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| 1 | |
Rebecca plans to build a patio measuring 4 m by 6 m using square patio blocks. She needs 150 blocks. What is the side length of each block, in centimetres? |
| | A) | 6.25 cm |
| | B) | 40 cm |
| | C) | 50 cm |
| | D) | 1600 cm |
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| 2 | |
Pietro’s kitchen floor measures 12 ft by 10 ft. He has 2 L of polyurethane, and 1 L covers 7 m2. How much polyurethane will he have left after sealing the kitchen floor? |
| | A) | None. He does not have enough to cover the kitchen floor. |
| | B) | None. He has exactly enough to cover the kitchen floor. |
| | C) | About 0.4 L. |
| | D) | About 0.8 L. |
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| 3 | |
A grain storage bin is in the shape of a rectangular prism measuring 90 ft by 12 ft by 12 ft. Triple Q Farms has harvested 300 m3 of soybeans. How much space will be left in the bin after storing the soybeans? |
| | A) | None. The bin cannot hold 300 m3 of soybeans. |
| | B) | None. The capacity of the bin is exactly 300 m3. |
| | C) | About 25 m3. |
| | D) | About 70 m3. |
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| 4 | |
A right conical hopper has a slant height of 4 m and a diameter of 3 m. What is the lateral surface area, to the nearest square metre?
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| | A) | 38 m2 |
| | B) | 19 m2 |
| | C) | 12 m2 |
| | D) | 6 m2 |
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| 5 | |
The Great Pyramid of Cheops at Giza in Egypt is a square-based pyramid. It has a slant height of about 187 m and a base length of about 230 m. What is the surface area of each triangular side, to the nearest square metre?
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| | A) | 21 505 m2 |
| | B) | 43 010 m2 |
| | C) | 86 020 m2 |
| | D) | 138 920 m2 |
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| 6 | |
An airport radar antenna is enclosed in a spherical shell of radius 12 m. What surface area needs to be painted to protect the shell from the weather, to the nearest square metre?
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| | A) | 151 m2 |
| | B) | 302 m2 |
| | C) | 1810 m2 |
| | D) | 7238 m2 |
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| 7 | |
A cylindrical silo has a height of 10 m and a diameter of 12 m. It has a hemispherical top. A can of paint covers 20 m2. How many cans must be purchased to paint the lateral surface and top of the silo? |
| | A) | 12 |
| | B) | 19 |
| | C) | 31 |
| | D) | 61 |
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| 8 | |
Two cylindrical pop cans have the same radius. The height of the larger can is 1.5 times the height of the smaller can. What is the ratio of the volume of the larger can to the volume of the smaller can?
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| | A) | 1.5:1 |
| | B) | 2.25:1 |
| | C) | 3:1 |
| | D) | 4.5:1 |
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| 9 | |
The volume of a hot air balloon can be approximated by assuming a spherical shape. The volume is 14 000 3. What is the radius of the balloon, to the nearest metre?
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| | A) | 5 m |
| | B) | 10 m |
| | C) | 15 m |
| | D) | 20 m |
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| 10 | |
A right cylinder has a diameter of 10 cm and a height of 20 cm. A right cone has the same diameter, but twice the height. What is the ratio of the volume of the cone to the volume of the cylinder? |
| | A) | 1:1 |
| | B) | 2:3 |
| | C) | 3:2 |
| | D) | 1:3 |
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