Trade Mathematics Course: Perimeter, area and volume

1. السؤال 1 من 15

   A rectangular room is 4.2 m by 3.6 m. What is its perimeter?

   • A31.2 m
   • B15.12 m
   • C15.6 m
   • D7.8 m
   أظهر الإجابة

   الإجابة: C. 15.6 m

   Perimeter = 2 × (length + width) = 2 × (4.2 + 3.6) = 15.6 m. (15.12 is the area in m².)

2. السؤال 2 من 15

   A room is 14 ft by 11 ft. Baseboard goes around the room except across a 3 ft doorway. How much baseboard is needed?

   • A25 ft
   • B47 ft
   • C50 ft
   • D44 ft
   أظهر الإجابة

   الإجابة: B. 47 ft

   Perimeter = 2 × (14 + 11) = 50 ft. Take away the doorway: 50 − 3 = 47 ft.

3. السؤال 3 من 15

   A wall is 16 ft long and 8 ft high. It has one window 3 ft wide and 4 ft high. What wall area needs drywall?

   • A116 ft²
   • B140 ft²
   • C128 ft²
   • D121 ft²
   أظهر الإجابة

   الإجابة: A. 116 ft²

   Wall = 16 × 8 = 128 ft². Window = 3 × 4 = 12 ft². 128 − 12 = 116 ft².

4. السؤال 4 من 15

   A triangular gable end has a base of 24 ft and a height of 6 ft. What is its area?

   • A30 ft²
   • B36 ft²
   • C72 ft²
   • D144 ft²
   أظهر الإجابة

   الإجابة: C. 72 ft²

   Triangle area = base × height ÷ 2 = 24 × 6 ÷ 2 = 72 ft².

5. السؤال 5 من 15

   A round duct has a diameter of 6 in. What is the area of its opening, to two decimal places?

   • A9.42 in²
   • B28.27 in²
   • C18.85 in²
   • D113.10 in²
   أظهر الإجابة

   الإجابة: B. 28.27 in²

   Circle area = π × radius². The radius is half the diameter (3 in): 3.1416 × 3 × 3 = 28.27 in².

6. السؤال 6 من 15

   A pipe has an outside diameter of 4.5 in. A welder runs one pass all the way around it. About how long is the weld?

   • A7.07 in
   • B15.90 in
   • C14.14 in
   • D28.27 in
   أظهر الإجابة

   الإجابة: C. 14.14 in

   The distance around a circle is the circumference = π × diameter = 3.1416 × 4.5 = 14.14 in.

7. السؤال 7 من 15

   A concrete slab is 6 m long, 4 m wide and 100 mm thick. What is its volume?

   • A2.4 m³
   • B0.24 m³
   • C24 m³
   • D240 m³
   أظهر الإجابة

   الإجابة: A. 2.4 m³

   Change 100 mm to 0.1 m first. Volume = 6 × 4 × 0.1 = 2.4 m³.

8. السؤال 8 من 15

   A slab is 20 ft by 12 ft and 4 in thick. How many cubic yards of concrete is that, to two decimal places?

   • A26.67 yd³
   • B8.89 yd³
   • C35.56 yd³
   • D2.96 yd³
   أظهر الإجابة

   الإجابة: D. 2.96 yd³

   4 in = 1/3 ft, so the volume is 20 × 12 × 1/3 = 80 ft³. Divide by 27 ft³ per cubic yard: 80 ÷ 27 = 2.96 yd³.

9. السؤال 9 من 15

   A strip footing is 30 m long, 600 mm wide and 250 mm deep. What volume of concrete does it need?

   • A4.5 m³
   • B0.45 m³
   • C450 m³
   • D45 m³
   أظهر الإجابة

   الإجابة: A. 4.5 m³

   Use metres: 30 × 0.6 × 0.25 = 4.5 m³.

10. السؤال 10 من 15

    A round concrete column form has a diameter of 300 mm and is 2.4 m tall. What volume does it hold, to two decimal places?

    • A0.22 m³
    • B0.68 m³
    • C2.26 m³
    • D0.17 m³
    أظهر الإجابة

    الإجابة: D. 0.17 m³

    Cylinder volume = π × radius² × height. Radius = 0.15 m: 3.1416 × 0.15 × 0.15 × 2.4 = 0.17 m³.

11. السؤال 11 من 15

    A rectangular tank is 1.2 m long, 0.8 m wide and 0.5 m deep. How many litres does it hold when full? (1 L = 1/1,000 m³)

    • A480 L
    • B48 L
    • C0.48 L
    • D4,800 L
    أظهر الإجابة

    الإجابة: A. 480 L

    Volume = 1.2 × 0.8 × 0.5 = 0.48 m³. Each cubic metre is 1,000 L, so 0.48 × 1,000 = 480 L.

12. السؤال 12 من 15

    An L-shaped floor fits inside a 10 m by 8 m rectangle, with a 4 m by 3 m corner missing. What is the floor area?

    • A68 m²
    • B92 m²
    • C80 m²
    • D76 m²
    أظهر الإجابة

    الإجابة: A. 68 m²

    Find the full rectangle and subtract the missing corner: 10 × 8 − 4 × 3 = 80 − 12 = 68 m².

13. السؤال 13 من 15

    A water line is 50 m long with an inside diameter of 50 mm. About how many litres of water does it hold?

    • A98.2 L
    • B9.8 L
    • C7,854.0 L
    • D392.7 L
    أظهر الإجابة

    الإجابة: A. 98.2 L

    Radius = 25 mm = 0.025 m. Volume = 3.1416 × 0.025² × 50 = 0.0982 m³, and 0.0982 × 1,000 = 98.2 L.

14. السؤال 14 من 15

    A room is 5 m by 4 m, with walls 2.4 m high. What is the total area of the four walls (ignore doors and windows)?

    • A21.6 m²
    • B43.2 m²
    • C63.2 m²
    • D48.0 m²
    أظهر الإجابة

    الإجابة: B. 43.2 m²

    Wall area = perimeter × height = 2 × (5 + 4) × 2.4 = 18 × 2.4 = 43.2 m².

15. السؤال 15 من 15

    A trench is 40 ft long, 2 ft wide and 18 in deep. How many cubic yards of gravel will fill it, to two decimal places?

    • A13.33 yd³
    • B53.33 yd³
    • C6.67 yd³
    • D4.44 yd³
    أظهر الإجابة

    الإجابة: D. 4.44 yd³

    18 in = 1.5 ft. Volume = 40 × 2 × 1.5 = 120 ft³. 120 ÷ 27 = 4.44 yd³.

لوحة المفاتيح: 1–4 للإجابة، وEnter للسؤال التالي.