Unit 1 Practice Quiz

1. Convert 3.2 kilometres to metres.
2. Convert 640 milliliters to litres.
3. 6 feet 5 inches is what in metres? (Round to the nearest hundredth)
4. 50 degrees Fahrenheit is equal to          degrees Celsius.
5. If Harjinder buys 2.3 tonnes of cement for a job, he has bought          pounds. (Round to the nearest hundredth)
6. Water boils at 100 degrees Celsius or degrees         Fahrenheit (At sea level).
7. 256 psi is the equivalent of          kilopascals. (Round to the nearest tenth)
8. How many feet is Denver (the mile-high city) above sea level?
   1. 5280 ft
   2. 5820 ft
   3. No one really knows for sure.
   4. 450 ft
9. Water freezes at what temperature in Fahrenheit?
   1. 0
   2. 32
   3. 23
   4. −40

Answers

1. 3200 metres
2. 0.64 litres
3. 1.96 metres
4. 10
5. 5070.63
6. 212
7. 1765
8. A
9. B

Unit 2 Practice Quiz

1. 11 = x − 3
   1. x = 7
   2. x = 14
   3. x = 21
   4. x = 10
2. 3Y = 123
   1. 14
   2. 41
   3. 36
   4. 63
3. Using the formula P = EI, calculate the power in watts for a range that has 24 A and 220 V.
   1. 5280 Watts
   2. 1200 Watts
   3. 2600 Watts
   4. 5820 Watts
4. Use the formula F= 9/5(C + 32). Convert 175 degrees Celsius to Fahrenheit.
   1. 337 degrees
   2. 372.6 degrees
   3. 378.8 degrees
   4. 388.8 degrees
5. Use the formula A = (pi)r². Determine the radius in centimetres of a circle with an area of 255 cm².
   1. 71.6 cm
   2. 81.16 cm
   3. 9 cm
   4. 18.17 cm
6. 15 = 29 − (2x)
   1. x = 7
   2. x = 5
   3. x = 14
   4. x = −7
7. C = π42. What is C?
   1. 133.648
   2. 131.946
   3. 131.947
   4. 131.946
8. 2[13 + (8 – 5)] = x. What is x?
   1. 52
   2. 32
   3. 23
   4. 43
9. N + 2(3 – 1) = 8. What is N?
   1. 2
   2. 0
   3. 4
   4. 6
10. 27 = 8(n + 3). What is n?
    1. 2
    2. 3/4
    3. 3/8
    4. 3/16

Answers

1. B
2. B
3. A
4. B
5. C
6. A
7. C
8. B
9. C
10. D

Unit 3 Practice Quiz

1. A construction site 27 m by 76 m must be fenced in before excavation starts. How many metres of fencing are required to enclose it?
   1. 2052 m
   2. 103 m
   3. 206 m
   4. 309 m
2. A contractor is deciding which floor covering to use in the room shown below. Cork floor tiles 0.25 m by 0.25 m cost $1.10 each, and carpeting costs $16.95 a square metre. Floor tiles would be cheaper than carpet. True or false?
3. A rectangular panel measuring 36 inches × 18 inches has two holes 6 inches in diameter to receive stereo speakers and a rectangular opening 8 inches × 10 inches for a rear window defroster. What is the surface area of the panel after the holes have been cut to the nearest square inch?
   1. 511 square inch
   2. 540 square inch
   3. 560 square inch
   4. 584 square inch
4. The cylindrical water tank servicing a construction site must be erected on a wooden cradle and fastened by three metal straps around the outside. If the tank is 44 inches in diameter, what is the total length of metal required for the straps, to the nearest 1/16 inch?
   1. 138.25 inches
   2. 276.5 inches
   3. 453.56 inches
   4. 414.67 inches
5. A circle and a triangle with a base of 9 in. both have an area of 28.2744 in². The diameter of the circle is greater than the altitude of the triangle. True or false?
6. What is the area of a triangle with base of 21.5 inches and an altitude (or height) of 8 inches?
   1. 44 in²
   2. 172 in²
   3. 104 in²
   4. 86 in²
7. How much ceiling trim is required for the perimeter of the room shown in Figure 1?
   

   

   1. 12.4 m
   2. 18.5 m
   3. 24.8 m
   4. 32.5 m
8. A DC generator contains four brush assemblies, with each assembly containing six brushes. The surface of each brush is 0.065 m by 0.025 m. Calculate in square metres the total surface area of all the brushes.
   1. 0.028 m²
   2. 0.039 m²
   3. 0.0016 m²
   4. 0.0098 m²

9. 

   Calculate the cost of all moulding needed to go around the window in the figure, if the cost per metre is $6.50. Round your answer to the nearest cent.

   1. $12.70
   2. $25.40
   3. $15.55
   4. $10.85
10. A rectangular steel bar has a cross sectional area of 468 mm2 . The bar is to be reformed into a triangular-shaped bar with the same cross-sectional area. If the height of the triangle is 36 mm, what is the length of the base?
    1. 22 mm
    2. 26 mm
    3. 28 mm
    4. 32 mm

Answers

1. C
2. False
3. A
4. D
5. True
6. D
7. C
8. B
9. A
10. A

Unit 4 Practice Quiz

1. A solvent tank measures 135 cm × 50 cm × 45 cm. To the nearest litre, how many litres of solvent will it take to fill it three-quarters full? (1 cm³ equals 1 mL)
   1. 228 L
   2. 304 L
   3. 508 L
   4. 104 L
2. A truck has a cylindrical air pressure reservoir for its air brake system with an outside diameter of 39 cm and an outside length of 84 cm. What is the internal volume of the reservoir in cubic centimetres if the cylinder walls are 0.5 cm thick?
   1. 95,266 cm³
   2. 88,463 cm³
   3. 100,346 cm³
   4. 122,863 cm³
3. A cleaning tank for small parts measures 15 cm by 35 cm by 12 cm deep. The tank has a fill line 4 cm from the top. How many litres of cleaning fluid will the tank hold if filled to the fill line? (1 cm³ = 1 mL)
   1. 6.3 L
   2. 4.2 L
   3. 3.8 L
   4. 5.8 L
4. The diameter of an underground tank is 2.6 metres and is 7 metres in length. How many gallons will the tank hold? (Round to the nearest gallon.)
5. A room 10 ft wide, 8 ft high, and 14 ft long will hold          cubic metres of air.
6. A solvent tank measures 140 cm × 50 cm × 30 cm.  To the nearest litre, how many litres of solvent will it take to fill it to three quarters full? (1 cm³ equals 1 mL)
7. A pipe has an inside diameter of 2 inches and is 10 feet in length. If one end was plugged, the pipe would hold          gallons. (Round to the nearest tenth.)
8. 50 ounces is equal to          litres. (Round to the nearest tenth.)
9. 5 gallons is          litres. (Round to the nearest tenth.)
10. 8 cubic feet is the same as          cubic metres. (Round to the nearest hundredth.)

Answers

1. A
2. A
3. B
4. 9818
5. 31.7
6. 157.5 L
7. 1.6
8. 1.5
9. 18.9
10. 0.23

Practice Test

1. Convert 3.2 km to metres.
2. Convert 640 milliliters to litres.
3. 6 ft 5 inches is what in metres. (Round to the nearest hundredth)
4. 50 degrees Fahrenheit is equal to          degrees Celsius.
5. If Harjinder buys 2.3 tonnes of cement for a job, he has bought          pounds. (Round to the nearest hundredth)
6. Water boils at 100 degrees Celsius or          degrees Fahrenheit (At sea level).
7. 256 psi is the equivalent of          kilopascals. (Round to the nearest tenth)
8. How many feet is Denver (the mile high city) above sea level?
   1. 5280 ft
   2. 5820 ft
   3. No one really knows for sure.
   4. 450 ft
9. Water freezes at what temperature in Fahrenheit?
   1. 0
   2. 32
   3. 23
   4. −40
10. 11 = x − 3
    1. x = 7
    2. x = 14
    3. x = 21
    4. x = 10
11. 3Y = 123
    1. Y = 14
    2. Y = 41
    3. Y = 36
    4. Y = 63
12. Using the formula P = EI. Calculate the power in watts for a range that has 24 A and 220 V.
    1. 5280 Watts
    2. 1200 Watts
    3. 2600 Watts
    4. 5820 Watts
13. Use the formula F= 9/5(C + 32). Convert 175 degrees Celsius to Fahrenheit.
    1. 337 degrees
    2. 372.6 degrees
    3. 378.8 degrees
    4. 388.8 degrees
14. Use the formula A = πr². Determine the radius in centimetres of a circle with an area of 255 cm².
    1. 71.6 cm
    2. 81.16 cm
    3. 9 cm
    4. 18.17 cm
15. 15 = 29 − (2x)
    1. x = 7
    2. x = 5
    3. x = 14
    4. x = −7
16. C = π42. What is C?
    1. 133.648
    2. 131.946
    3. 131.947
    4. 131.946
17. 2[13 + (8 – 5)] = x. What is x?
    1. 52
    2. 32
    3. 23
    4. 43
18. N + 2(3 − 1) = 8. What is N?
    1. 2
    2. 0
    3. 4
    4. 6
19. 27 = 8(n + 3). What is n?
    1. 2
    2. 3/4
    3. 3/8
    4. 3/16
20. A construction site 27 m by 76 m must be fenced in before excavation starts. How many metres of fencing are required to enclose it?
    1. 2052 m
    2. 103 m
    3. 206 m
    4. 309 m
21. A contractor is deciding which floor covering to use in the room shown below. Cork floor tiles 0.25 m by 0.25 m cost $1.10 each, and carpeting costs $16.95 a square metre. Floor tiles would be cheaper than carpet. True or false?
22. A rectangular panel measuring 36 inches × 18 inches has two holes 6 inches in diameter to receive stereo speakers and a rectangular opening 8 inches × 10 inches for a rear window defroster. What is the surface area of the panel after the holes have been cut to the nearest square inch?
    1. 511 square inch
    2. 540 square inch
    3. 560 square inch
    4. 584 square inch
23. The cylindrical water tank servicing a construction site must be erected on a wooden cradle and fastened by three metal straps around the outside. If the tank is 4 inches in diameter, what is the total length of metal required for the straps, to the nearest 1/16 inch?
    1. 138.25 inches
    2. 276.5 inches
    3. 453.56 inches
    4. 414.67 inches
24. A circle and a triangle with a base of 9 in. both have an area of 28.2744 in². The diameter of the circle is greater than the altitude of the triangle. True or false?
25. What is the area of a triangle with base of 21.5 inches and an altitude (or height) of 8 inches?
    1. 44 in²
    2. 172 in²
    3. 104 in²
    4. 86 in²
26. How much ceiling trim is required for the perimeter of the room shown in the Figure 2?
    

    

    1. 12.4 m
    2. 18.5 m
    3. 24.8 m
    4. 32.5 m
27. A DC generator contains four brush assemblies, with each assembly containing six brushes. The surface of each brush is 0.065 m by 0.025 m. Calculate in square metres the total surface area of all the brushes.
    1. 0.028 m²
    2. 0.039 m²
    3. 0.0016 m²
    4. 0.0098 m²

28. 

    Calculate the cost of all moulding needed to go around the window in the figure, if the cost per metre is $6.50. Round your answer to the nearest cent.

    1. $12.70
    2. $25.40
    3. $15.55
    4. $10.85
29. A rectangular steel bar has a cross sectional area of 468 mm2 . The bar is to be reformed into a triangular-shaped bar with the same cross-sectional area. If the height of the triangle is 36 mm, what is the length of the base?
    1. 22 mm
    2. 26 mm
    3. 28 mm
    4. 32 mm
30. A solvent tank measures 135 cm × 50 cm × 45 cm. To the nearest litre, how many litres of solvent will it take to fill it three-quarters full? (1 cm³ equals 1 mL)
    1. 228 L
    2. 304 L
    3. 508 L
    4. 104 L
31. A truck has a cylindrical air pressure reservoir for its air brake system with an outside diameter of 39 cm and an outside length of 84 cm. What is the internal volume of the reservoir in cubic centimetres if the cylinder walls are 0.5 cm thick?
    1. 95,266 cm³
    2. 88,463 cm³
    3. 100,346 cm³
    4. 122,863 cm³
32. A cleaning tank for small parts measures 15 cm by 35 cm by 12 cm deep. The tank has a fill line 4 cm from the top. How many litres of cleaning fluid will the tank hold if filled to the fill line? (1 cm³ = 1 mL)
    1. 6.3 L
    2. 4.2 L
    3. 3.8 L
    4. 5.8 L
33. The diameter of an underground tank is 2.6 metres, and is 7 metres in length. The tank will hold          gallons. (Round to the nearest gallon)
34. A room 10 ft wide, 8 ft high, and 14 ft long will hold          cubic metres of air.
35. A solvent tank measures 140 cm × 50 cm × 30 cm.  To the nearest litre, how many litres of solvent will it take to fill it to three quarters full? (1 cm³ equals 1 mL)
36. A pipe has an inside diameter of 2 inches and is 10 feet in length.  If one end was plugged the pipe would hold          gallons. (Round to the nearest tenth)
37. 50 ounce is equal to          litre. (Round to the nearest tenth)
38. 5 gallons is          litres, (Round to the nearest tenth)
39. 8 cubic feet is the same as          cubic metres. (Round to the nearest hundredth)

Answers

1. 3200 m
2. 0.64 litres
3. 1.96 metres
4. 10
5. 5070.63
6. 212
7. 1765
8. A
9. B
10. B
11. B
12. A
13. B
14. C
15. A
16. C
17. B
18. C
19. C
20. C
21. False
22. A
23. D
24. True
25. D
26. C
27. B
28. A
29. A
30. A
31. A
32. B
33. 9818
34. 31.7
35. 157.5 L
36. 1.6
37. 1.5
38. 18.9
39. 0.23

Image Descriptions

Figure 1 image description: the shape of the ceiling looks like a rectangle that was cut into a L-shaped polygon. The length of the rectangle is 7.2 metres, and its width is 5.2 metres. After the top right corner was cut off from the rectangle, the top width of the L shape is 2.5 metres, and its right length is 3.6 metres. [Return to Figure 1]

Figure 2 image description: the shape of the ceiling looks like a rectangle that was cut into a L-shaped polygon. The length of the rectangle is 7.2 metres, and its width is 5.2 metres. After the top right corner was cut off from the rectangle, the top width of the L shape is 2.5 metres, and its right length is 3.6 metres. [Return to Figure 2]