How is paper 2 different from paper 1?

Paper 1 focused on direct volume, reverse edge length and telling volume apart from surface area; paper 2 adds layer counting, filling to a fraction, cutting with a remainder and joined solids.

Why mention the leftover 1 cm?

5 ÷ 2 leaves a remainder, so the last 1 cm cannot make a full cube; answering 24 without the remainder is an incomplete method.

Primary 5 Maths: Volume of Cuboids and Cubes — Practice Paper 2 (10 Questions)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 2 starts from counting layers and only then uses the formula: litre conversion, tanks filled to a fraction, cutting with a remainder and joined solids are the variations school tests use.

Quick answer　10 questions, about 25 minutes. Items 07 to 09 involve litres, cutting or joining and take more steps; mark after finishing.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 questions
Suggested time	25 minutes
Difficulty mix	Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter	Chapter: Primary 5 Maths: Volume of Cuboids and Cubes
Level	Primary 5

02　Questions (10 items)

FoundationA cuboid is 9 cm long, 5 cm wide and 4 cm high. Find its volume.
FoundationA cube has edges of 7 cm. Find its volume.
FoundationA cuboid has base area 24 cm² and height 12 cm. Find its volume.
FoundationThere are 30 cubes in each layer and 8 layers. How many cubes in total?
IntermediateA tank holds 3000 cm³. How many litres is that?
IntermediateA cuboid has volume 0.72 m³, length 1.2 m and width 0.6 m. Find its height.
IntermediateA tank is 40 cm long, 25 cm wide and 30 cm high and is filled to 2/3 of its height. How many litres of water are there?
ChallengeA cuboid 8 cm by 6 cm by 5 cm is cut entirely into 2 cm cubes. What is the largest number of cubes, and how much height is left unused?
ChallengeTwo cuboids are joined: A is 6 cm by 4 cm by 3 cm and B is 6 cm by 4 cm by 2 cm. Find the total volume.
Error redoA cuboid is 5 cm long, 3 cm wide and 2 cm high. Find its volume. (common slip: multiplying only length × width and answering 15 cm³)

03　Answers and one-line notes

#	Answer	One-line note
1	180 cm³	Length × width × height.
2	343 cm³	All edges equal: 7 × 7 × 7.
3	288 cm³	Volume = base area × height; the base area already stands for length × width.
4	240 cubes	Counting layer by layer is where the formula comes from: 30 × 8.
5	3 L	1 L = 1000 cm³, so divide by 1000.
6	1.0 m	Height = volume ÷ (length × width) = 0.72 ÷ 0.72.
7	20 L	Full capacity is 30,000 cm³; × 2/3 gives 20,000 cm³, then ÷ 1000.
8	24 cubes, with 1 cm of height unused	8 ÷ 2 = 4, 6 ÷ 2 = 3, 5 ÷ 2 = 2 with 1 left, so 4 × 3 × 2 = 24; the last 1 cm cannot form a full cube.
9	120 cm³	Work each out and add: 72 + 48 = 120; joining does not change volume.
10	30 cm³	5 × 3 = 15 is only the bottom layer; multiply by the height 2 as well.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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