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Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 2 (10 Questions)
Primary 4 Maths: Area of Rectangles and Squares — Practice Paper 2 (10 Questions)
Paper 2 keeps the lesson plan route — count squares for the formula, set area beside perimeter, then go back from an area to a side — but the questions start from tiling a floor and cutting a card, so the same rectangle is asked two ways.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 count squares for the area, compare the area and perimeter of one rectangle, and square a side; item 04 sets the two units side by side; items 05 and 06 recover a width and a square side from an area; items 07 to 09 cover tiling a floor, cutting small squares from a card, and finding a length before the perimeter; item 10 redoes a perimeter written as an area.
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 4 cm long and 3 cm wide is drawn on squared paper. Count the 1 cm² squares inside it. What is the area?
- FoundationA rectangle is 12 cm long and 7 cm wide. What is its area, and what is its perimeter?
- FoundationA square has sides of 9 cm. What are its area and its perimeter?
- IntermediateA rectangle is 8 cm by 5 cm. Write its area and its perimeter, and say how the units differ.
- IntermediateA rectangle has an area of 90 cm² and a length of 15 cm. What is its width?
- IntermediateA square has an area of 121 cm². What is the length of one side?
- ChallengeA rectangular floor is 6 m by 4 m. How many 1 m² tiles cover it, and how many metres of edge strip go round it?
- ChallengeA card 20 cm by 12 cm is cut into squares of side 4 cm. What is the largest number of squares?
- ChallengeA rectangle has an area of 60 cm² and a width of 5 cm. Find its length and its perimeter.
- Error redoFor a rectangle 8 cm by 5 cm a student writes “area 26 cm²”. What went wrong, and what is the right answer?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 12 squares, area 12 cm² | Four squares in each row over three rows gives 4 × 3 = 12 squares of 1 cm², so the area is 12 cm². Count first; the formula is what the counting shows. |
| 2 | Area 84 cm², perimeter 38 cm | Area 12 × 7 = 84 in cm²; perimeter (12 + 7) × 2 = 38 in cm. The two numbers for one shape differ because one fills the inside and the other walks the edge. |
| 3 | Area 81 cm², perimeter 36 cm | Area is the side times itself: 9 × 9 = 81 cm². Perimeter adds the four sides: 9 × 4 = 36 cm. Same side, but times itself gives area and times four gives perimeter. |
| 4 | Area 40 cm², perimeter 26 cm | Area 8 × 5 = 40 cm² counts the squares that fill the shape; perimeter (8 + 5) × 2 = 26 cm is the walk around it. The area unit is squared; the perimeter unit is not. |
| 5 | 6 cm | With the area and the length known, divide: 90 ÷ 15 = 6, and 6 × 15 = 90 cm² checks it. Going back to a side means dividing, not multiplying again. |
| 6 | 11 cm | The sides of a square are equal, so look for the number that squares to 121: 11 × 11 = 121, so the side is 11 cm. Dividing 121 by 4 belongs to the perimeter, not the side. |
| 7 | 24 tiles; 20 m of edging | Covering is area: 6 × 4 = 24 m², one tile per m², so 24 tiles. Edging is perimeter: (6 + 4) × 2 = 20 m. One rectangle, two formulas — one for the surface, one for the edge. |
| 8 | 15 squares | The card is 20 × 12 = 240 cm² and each square is 4 × 4 = 16 cm², so 240 ÷ 16 = 15 squares. Check with the grid: 20 ÷ 4 = 5 along the length and 12 ÷ 4 = 3 along the width, 5 × 3 = 15. Both routes agree. |
| 9 | Length 12 cm, perimeter 34 cm | Find the length from the area first: 60 ÷ 5 = 12, then the perimeter is (12 + 5) × 2 = 34 cm. Two separate steps; 60 is an area, never a perimeter. |
| 10 | The perimeter was used as the area; the area is 40 cm² | (8 + 5) × 2 = 26 is the perimeter in cm, not an area in cm². Area fills the inside: 8 × 5 = 40 cm². Before writing the answer, ask whether the formula walks round or fills in. |
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.
