Primary 4 Mathematics · Chapter 8 · Practice sheet

Lesson 8.1: Perpendicular and Parallel Lines

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Section A · Multiple choice 4 marks

1. Lines EF and GH meet at a right angle. They are ___ lines.1 mark

(A) parallel(B) slanted(C) perpendicular(D) equal

2. Lines AB and CD never meet, however far they are extended. They are ___ lines.1 mark

(A) perpendicular(B) crossing(C) right-angled(D) parallel

3. Which pair of lines is perpendicular?1 mark

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

4. Which statement is true?1 mark

(A) Parallel lines meet at a right angle.(B) Perpendicular lines meet at a right angle.(C) Parallel lines meet at one point.(D) Perpendicular lines never meet.

Section B · Write your answer 11 marks

5. Look at the lines MN and NK. Are they perpendicular? Write yes or no.1 mark

6. Which line is perpendicular to PQ?1 mark

7. In the figure, which lines are parallel to one another?1 mark

8. Hana says, "AB and CD are not parallel because they are different lengths." Is she correct? Explain.1 mark

9. Which line is neither parallel nor perpendicular to AB?1 mark

10. (a) How many pairs of parallel lines are there in the figure? (b) How many pairs of perpendicular lines are there?2 marks

11. Draw a line through P that is parallel to AB. Use a ruler.2 marks

12. Use a set square. Draw a line from M to line XY so that it is perpendicular to XY.2 marks

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Primary 4 Mathematics · Chapter 8 · Practice sheet

Lesson 8.2: Properties of Rectangles

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Section A · Multiple choice 4 marks

1. How many right angles does a rectangle have?1 mark

(A) 1(B) 2(C) 3(D) 4

2. ABCD is a rectangle. What is the length of DC?1 mark

(A) 9 cm(B) 4 cm(C) 13 cm(D) 18 cm

3. PQRS is a rectangle. Which side is parallel to PQ?1 mark

(A) QR(B) SR(C) PS(D) none of the sides

4. Which statement about a rectangle is true?1 mark

(A) All four sides are equal.(B) Opposite sides are perpendicular.(C) Opposite sides are equal and parallel.(D) It has only 2 right angles.

Section B · Write your answer 11 marks

5. ABCD is a rectangle. Find the length of BC.1 mark

6. ABCD is a rectangle. Find ∠CAD.1 mark

7. ABCD is a rectangle. Name the side that is parallel to AD and a side that is perpendicular to AD.1 mark

8. Each square is 1 cm by 1 cm. EFGH is a rectangle. What are the lengths of GH and FG?1 mark

9. How many pairs of parallel sides does a rectangle have?1 mark

10. ABCD is a rectangle. Find its perimeter.2 marks

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

12. ABCD is a rectangle. ∠BAC is 2 times as big as ∠CAD. Find ∠CAD.2 marks

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Primary 4 Mathematics · Chapter 8 · Practice sheet

Lesson 8.3: Properties of Squares

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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

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

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

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.

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

(A) 3 cm(B) 12 cm(C) 24 cm(D) 6 cm

Section B · Write your answer 11 marks

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

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

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

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

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

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

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

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

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Primary 4 Mathematics · Chapter 8 · Practice sheet

Lesson 8.4: Drawing Squares and Rectangles

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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

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.

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

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.

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

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

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

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

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

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

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

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

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Primary 4 Mathematics · Chapter 8 · Revision paper

Chapter 8 Revision Paper: Rectangles and Squares

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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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