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Surface Area — Practice Paper 1 (10 items with answers)
Surface Area — Practice Paper 1 (10 items with answers)
Surface area is the sum of the six faces (or five for an open box). These ten items move from direct substitution to working back to an edge or height, and end with the error of a missing face.
Direct answer Surface area = 2 × (lw + lh + wh); an open-top box has only one base.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 items |
| Suggested time | About 20 minutes |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary 6 Maths: Surface Area — Tutor Lesson Plan |
| Level | Primary 6 |
02 Questions (10 items)
- FoundationA cube has edge 4 cm. Find its total surface area.
- FoundationA cuboid measures 5 cm by 3 cm by 2 cm. Find its total surface area.
- FoundationA cube has edge 10 cm. Find its total surface area.
- IntermediateA cuboid measures 8 cm by 5 cm by 4 cm. Find its total surface area.
- IntermediateAn open-top box measures 12 cm by 8 cm by 5 cm. Find its surface area.
- IntermediateA cube has total surface area 96 cm². Find its edge.
- ChallengeA cuboid has surface area 94 cm², length 5 cm and width 3 cm. Find its height.
- ChallengeA cube edge grows from 3 cm to 6 cm. How many times larger is the surface area?
- ChallengeTwenty cubes of edge 6 cm are painted all over. What total area is painted?
- Error redoFind the surface area of a 6 cm by 4 cm by 5 cm cuboid. (Common error: counting only the four side faces.)
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 96 cm² | Six faces of 4 × 4 = 16 cm² each, so 16 × 6 = 96 cm². |
| 2 | 62 cm² | 2 × (15 + 10 + 6) = 62 cm². |
| 3 | 600 cm² | 10 × 10 × 6 = 600 cm². |
| 4 | 184 cm² | 2 × (40 + 32 + 20) = 184 cm². |
| 5 | 296 cm² | Base 12 × 8 = 96, front and back 2 × 60, sides 2 × 40, giving 296 cm². |
| 6 | 4 cm | One face is 96 ÷ 6 = 16 cm², so the edge is 4 cm. |
| 7 | 4 cm | 2 × (15 + 5h + 3h) = 94, so 15 + 8h = 47 and h = 4 cm. |
| 8 | 4 times | The area goes from 54 cm² to 216 cm², and 216 ÷ 54 = 4. |
| 9 | 4320 cm² | Each cube is 6 × 6 × 6 = 216 cm², so 20 × 216 = 4320 cm². |
| 10 | 148 cm² | 2 × (24 + 30 + 20) = 148 cm²; the top and bottom faces must not be left out. |
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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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.
