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P2 Quadrilaterals: Paper 2 Intermediate
P2 Quadrilaterals: Paper 2 Intermediate
This paper applies quadrilateral properties to calculation: perimeters of rectangles, squares, parallelograms, trapeziums and rhombuses, the links between the shapes, and a correction of a common angle error.
Direct answers Answers: 1 26 centimetres; 2 9 centimetres; 3 22 centimetres; 4 20 centimetres; 5 24 centimetres; 6 yes, a rectangle; 7 360 degrees and 90 degrees; 8 20 centimetres; 9 no, only a parallelogram; 10 false.
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: P2 Quadrilaterals |
| Level | P2 |
02 Questions (10 items)
- FoundationA rectangle is 8 centimetres by 5 centimetres. Find its perimeter.
- FoundationA square has a perimeter of 36 centimetres. How long is one side?
- FoundationA parallelogram has one pair of opposite sides 7 centimetres long and the other pair 4 centimetres. Find its perimeter.
- IntermediateA trapezium has a top side of 3 centimetres, a bottom side of 7 centimetres and two sloping sides of 5 centimetres. Find its perimeter.
- IntermediateA rhombus has four sides of 6 centimetres. Find its perimeter.
- IntermediateIs a square a rectangle? Why?
- ChallengeWhat do the four angles of a quadrilateral add up to? If three angles are 90 degrees, what is the fourth?
- ChallengeFour paper strips, each 5 centimetres long, are joined into a square. Find its perimeter.
- ChallengeA shape has four sides, four corners and two pairs of parallel opposite sides. Must it be a square?
- Error redoError clinic: “all four angles of a parallelogram are right angles.” Is this true?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 26 centimetres. (8 + 5) times 2 is 26. | Add one length and one width, then double it. |
| 2 | 9 centimetres. 36 divided by 4 is 9. | Four equal sides, so divide the perimeter by four. |
| 3 | 22 centimetres. 7 + 4 + 7 + 4 = 22. | Each pair of opposite sides is equal, so each length appears twice. |
| 4 | 20 centimetres. 3 + 7 + 5 + 5 = 20. | Add all four sides; a trapezium does not need equal sides. |
| 5 | 24 centimetres. 6 times 4 is 24. | A rhombus has four equal sides, though its corners need not be right angles. |
| 6 | Yes. A square has four right angles, so it meets the definition of a rectangle and adds equal sides. | A square is a special rectangle, but a rectangle is not always a square. |
| 7 | They add up to 360 degrees, so the fourth angle is 90 degrees. 360 minus 270 is 90. | Every quadrilateral has an angle sum of 360 degrees whatever its shape. |
| 8 | 20 centimetres. 5 times 4 is 20. | The total length of the strips is the perimeter. |
| 9 | No. It is at least a parallelogram; it needs four right angles to be a rectangle and equal sides to be a square. | Parallelograms, rectangles, rhombuses and squares all have two pairs of parallel sides. |
| 10 | False. A parallelogram has equal opposite angles, but they need not be right angles; with four right angles it becomes a rectangle. | Slant a parallelogram and the angles change while the shape stays a parallelogram. |
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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