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S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area (Paper 4: mistake clinic)
S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area (Paper 4: mistake clinic)
This last paper revisits three frequent errors: diameter used as radius, curved area given as total surface, and surface area swapped with volume.
Direct answers Spend three seconds checking those three points after each question, which beats rereading the 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: S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area |
| Level | S3 Maths |
02 Questions (10 items)
- FoundationA cuboid measures 5 cm by 4 cm by 2 cm. What is its volume?
- FoundationA cube has edges of 7 cm. What is its surface area?
- FoundationA triangular prism has a triangle base of 10 cm with height 6 cm, and a length of 8 cm. What is its volume?
- IntermediateA cylinder has radius 1 cm and height 10 cm. What is its volume? Take pi as 3.14.
- IntermediateA sphere has radius 2 cm. What is its volume, to two decimal places? Take pi as 3.14.
- IntermediateA cylinder has radius 1 cm and height 10 cm. What is its total surface area? Take pi as 3.14.
- ChallengeA container has a volume of 2 500 cm cubed. What is its capacity in litres?
- ChallengeFor one sphere, its surface area is how many times the area of a circle with the same radius? Take pi as 3.14.
- ChallengeA cylinder of volume 471 cm cubed has radius 5 cm. What is its height? Take pi as 3.14.
- Error redoFor a cuboid of 8 cm by 3 cm by 2 cm a student writes a surface area of 48 cm squared. What is the correct value?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 40 cm³ | Five times 4 times 2 gives 40 cubic centimetres. |
| 2 | 294 cm² | Each face is 49, and six faces give 294. |
| 3 | 240 cm³ | The triangle area is 30, and multiplying by 8 gives 240. |
| 4 | 31.4 cm³ | Three point one four times 1 times 10 gives 31.4. |
| 5 | 33.49 cm³ | Four thirds times 3.14 times 8 gives 33.49 to two decimal places. |
| 6 | 69.08 cm² | The two ends give 6.28 and the curved part 62.8, so the total is 69.08. |
| 7 | 2.5 L | Dividing 2 500 by 1 000 gives 2.5 litres. |
| 8 | 4 times | Sphere surface area is four pi r squared against pi r squared for the circle, so the factor is 4. |
| 9 | 6 cm | Dividing 471 by 78.5 gives 6, since 3.14 times 25 is 78.5. |
| 10 | 92 cm² | The 48 is the volume; the surface area is twice 24 plus 16 plus 6, which is 92. |
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.
Keep three columns in the error log: question, cause, corrected steps. The three commonest slips here are using the diameter as the radius, giving curved area as the total surface area, and swapping surface area with volume.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.