Primary 4 Mathematics · Chapter 5 · Answers and explanations

Lesson 5.3: Improper Fractions (answers)

Section A · Multiple choice 4 marks

1. Which of these is an improper fraction?1 mark

(A) 49(B) 75(C) 13(D) 611

Answer: (B) 75An improper fraction has a numerator that is bigger than or equal to its denominator. 7 is bigger than 5, so 75 is improper.

2. Each bar is divided into 4 equal parts. What improper fraction is shaded?1 mark

(A) 78(B) 47(C) 74(D) 34

Answer: (C) 74Each bar has 4 parts, so each part is one quarter. 4 + 3 = 7 parts are shaded, so the fraction is 74.

3. Point A is shown on the number line. What improper fraction does A stand for?1 mark

(A) 53(B) 83(C) 13(D) 73

Answer: (D) 73Each space is one third. From 0 to 2 there are 6 thirds, and A is 1 more third, so A = 73.

4. How many sixths are there in 2 wholes?1 mark

(A) 12(B) 6(C) 8(D) 2

Answer: (A) 121 whole = 66. 2 wholes = 6 + 6 = 12 sixths (126).

Section B · Write your answer 11 marks

5. Each circle is divided into 6 equal parts. What improper fraction is shaded?1 mark

Answer: 1166 + 5 = 11 parts are shaded. Each part is one sixth, so the fraction is 116.

6. Point B is shown on the number line. What improper fraction does B stand for?1 mark

Answer: 94Each space is one quarter. From 0 to 2 there are 8 quarters and B is 1 more quarter, so B = 94.

7. Which of these fractions are improper fractions? 38, 94, 66, 27, 1031 mark

Answer: 94, 66, 103A fraction is improper when the numerator is bigger than or equal to the denominator: 94, 66 and 103.

8. Write 3 wholes as a fraction with a denominator of 5.1 mark

Answer: 1551 whole = 55. So 3 wholes = 3 × 5 = 15 fifths = 155.

9. Write "eleven eighths" as a fraction.1 mark

Answer: 118Eleven eighths means 11 parts, each one eighth: 118.

10. Points P and Q are shown on the number line. Write an improper fraction for each point.2 marks

Answer: P = 54, Q = 114Each space is one quarter. P: 4 + 1 = 5 quarters = 54. Q: 8 + 3 = 11 quarters = 114.

11. Each pizza is cut into 6 equal slices. Tom eats 9 slices. What fraction of a pizza does he eat? Give your answer as an improper fraction in its simplest form.2 marks

Answer: 32Tom eats 96 of a pizza. Divide the top and bottom by 3: 32.

12. Mei pours 18 litre of juice into each cup. She fills 13 cups. How many litres of juice does she pour as an improper fraction? Is it more than 1 litre?2 marks

Answer: 138 litres: yes13 cups of one eighth is 13 eighths = 138 litres. 8 eighths is 1 litre and 13 is more than 8, so it is more than 1 litre.

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