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Geometry Word Problems Practice Questions Set 1

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Updated on Sep 26, 2011

Geometry Word Problems

The geometry problems in this set  involve lines, angles, triangles, rectangles, squares, and circles. You will learn how to find length, perimeter, area, circumference, and volume, and how you can apply geometry to everyday problems.

1. Charlie wants to know the area of his property, which measures 120 ft by 150 ft. Which formula will he use?
1. A = s2
2. A = π r2
3. A = bh
4. A = lw
2. Dawn wants to compare the volume of a basketball with the volume of a tennis ball. Which formula will she use?
1. V = π r2h
2. V = π r3
3. V = π r2h
4. V = s3
3. Rick is ordering a new triangular sail for his boat. He needs to know the area of the sail. Which formula will he use?
1. A = lw
2. A = bh
3. A = bh
4. A = h(b1 + b2)
4. Keith wants to know the surface area of a basketball. Which formula will he use?
1. s = 6s2
2. s = 4π r2
3. s = 2π r2 + 2π rh
4. s = π r2 + 2π rh
5. Aaron is installing a ceiling fan in his bedroom. Once the fan is in motion, he needs to know the area the fan will cover. Which formula will he use?
1. A = bh
2. A = s2
3. A = bh
4. A = π r2
6. Mimi is filling a tennis ball can with water. She wants to know the volume of the cylinder shaped can. What formula will she use?
1. V = π r2h
2. V = π r3
3. V = π r2h
4. V = s3
7. Audrey is creating a raised flowerbed that is 4.5 ft by 4.5 ft. She needs to calculate how much lumber to buy. If she needs to know the distance around the flowerbed, which formula is easiest to use?
1. P = a + b + c
2. A = lw
3. P = 4s
4. C = 2π r
8. Al is painting a right cylinder storage tank. In order to purchase the correct amount of paint he needs to know the total surface area to be painted. Which formula will he use if he does not paint the bottom of the tank?
1. S = 2πr2 + 2πrh
2. S = 4πr2
3. S = πr2 + 2πrh
4. S = 6s2
9. Cathy is creating a quilt out of fabric panels that are 6 in by 6 in. She wants to know the total area of her square-shaped quilt. Which formula will she use?
1. A = s2
2. A = bh
3. A = πr2
4. A = h(b1 + b2)
10. If Lisa wants to know the distance around her circular table, which has a diameter of 42 in, which formula will she use?
1. P = 4s
2. P = 2l + 2w
3. C = πd
4. P = a + b + c
11. Danielle needs to know the distance around a basketball court. Which geometry formula will she use?
1. P = 2l + 2w
2. P = 4s
3. P = a + b + c
4. P = b1 + b2 + h
12. To find the volume of a cube that measures 3 cm by 3 cm by 3 cm, which formula would you use?
1. V = πr2h
2. V = πr3
3. V = πr2h
4. V = s3
13. To find the perimeter of a triangular region, which formula would you use?
1. P = a + b + c
2. P = 4s
3. P = 2l + 2w
4. C = 2πr
14. A racquetball court is 40 ft by 20 ft. What is the area of the court in square feet?
1. 60 ft2
2. 80 ft2
3. 800 ft2
4. 120 ft2
15. Allan has been hired to mow the school soccer field, which is 180 ft wide by 330 ft long. If his mower mows strips that are 2 feet wide, how many times must he mow across the width of the lawn?
1. 90
2. 165
3. 255
4. 60
16. Erin is painting a bathroom with four walls each measuring 9 ft by 5.5 ft. Ignoring the doors or windows, what is the area to be painted?
1. 198 ft2
2. 66 ft2
3. 49.5 ft2
4. 160 ft2
17. The arm of a ceiling fan measures a length of 25 in. What is the area covered by the motion of the fan blades when turned on? (π = 3.14)
1. 246.49 in2
2. 78.5 in2
3. 1,962.5 in2
4. 157 in2
18. A building that is 45 ft tall casts a shadow that is 30 ft long. Nearby, Heather is walking her standard poodle, which casts a shadow that is 2.5 ft long. How tall is Heather's poodle?
1. 2.75 ft
2. 3.25 ft
3. 3.75 ft
4. 1.67 ft
19. A circular pool is filling with water. Assuming the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water needed to fill the pool? (π = 3.14)
1. 251.2 ft3
2. 1,256 ft3
3. 5,024 ft3
4. 3,140 ft3
20. A cable is attached to a pole 36 ft above ground and fastened to a stake 15 ft from the base of the pole. In order to keep the pole perpendicular to the ground, how long is the cable?
1. 22 ft
2. 39 ft
3. 30 ft
4. 51 ft

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