Trade Mathematics Course: Measurement, conversions and scale drawings

1. Pytanie 1 z 15

   How many millimetres are in exactly 1 inch?

   • A25 mm
   • B30.48 mm
   • C2.54 mm
   • D25.4 mm
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   Odpowiedź: D. 25.4 mm

   In Canadian law, 1 inch is 1/36 of a yard and 1 yard is 0.9144 m, which makes 1 in exactly 25.4 mm (2.54 cm).

2. Pytanie 2 z 15

   A stud is 8 ft long. About how long is it in metres? (1 ft = 0.3048 m)

   • A2.03 m
   • B2.44 m
   • C3.15 m
   • D26.25 m
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   Odpowiedź: B. 2.44 m

   Multiply feet by 0.3048: 8 × 0.3048 = 2.4384, about 2.44 m.

3. Pytanie 3 z 15

   A steel plate is 3/8 in thick. What is this in millimetres, to one decimal place?

   • A14.8 mm
   • B9.5 mm
   • C0.9 mm
   • D3.8 mm
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   Odpowiedź: B. 9.5 mm

   3/8 = 0.375 in. 0.375 × 25.4 = 9.525, about 9.5 mm.

4. Pytanie 4 z 15

   A door opening is 1,830 mm high. What is this in feet and inches, to the nearest inch?

   • A6 ft 1 in
   • B6 ft 0 in
   • C18 ft 3 in
   • D5 ft 11 in
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   Odpowiedź: B. 6 ft 0 in

   1,830 ÷ 25.4 = 72.05 in, about 72 in. 72 ÷ 12 = 6, so it is 6 ft 0 in.

5. Pytanie 5 z 15

   About how many square feet are in 1 square metre?

   • A10.76 ft²
   • B3.28 ft²
   • C9 ft²
   • D1.20 ft²
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   Odpowiedź: A. 10.76 ft²

   1 m = 3.2808 ft, so 1 m² = 3.2808 × 3.2808 = 10.76 ft². Square the length factor for areas.

6. Pytanie 6 z 15

   How many cubic feet are in 1 cubic yard?

   • A3 ft³
   • B36 ft³
   • C9 ft³
   • D27 ft³
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   Odpowiedź: D. 27 ft³

   1 yd = 3 ft, so 1 yd³ = 3 × 3 × 3 = 27 ft³. (9 is the number of square feet in a square yard.)

7. Pytanie 7 z 15

   About how many cubic metres are in 1 cubic yard? (1 yd = 0.9144 m)

   • A0.84 m³
   • B0.91 m³
   • C1.31 m³
   • D0.76 m³
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   Odpowiedź: D. 0.76 m³

   Cube the length: 0.9144 × 0.9144 × 0.9144 = 0.7646, about 0.76 m³.

8. Pytanie 8 z 15

   A tank holds 20 Canadian (imperial) gallons. How many litres is that, to one decimal place? (1 gallon = 4.54609 L)

   • A75.7 L
   • B4.4 L
   • C90.9 L
   • D9.1 L
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   Odpowiedź: C. 90.9 L

   Multiply gallons by 4.54609: 20 × 4.54609 = 90.9 L.

9. Pytanie 9 z 15

   A bag of mortar mix weighs 50 lb. What is this in kilograms, to one decimal place? (1 lb = 0.45359237 kg)

   • A110.2 kg
   • B25.0 kg
   • C45.4 kg
   • D22.7 kg
   Pokaż odpowiedź

   Odpowiedź: D. 22.7 kg

   Multiply pounds by 0.45359237: 50 × 0.4536 = 22.7 kg.

10. Pytanie 10 z 15

    A floor plan is drawn at a scale of 1:50. A wall measures 84 mm on the plan. How long is the real wall?

    • A42 m
    • B0.42 m
    • C4.2 m
    • D1.68 m
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    Odpowiedź: C. 4.2 m

    At 1:50, every unit on the plan is 50 real units: 84 × 50 = 4,200 mm = 4.2 m.

11. Pytanie 11 z 15

    A drawing uses the scale 1/4 in = 1 ft. A line on it measures 6 1/2 in. How long is the real object?

    • A13 ft
    • B6.5 ft
    • C26 ft
    • D1 5/8 ft
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    Odpowiedź: C. 26 ft

    Each 1/4 in is 1 ft, so there are 4 ft in every inch: 6.5 × 4 = 26 ft.

12. Pytanie 12 z 15

    A beam is 7.5 m long. How long should it be drawn on a 1:100 plan?

    • A7.5 mm
    • B75 mm
    • C0.75 mm
    • D750 mm
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    Odpowiedź: B. 75 mm

    7.5 m = 7,500 mm. At 1:100, divide by 100: 7,500 ÷ 100 = 75 mm.

13. Pytanie 13 z 15

    You need 15 m of conduit. About how many feet is that, to one decimal place?

    • A59.1 ft
    • B45.7 ft
    • C4.6 ft
    • D49.2 ft
    Pokaż odpowiedź

    Odpowiedź: D. 49.2 ft

    Divide metres by 0.3048 to get feet: 15 ÷ 0.3048 = 49.2 ft.

14. Pytanie 14 z 15

    On a 1:20 detail drawing, a part measures 135 mm. How long is the real part?

    • A0.27 m
    • B2.7 m
    • C6.75 m
    • D27 m
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    Odpowiedź: B. 2.7 m

    Multiply by the scale: 135 × 20 = 2,700 mm = 2.7 m.

15. Pytanie 15 z 15

    A room is 12 ft by 15 ft. What is its floor area in square metres, to one decimal place?

    • A18.0 m²
    • B1,937.5 m²
    • C54.9 m²
    • D16.7 m²
    Pokaż odpowiedź

    Odpowiedź: D. 16.7 m²

    Area = 12 × 15 = 180 ft². 1 ft² = 0.3048 × 0.3048 = 0.0929 m², so 180 × 0.0929 = 16.7 m².

Klawiatura: 1–4, aby odpowiedzieć, Enter – następne pytanie.