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Primary 5 Mathematics Measurement Quiz
Free P5 Maths Measurement quiz, GLM5.3 AI version, with questions, answers, and syllabus-aligned practice for Singapore students.
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Primary 5 Mathematics Quiz - Measurement: Answer Key
Answer 1.
(a) 4.05 km = 4050 m (1 km = 1000 m, so 4.05 × 1000) (b) 720 ml = 0.72 ℓ (1000 ml = 1 ℓ, so 720 ÷ 1000)
Marking note: 1 mark per part; deduct 1 mark if units are missing.
Answer 2.
(a) 3.6 kg = 3600 g (1 kg = 1000 g, so 3.6 × 1000) (b) 205 g = 0.205 kg (205 ÷ 1000)
Marking note: 1 mark per part; deduct 1 mark if units are missing.
Answer 3.
Area of triangle = ½ × base × height = ½ × 12 × 7 = 42 cm²
New-student note: A triangle is always half of the rectangle with the same base and height, which is why we multiply by ½.
Answer 4.
Volume of cuboid = length × breadth × height = 8 × 5 × 3 = 120 cm³
New-student note: Volume tells us how many 1-cm cubes fill the box — multiply the three dimensions.
Answer 5.
1 ℓ = 1000 cm³ 2.4 ℓ = 2.4 × 1000 = 2400 cm³
New-student note: Litres and cubic centimetres measure the same thing (capacity); 1 ℓ of liquid exactly fills a 10 cm × 10 cm × 10 cm cube.
Answer 6.
Area = ½ × base × height 36 = ½ × 12 × height 36 = 6 × height Height = 36 ÷ 6 = 6 cm
Marking note: 1 mark for correct formula/rearrangement, 1 mark for method, 1 mark for answer with units.
Answer 7.
- Rectangle: 10 × 6 = 60 cm²
- Triangle: ½ × 10 × 4 = 20 cm²
- Total area = 60 + 20 = 80 cm²
New-student note: Split the house shape into two familiar shapes — the rectangle below and the triangle on top — find each area, then add.
Answer 8.
(a) Volume = 50 × 30 × 40 = 60000 cm³ (b) 60000 ÷ 1000 = 60 ℓ
Marking note: 2 marks for (a) (1 for method, 1 for answer), 1 mark for (b).
Answer 9.
Count the cubes layer by layer:
- Bottom layer: 4 × 2 = 8 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes Total = 8 + 4 + 2 = 14 cubes Volume = 14 cm³
New-student note: Each 1-cm cube has a volume of 1 cm³, so counting the cubes gives the volume directly.
Answer 10.
(a) Area = ½ × 2.5 × 1.8 = 2.25 m² (b) New base = 2 × 2.5 = 5 m Area = ½ × 5 × 1.8 = 4.5 m²
New-student note: Doubling the base while keeping the height the same doubles the area — area and base are directly proportional.
Answer 11.
(a) Volume of water = 40 × 25 × 12 = 12000 cm³ = 12000 ÷ 1000 = 12 ℓ (b) Empty height = 20 − 12 = 8 cm Volume of empty space = 40 × 25 × 8 = 8000 cm³ = 8 ℓ
Marking note: 2 marks per part (1 for method, 1 for answer with correct unit conversion).
Answer 12.
- Area of full rectangle: 12 × 8 = 96 cm²
- Area of cut-out triangle: ½ × 3 × 8 = 12 cm²
- Remaining area = 96 − 12 = 84 cm²
New-student note: For "cut-away" problems, find the original area, find the area of the piece removed, then subtract.
Answer 13.
Volume of water = 30 × 20 × 15 = 9000 cm³ Base area of tank = 50 × 40 = 2000 cm² Depth of water = 9000 ÷ 2000 = 4.5 cm
New-student note: The water keeps its volume when poured. Depth = volume ÷ base area of the new container.
Answer 14.
(a) 3.5 m = 350 cm 350 ÷ 40 = 8 remainder 30 8 complete pieces (b) Leftover = 350 − (8 × 40) = 350 − 320 = 30 cm
Marking note: 2 marks per part. In (a), accept only the whole-number quotient; the remainder is used in (b).
Answer 15.
(a) Breadth = 96 ÷ 12 = 8 cm (b) Perimeter = 2 × (12 + 8) = 2 × 20 = 40 cm
New-student note: Area = length × breadth, so breadth = area ÷ length. Perimeter is the total distance around: 2 × (length + breadth).
Answer 16.
(a) Water after 8 minutes = 3 × 8 = 24 ℓ (b) 24 ℓ = 24000 cm³ Height = 24000 ÷ (60 × 40) = 24000 ÷ 2400 = 10 cm
Marking note: 2 marks for (a), 3 marks for (b) (1 for conversion to cm³, 1 for method, 1 for answer).
Answer 17.
- Cuboid: 10 × 6 × 4 = 240 cm³
- Cube: 6 × 6 × 6 = 216 cm³
- Total volume = 240 + 216 = 456 cm³
New-student note: When two solids share a whole face, they touch but do not overlap, so the total volume is simply the sum of both volumes.
Answer 18.
(a) 144 ℓ = 144000 cm³ Depth = 144000 ÷ (80 × 50) = 144000 ÷ 4000 = 36 cm (b) Capacity of tank = 80 × 50 × 60 = 240000 cm³ = 240 ℓ More water needed = 240 − 144 = 96 ℓ
Marking note: 3 marks for (a), 2 marks for (b). Watch for students forgetting the ℓ-to-cm³ conversion in (a).
Answer 19.
(a) Area of A = ½ × 30 × 24 = 360 cm² (b) Area of B = ½ × 45 × 24 = 540 cm² (c) Total area = 360 + 540 = 900 cm²
New-student note: Both triangles have the same height, so B is larger only because its base is longer. Add the two areas for the total.
Answer 20.
(a) Length of base = 34 − 4 − 4 = 26 cm (b) Height of box = 4 cm Volume = 26 × 26 × 4 = 2704 cm³
New-student note: Cutting a 4-cm square from each corner removes 4 cm from both ends of each side, so subtract 4 twice. The height of the folded box equals the side of the cut-out square.


