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S1 Maths: Perimeter, Area and Volume (Paper 2 (intermediate))
S1 Maths: Perimeter, Area and Volume (Paper 2 (intermediate))
Paper 2 (intermediate): 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 running track is 3.6 km long. How many metres is that?
- FoundationA plastic sheet has area 0.75 m squared. How many cm squared is that?
- FoundationA triangle has base 24 cm and height 15 cm. Find its area.
- IntermediateA trapezium has parallel sides of 8 cm and 14 cm, and height 9 cm. Find its area.
- IntermediateA prism has base area 25 cm squared and height 12 cm. Find its volume.
- IntermediateChange 4 500 cm cubed into litres.
- ChallengeA cuboid tank is 40 cm by 25 cm by 30 cm. Find its capacity in litres.
- ChallengeAn L-shaped sheet is a 10 cm by 8 cm rectangle with a 4 cm by 3 cm corner removed. Find the remaining area.
- ChallengeA cuboid is 12 cm by 9 cm by 7 cm. Find its surface area.
- Error redoError clinic: change 2 m cubed into cm cubed.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 3.6 km = 3600 m. | One kilometre is 1000 metres. |
| 2 | 0.75 m squared = 7500 cm squared. | Multiply by 10 000 because the linear factor 100 is squared. |
| 3 | Area = 180 cm squared. | Multiply base by height, then halve. |
| 4 | Area = 99 cm squared. | Add the parallel sides, multiply by the height and halve the result. |
| 5 | Volume = 300 cm cubed. | For any prism, volume is base area times height. |
| 6 | 4 500 cm cubed = 4.5 L. | One litre is 1000 cm cubed, so divide by 1000. |
| 7 | Capacity = 30 L. | Work out the volume in cm cubed first, then divide by 1000. |
| 8 | The remaining area is 68 cm squared. | Area of the big rectangle minus the area cut away. |
| 9 | Surface area = 510 cm squared. | Double the sum of the three different face areas. |
| 10 | 2 m cubed = 2000000 cm cubed. | Volume uses the factor 100 three times, so multiply by a million. |
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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