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P1 Maths: 2D Shapes (10 Advanced Items)
P1 Maths: 2D Shapes (10 Advanced Items)
Ten advanced items: comparing perimeters, cutting and joining shapes, reversing a perimeter to a side with wire and sticks, testing whether three lengths form a triangle, and sorting quadrilaterals.
Focus Work out both perimeters before comparing, and track every edge when cutting or joining.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 25 |
| Difficulty mix | Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1 |
| Chapter | Chapter: P1 Maths: 2D Shapes |
| Level | P1 Maths |
02 Questions (10 items)
- FoundationA square has 7 cm sides; a rectangle is 9 cm by 4 cm. Which perimeter is longer and by how much?
- FoundationA square is cut along a diagonal into two identical triangles. How many sides does each triangle have?
- FoundationA 12 cm wire is bent into a square. What is the side length?
- FoundationA shape has 4 sides and 4 right angles, but the sides are not all equal. What is it?
- IntermediateCan sticks of 3 cm, 4 cm and 5 cm form a triangle? What about 1 cm, 2 cm and 4 cm?
- IntermediateSix sticks of 2 cm each form a hexagon. What is the perimeter? If the same sticks form an equilateral triangle, how long is each side?
- IntermediateA square on paper is turned through 45 degrees. What shape is it now?
- ChallengeA diagonal is drawn inside a rectangle. How many triangles appear, and how many shapes in total?
- ChallengeHow many more sides does a hexagon have than a triangle, and than a square?
- Error redoA student says every quadrilateral is a square. What is wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | Square 7 × 4 = 28 cm; rectangle (9 + 4) × 2 = 26 cm; the square is 2 cm longer. | Compute both perimeters before comparing; a single side proves nothing. |
| 2 | Each triangle has 3 sides, and the sloping side is the cut. | One cut creates two new edges along the cut. |
| 3 | 12 ÷ 4 = 3 cm. | The wire is the perimeter, so divide by four to get one side. |
| 4 | A rectangle. | Four right angles with unequal sides means a rectangle, not a square. |
| 5 | 3 + 4 = 7 is more than 5, so yes; 1 + 2 = 3 is less than 4, so no. | Any two sides of a triangle must add up to more than the third side. |
| 6 | Perimeter 2 × 6 = 12 cm; each side of the triangle is 12 ÷ 3 = 4 cm. | The total length stays the same; only the arrangement changes. |
| 7 | Still a square; only its orientation has changed. | Rotation changes neither side lengths nor angles, so the shape is unchanged. |
| 8 | Two triangles, so three shapes in total including the rectangle. | Count small pieces first, then the whole figure. |
| 9 | Three more than a triangle (6 − 3) and two more than a square (6 − 4). | Compare side counts by subtraction and keep the unit. |
| 10 | Any shape with 4 sides is a quadrilateral, so rectangles, trapeziums and rhombuses qualify but are not squares. | A square needs equal sides and four right angles, which most quadrilaterals lack. |
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.