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Primary 4 Mathematics · Chapter 8 · Answers and explanations

Lesson 8.3: Properties of Squares (answers)

Section A · Multiple choice 4 marks

1. How many equal sides does a square have?1 mark

(A) 4(B) 1(C) 2(D) 3
Answer: (A) 4All 4 sides of a square are equal in length.

2. Each small square is 1 cm by 1 cm. Which shape is a square?1 mark

ABCD
(A) A(B) B(C) C(D) D
Answer: (B) BB is 3 squares by 3 squares, so all its sides are equal. A, C and D have sides of two different lengths.

3. Which statement is true?1 mark

(A) A square is not a rectangle.(B) A rectangle always has 4 equal sides.(C) A square is a special rectangle.(D) A square has only 2 right angles.
Answer: (C) A square is a special rectangle.A square has 4 right angles, like a rectangle, and its 4 sides are equal too. So a square is a special kind of rectangle.

4. PQRS is a square. What is the length of QR?1 mark

PQRS6 cm
(A) 3 cm(B) 12 cm(C) 24 cm(D) 6 cm
Answer: (D) 6 cmAll sides of a square are equal. QR = PQ = 6 cm.

Section B · Write your answer 11 marks

5. ABCD is a square. Find its perimeter.1 mark

ABCD7 cm
Answer: 28 cmAll 4 sides are 7 cm. 4 × 7 = 28 cm.

6. ABCD is a square. Name the sides that are perpendicular to AB.1 mark

ABCD
Answer: AD and BCNeighbouring sides of a square meet at a right angle. AD and BC meet AB at its two ends, so they are perpendicular to AB.

7. Each square is 1 cm by 1 cm. A, B and C are three corners of a square ABCD. Mark D on the grid.1 mark

ABCD= 1 cm by 1 cm
Answer: D is the empty corner, 3 squares from A and 3 squares from C.AB and BC are both 3 cm. The fourth corner D is 3 squares from A and 3 squares from C, so ABCD has 4 equal sides and 4 right angles.

8. Is this true or false? "Every rectangle is a square." Explain.1 mark

Answer: False. A rectangle can have sides of two different lengths.A square has 4 equal sides but a rectangle only needs opposite sides equal. For example, a rectangle 5 cm by 3 cm is not a square.

9. A square has a perimeter of 36 cm. What is the length of one side?1 mark

Answer: 9 cmThe 4 sides are equal. 36 ÷ 4 = 9 cm.

10. Each square is 1 cm by 1 cm. Which shapes are squares? Which shapes are rectangles but not squares?2 marks

ABCD
Answer: Squares: A and C. Rectangles that are not squares: B and D.A is 3 by 3 and C is 2 by 2, so their sides are equal. B is 5 by 2 and D is 4 by 3, so their sides are not all equal.

11. Each square is 1 cm by 1 cm. A, B and C are three corners of a square ABCD. Mark D and draw the square. What is its perimeter?2 marks

ABCD= 1 cm by 1 cm
Answer: 16 cmD is 4 squares above A. Each side is 4 cm. Perimeter = 4 × 4 = 16 cm.

12. Two squares with sides of 4 cm are put side by side to make a rectangle. What is the perimeter of the rectangle?2 marks

4 cm4 cm
Answer: 24 cmThe rectangle is 8 cm long and 4 cm wide. 8 + 4 + 8 + 4 = 24 cm.
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