shaded region.
a)
334 km2
b)
345 km2
c)
344 km2
d)
433 km2

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