CAEC: Math: geometry and measurement

All 20 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

1. What is the surface area of a cube with edges of 4 cm?

   1. 64 cm²
   2. 96 cm²
   3. 48 cm²
   4. 16 cm²

2. How many 300 g servings are in a 2.4 kg bag of oats?

   1. 0.8
   2. 12
   3. 8
   4. 80

3. What is the area of a rectangular floor 12 m long and 8 m wide?

   1. 192 m²
   2. 20 m²
   3. 96 m²
   4. 40 m²

4. A 1.8 m person casts a 1.2 m shadow. At the same time a tree casts a 15 m shadow. How tall is the tree?

   1. 16.2 m
   2. 27 m
   3. 22.5 m
   4. 10 m

5. Convert 3.6 kilometres to metres.

   1. 3 600 m
   2. 0.0036 m
   3. 360 m
   4. 36 000 m

6. Using π ≈ 3.14, what is the circumference of a wheel with a diameter of 28 cm?

   1. 43.96 cm
   2. 175.84 cm
   3. 615.44 cm
   4. 87.92 cm

7. An L-shaped room is a 10 m × 6 m rectangle with a 4 m × 3 m corner cut out. What is its area?

   1. 60 m²
   2. 72 m²
   3. 39 m²
   4. 48 m²

8. One inch is 2.54 cm. How many centimetres long is a 12-inch ruler?

   1. 14.54 cm
   2. 30.48 cm
   3. 304.8 cm
   4. 4.72 cm

9. Using π ≈ 3.14, what is the area of a circular table with a radius of 5 dm?

   1. 314 dm²
   2. 31.4 dm²
   3. 78.5 dm²
   4. 15.7 dm²

10. Baseboard is needed around a 5 m by 4 m room, except for a 1 m doorway. How many metres are needed?

    1. 20 m
    2. 19 m
    3. 18 m
    4. 17 m

11. A rectangular park is 40 m by 30 m. How long is the diagonal path from one corner to the opposite corner?

    1. 50 m
    2. 60 m
    3. 35 m
    4. 70 m

12. How much wrapping paper covers a box 8 cm × 5 cm × 3 cm exactly, with no overlap?

    1. 79 cm²
    2. 158 cm²
    3. 240 cm²
    4. 120 cm²

13. A photo 4.5 cm wide is enlarged by a scale factor of 3. How wide is the enlargement?

    1. 7.5 cm
    2. 1.5 cm
    3. 13.5 cm
    4. 12 cm

14. A fish tank is 50 cm long, 30 cm wide and 20 cm high. How many litres does it hold? (1 L = 1 000 cm³)

    1. 100 L
    2. 300 L
    3. 30 L
    4. 3 L

15. A triangle has a base of 10 cm and a height of 7 cm. What is its area?

    1. 24 cm²
    2. 70 cm²
    3. 17 cm²
    4. 35 cm²

16. One pound is about 0.4536 kg. To the nearest kilogram, what is the mass of a 150-pound person?

    1. 150 kg
    2. 60 kg
    3. 68 kg
    4. 331 kg

17. A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?

    1. 7 cm
    2. 48 cm
    3. 10 cm
    4. 14 cm

18. A 13 m ladder leans against a wall with its foot 5 m from the wall. How high up the wall does it reach?

    1. 8 m
    2. 18 m
    3. 12 m
    4. 13.9 m

19. Using π ≈ 3.14, what is the volume of a cylinder with radius 3 cm and height 10 cm?

    1. 188.4 cm³
    2. 282.6 cm³
    3. 94.2 cm³
    4. 904.3 cm³

20. A bottle holds 750 mL. How many litres is that?

    1. 0.075 L
    2. 0.75 L
    3. 7.5 L
    4. 75 L