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S1 Maths: Perimeter, Area and Volume (Paper 3 (challenge))
S1 Maths: Perimeter, Area and Volume (Paper 3 (challenge))
Paper 3 (challenge): ten questions on perimeter, area and volume with answers and one-line notes.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S1 Maths: Perimeter, Area and Volume |
| Level | S1 |
02 Questions (10 items)
- FoundationA rectangle has area 96 cm squared and length 12 cm. Find its width.
- FoundationA triangle has area 54 cm squared and base 12 cm. Find its height.
- FoundationA cube has volume 216 cm cubed. Find the length of one edge.
- IntermediateA parallelogram has area 132 cm squared and base 11 cm. Find its height.
- IntermediateA trapezium has area 45 cm squared, height 6 cm and upper side 5 cm. Find the lower side.
- IntermediateA cuboid has volume 240 cm cubed and base area 30 cm squared. Find its height.
- ChallengeA 15 cm by 10 cm by 6 cm box is filled with 3 cm cubes. What is the maximum number?
- ChallengeA tank with a 60 cm by 40 cm base receives 12 L of water. By how much does the level rise?
- ChallengeA prism has a trapezium cross-section with parallel sides 3 cm and 5 cm, height 2 cm, and length 10 cm. Find its volume.
- Error redoError clinic: a square has perimeter 40 cm. Find its area (a student answered 1 600 cm squared).
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | Width = 8 cm. | Divide the area by the length. |
| 2 | Height = 9 cm. | Double the area first, then divide by the base. |
| 3 | Edge = 6 cm. | Find the number whose cube is 216. |
| 4 | Height = 12 cm. | Area divided by base gives the perpendicular height. |
| 5 | Lower side = 10 cm. | Work back: double the area, divide by the height, then subtract the upper side. |
| 6 | Height = 8 cm. | Volume divided by base area gives the height. |
| 7 | At most 30 cubes. | Count along each direction and multiply; dividing volumes alone overestimates. |
| 8 | The level rises 5 cm. | Change litres to cm cubed, then divide by the base area. |
| 9 | Volume = 80 cm cubed. | Find the cross-sectional area first, then multiply by the length. |
| 10 | Area = 100 cm squared. | Divide the perimeter by 4 to get the side, then square it. |
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.
Before calculating, decide whether the question gives a length, an area or a volume, because each converts differently. A perimeter is a line in cm, an area is a surface in cm squared, and a volume fills space in cm cubed. Every area formula needs a base and the matching perpendicular height, and a trapezium needs the two parallel sides added before halving. For reverse questions, work backwards from the formula.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.
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