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Primary 5 Maths: 3-D Shapes and Nets — Practice Paper 4 (10 Questions)
Primary 5 Maths: 3-D Shapes and Nets — Practice Paper 4 (10 Questions)
Paper 4 closes the chapter: judging whether a net folds, the formula gap between prism and pyramid edges, the faces of a cone and a sphere, and why the same counts can describe different shapes.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 are basic counts, item 04 judges a 1-4-1 net, items 05 to 07 work back to the base with formulas, items 08 and 09 separate structure from shape, item 10 is the usual sphere slip.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 questions |
| Suggested time | 20 minutes |
| Difficulty mix | Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1 |
| Chapter | Chapter: Primary 5 Maths: 3-D Shapes and Nets — Tutor Lesson Plan |
| Level | Primary 5 |
02 Questions (10 items)
- FoundationHow many faces, edges and vertices has a cuboid?
- FoundationHow many faces has a cone, and how many of them are flat?
- FoundationHow many faces has a sphere, and how many edges?
- FoundationA net has four squares in a row, one square above the first and one below the fourth. Can it fold into a cube?
- IntermediateWith the same n-sided polygon as base, how many more edges has the prism than the pyramid?
- IntermediateThe net of a prism has 9 faces in all. What polygon is its base, and how many edges has the prism?
- IntermediateThe net of a pyramid has 12 triangles and one twelve-sided polygon. What solid is it, and how many edges has it?
- ChallengeA solid has 6 faces, 12 edges and 8 vertices but is not a cube. What could it be?
- ChallengeUsing the prism formulas, work out faces + vertices − edges for a hexagonal prism.
- Error redoHow many edges has a sphere? (common slip: answering 1, treating the outline as an edge)
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 6 faces, 12 edges, 8 vertices | Two rectangles top and bottom plus four sides; 4 × 3 = 12 edges and 4 × 2 = 8 vertices, and 6 + 8 − 12 = 2. |
| 2 | 2 faces, 1 of them flat | The base is a circle (flat) and the side is one curved surface meeting at the apex, so 2 faces with 1 flat. |
| 3 | 1 face, 0 edges | A sphere is one continuous curved surface: no flat face, no edge and no vertex. |
| 4 | Yes | The row of four wraps into the four sides, the top flap becomes the lid and the bottom flap the base; nothing overlaps, so it folds into a cube. |
| 5 | 7 more (prism 3n, pyramid 2n) | A prism has three edges per base side and a pyramid two, so the difference is n; with seven sides, 21 − 14 = 7. |
| 6 | A heptagon, 21 edges | Prism faces are base sides + 2, so 9 − 2 = 7; edges 7 × 3 = 21, vertices 7 × 2 = 14, and 9 + 14 − 21 = 2. |
| 7 | A twelve-sided pyramid (13 faces), 24 edges | A pyramid net has one triangle per base side, so twelve triangles mean a twelve-sided base; edges 12 × 2 = 24, faces 13, vertices 13, and 13 + 13 − 24 = 2. |
| 8 | A cuboid (three pairs of different rectangles) | Those counts describe structure, not shape: six rectangles with equal opposite faces give 6 faces, 12 edges and 8 vertices at any length, width and height. |
| 9 | 2 | Faces 6 + 2 = 8, vertices 6 × 2 = 12, edges 6 × 3 = 18, so 8 + 12 − 18 = 2; for any n, (n+2) + 2n − 3n = 2. |
| 10 | 0 | An edge is where two faces meet. A sphere has only one face, so nothing meets it and the edge count is 0. |
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.
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.
