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Primary 4 Mathematics · Chapter 8 · Answers and explanations

Lesson 8.4: Drawing Squares and Rectangles (answers)

Section A · Multiple choice 4 marks

1. Which tool do you use to draw a right angle?1 mark

(A) ruler(B) set square(C) compass(D) eraser
Answer: (B) set squareA set square has a right-angle corner. A ruler only measures length and draws straight lines.

2. You want to draw a rectangle 6 cm by 3 cm. What should you do first?1 mark

(A) Draw the last side to close the shape.(B) Draw a line 3 cm long at a slant.(C) Draw a line 6 cm long with a ruler.(D) Join two corners together.
Answer: (C) Draw a line 6 cm long with a ruler.Start with one side. Draw a 6 cm line with a ruler, then use a set square to draw the sides at right angles.

3. You have drawn side AB. The next side BC of the rectangle must be ___ to AB.1 mark

(A) parallel(B) slanted(C) longer(D) perpendicular
Answer: (D) perpendicularIn a rectangle, neighbouring sides meet at a right angle. So BC must be perpendicular to AB.

4. Which is true for both a square and a rectangle (that is not a square)?1 mark

(A) They have 4 right angles.(B) They have 4 equal sides.(C) They have sides of two different lengths.(D) They have no parallel sides.
Answer: (A) They have 4 right angles.Squares and rectangles both have 4 right angles and 2 pairs of parallel sides. Only a square has 4 equal sides.

Section B · Write your answer 11 marks

5. Each square is 1 cm by 1 cm. K, L and M are three corners of rectangle KLMN. Mark N and draw the rectangle.1 mark

KLMN= 1 cm by 1 cm
Answer: N is the empty corner, 5 squares to the right of M.N is the empty corner. KN is parallel and equal to LM, and MN is parallel and equal to LK.

6. Put these steps for drawing a rectangle in the right order. P: Join D and C. Q: Draw AB = 6 cm. R: At B, draw BC = 3 cm at a right angle to AB. S: At A, draw AD = 3 cm at a right angle to AB.1 mark

Answer: Q, S, R, P (Q, R, S, P is also correct)Draw one side first (Q). Then draw the two sides at right angles to it (S and R). Last, join the ends (P).

7. Write one way a square is different from a rectangle that is not a square.1 mark

Answer: All 4 sides of a square are equal. (A rectangle has sides of two different lengths.)Both shapes have 4 right angles. Only the square has all 4 sides equal.

8. Zara tried to draw a rectangle ABCD on the grid. What is wrong with her drawing?1 mark

ABCD= 1 cm by 1 cm
Answer: AD is not at a right angle to AB, and DC is shorter than AB.D is in the wrong place. AD is slanted, so the angle at A is not a right angle. DC is 4 squares but AB is 5 squares, yet opposite sides of a rectangle must be equal.

9. Ali draws rectangle ABCD with AB = 9 cm and BC = 4 cm. What should the length of DC be?1 mark

Answer: 9 cmDC is opposite AB. Opposite sides of a rectangle are equal, so DC = 9 cm.

10. Each square is 1 cm by 1 cm. Draw a square ABCD below AB, using AB as one side. What is the length of each side?2 marks

ABCD= 1 cm by 1 cm
Answer: 4 cmAB is 4 squares long. Draw AD and BC downward at right angles, each 4 cm. Join D and C. A square has 4 equal sides.

11. Each square is 1 cm by 1 cm. A and C are opposite corners of rectangle ABCD. The sides run along the grid lines. Draw the rectangle. What are its length and breadth?2 marks

ACBD= 1 cm by 1 cm
Answer: Length 6 cm, breadth 3 cmFrom A go 6 squares across and from C go 3 squares up to find B. D is 3 squares below A. Join A, B, C and D.

12. Each square is 1 cm by 1 cm. Use a ruler and set square to draw a rectangle 7 cm long and 4 cm wide on the grid.2 marks

= 1 cm by 1 cm
Answer: A rectangle 7 squares by 4 squares with 4 right angles (any position).Draw a 7 cm side, then draw 4 cm sides at right angles at both ends, then join the ends. Check that opposite sides are equal.
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