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Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 3 (10 Questions)
Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 3 (10 Questions)
Paper 3 goes further along the lesson plan: area from a side or from length and width, then the unknown side back from area or perimeter, then equal areas in different shapes, square metres against square centimetres, and finally a path around a bed, whole-number sides and tiling. Item 10 redoes the perimeter-answered-as-area error.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 find the area from a side or from length and width, and the width back from the area; items 04 to 06 cover equal areas in different shapes, area from a perimeter, and square metres against square centimetres; items 07 to 09 are the path, the whole-number sides and the tiling; item 10 redoes the perimeter-as-area error.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 questions |
| Suggested time | 20 minutes |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary 4 Maths: Area of Rectangles and Squares — Tutor Lesson Plan |
| Level | Primary 4 |
02 Questions (10 items)
- FoundationA square has sides of 6 cm. What is its area?
- FoundationA rectangle is 15 cm long and 4 cm wide. What is its area?
- FoundationA rectangle has an area of 48 cm² and a length of 8 cm. Find its width.
- IntermediateRectangle A is 9 cm by 4 cm. Rectangle B has the same area but is 12 cm long. Find the width of B.
- IntermediateA square has a perimeter of 28 cm. What is its area?
- IntermediateA carpet is 3 m long and 2 m wide. What is its area in square metres, and in square centimetres?
- ChallengeA rectangular flower bed is 10 m by 6 m, and a 1 m wide path runs around its outside. What is the area of the path?
- ChallengeA rectangle has an area of 36 cm². Its length and width are whole centimetres, and the length is not shorter than the width. How many such rectangles are there?
- ChallengeA room is 5 m by 4 m. Each square metre needs 4 tiles. How many tiles are needed?
- Error redoA rectangle is 8 cm by 5 cm. A pupil answers 26 cm. What went wrong, and what is the correct area?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 36 cm² | 6 × 6 = 36: the area of a square is its side multiplied by itself. |
| 2 | 60 cm² | 15 × 4 = 60, and the unit is square centimetres. |
| 3 | 6 cm | 48 ÷ 8 = 6: divide the area by the length to get the width. |
| 4 | 3 cm | A has an area of 9 × 4 = 36 cm², and 36 ÷ 12 = 3. |
| 5 | 49 cm² | First the side is 28 ÷ 4 = 7 cm, then 7 × 7 = 49 cm². |
| 6 | 6 m², which is 60 000 cm² | 3 × 2 = 6 m²; one square metre is 10 000 cm², so the area is 60 000 cm². |
| 7 | 36 m² | The outer rectangle is 12 × 8 = 96 m²; minus the 60 m² bed, the path is 36 m². |
| 8 | 5 (1×36, 2×18, 3×12, 4×9 and 6×6) | Count the factor pairs of 36: there are 5, and the last pair, 6 by 6, is a square. |
| 9 | 80 tiles | The area is 5 × 4 = 20 m², and 20 × 4 = 80 tiles. |
| 10 | 26 cm is the perimeter; the area is 40 cm² | 2 × (8 + 5) = 26 is the perimeter; the area is 8 × 5 = 40 cm². |
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.
