Primary 4 Mathematics · Chapter 8 · Revision paper

Chapter 8 Revision Paper: Rectangles and Squares

Name:Date:Marks: / 30

Time: 40 minutes. Calculators are not allowed. Show your working in Section C.

Section A · Multiple choice 10 marks

1. Which line is perpendicular to AB?1 mark

(A) EF(B) CD(C) GH(D) none of them

2. Which statement about parallel lines is true?1 mark

(A) They must be the same length.(B) They meet at a right angle.(C) They never meet, however far they are extended.(D) They always meet at one point.

3. Which kind of line is perpendicular to a vertical line?1 mark

(A) a vertical line(B) a slanted line(C) a line that never meets it(D) a horizontal line

4. PQRS is a rectangle. What is the length of SR?1 mark

(A) 12 cm(B) 5 cm(C) 17 cm(D) 34 cm

5. PQRS is a rectangle. Which sides are perpendicular to PQ?1 mark

(A) SR only(B) QR and PS(C) QR and SR(D) SR and PS

6. Each small square is 1 cm by 1 cm. Which shape is a rectangle that is NOT a square?1 mark

(A) B(B) C(C) A(D) D

7. The perimeter of a square is 40 cm. What is the length of one side?1 mark

(A) 4 cm(B) 20 cm(C) 36 cm(D) 10 cm

8. Which statement about a square is NOT true?1 mark

(A) Opposite sides are perpendicular.(B) All four sides are equal.(C) It has 4 right angles.(D) Opposite sides are parallel.

9. Each small square is 1 cm by 1 cm. A, B and C are three corners of rectangle ABCD. Which point is corner D?1 mark

(A) W(B) X(C) Y(D) Z

10. Ria is drawing a square of side 5 cm. She has drawn AB = 5 cm. What should she do next?1 mark

(A) Draw AD = 5 cm at any angle to AB.(B) Draw AD = 10 cm at a right angle to AB.(C) Draw AD = 5 cm at a right angle to AB.(D) Join A to the middle of AB.

Section B · Short answers 4 marks

11. How many pairs of parallel lines are there in the figure?1 mark

12. WXYZ is a rectangle. Find its perimeter.1 mark

13. Is a square also a rectangle? Write yes or no and give a reason.1 mark

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

Section C · Show your working 16 marks

15. (a) Name two lines that are perpendicular to PQ. (b) Name the line that is parallel to XY.2 marks

16. Use a set square and a ruler. (a) Draw a line from P to AB so that it is perpendicular to AB. (b) Draw a line through Q that is parallel to AB.2 marks

17. ABCD is a rectangle. BC = 6 cm. The perimeter of the rectangle is 40 cm. Find the length of AB.2 marks

18. ABCD is a rectangle. ∠BAC = 30°. (a) Find ∠CAD. (b) How many degrees bigger is ∠CAD than ∠BAC?2 marks

19. Three squares with sides of 5 cm are put in a row to make a rectangle. Find the perimeter of the rectangle.2 marks

20. A square has the same perimeter as a rectangle that is 14 cm long and 10 cm wide. Find the length of one side of the square.2 marks

21. Each square is 1 cm by 1 cm. K, L and M are three corners of rectangle KLMN. Mark N and draw the rectangle. What is its perimeter?2 marks

22. The length of rectangle ABCD is 3 times its breadth. Its perimeter is 48 cm. (a) Find the breadth. (b) A square has sides equal to the breadth of the rectangle. Find the perimeter of the square.2 marks

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