中文（繁體）
中文（简体）
English
Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 1 (10 Questions)
Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 1 (10 Questions)
Paper 1 follows the lesson plan: count squares to get the area, set the area beside the perimeter, then work backwards from an area to a side. Cutting the largest square and joining two squares show that areas add while perimeters change.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 cover the area of a rectangle and a square and the difference between cm² and cm; items 04 to 06 recover a width, a square side and a length from an area; items 07 to 09 cover the largest square cut from a card, a width found before the perimeter, and two squares joined; item 10 redoes the area divided by four.
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 rectangle is 9 cm long and 6 cm wide. What is its area?
- FoundationA square has sides of 7 cm. What is its area?
- FoundationA rectangle is 10 cm by 3 cm. Write down both its area and its perimeter, and say how the units differ.
- IntermediateA rectangle has an area of 72 cm² and a length of 9 cm. What is its width?
- IntermediateA square has an area of 64 cm². What is the length of one side?
- IntermediateA rectangle has an area of 96 cm² and a width of 8 cm. What is its length?
- ChallengeThe largest possible square is cut from a card 15 cm by 8 cm. What is the area of the piece left over?
- ChallengeA rectangle has an area of 48 cm² and a length of 8 cm. What is its perimeter?
- ChallengeTwo squares of side 5 cm are joined to make a rectangle. What are its area and its perimeter?
- Error redoA square has an area of 36 cm² and a student answers a side of 9 cm. What went wrong, and what is the right side?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 54 cm² | The area is the number of 1 cm squares that fill the shape: 9 in each row over 6 rows, so 9 × 6 = 54 cm². The perimeter of the same rectangle is 30 cm, a different number. |
| 2 | 49 cm² | Both sides of a square are the same, so a side is multiplied by itself: 7 × 7 = 49 cm². Multiplying by 4 would give the perimeter, 28 cm. |
| 3 | Area 30 cm², perimeter 26 cm | The area fills the inside: 10 × 3 = 30, in cm². The perimeter walks the edge: (10 + 3) × 2 = 26, in cm. Different numbers and different units. |
| 4 | 8 cm | With the area and one side known, divide: 72 ÷ 9 = 8, and 8 × 9 = 72 cm² checks it. |
| 5 | 8 cm | The two sides of a square are equal, so look for the number that multiplied by itself gives 64: 8 × 8 = 64, so the side is 8 cm. Dividing 64 by 4 gives 16, which is the perimeter route, not the side. |
| 6 | 12 cm | 96 ÷ 8 = 12, and 12 × 8 = 96 cm² confirms it: the area divided by one side always gives the other. |
| 7 | 56 cm² left over | The largest square can only be as long as the shorter side, 8 cm, giving 64 cm². The card is 15 × 8 = 120 cm², so 120 − 64 = 56 cm² is left, which is 7 cm by 8 cm. |
| 8 | 28 cm | Find the width from the area first: 48 ÷ 8 = 6, then the perimeter is (8 + 6) × 2 = 28 cm. Area and perimeter take two separate steps. |
| 9 | Area 50 cm², perimeter 30 cm | The areas add up: 25 + 25 = 50 cm². Joined, the rectangle is 10 cm by 5 cm, so the perimeter is (10 + 5) × 2 = 30 cm — 10 cm less than the two separate perimeters of 40 cm, because the joining edge stops being an outside edge. |
| 10 | The area was divided by 4; the side is 6 cm | 36 ÷ 4 = 9 treats the area as a perimeter. For a square, look for the number that squares to 36: 6 × 6 = 36, so the side is 6 cm. |
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.
