Primary 4 Mathematics · Chapter 5 · Answers and explanations
Lesson 5.2: Mixed Numbers (answers)
Section A · Multiple choice 4 marks
1. What mixed number does the picture show?1 mark
(A) 2 34(B) 2 14(C) 3 34(D) 2 35
Answer: (A) 2 342 whole bars are shaded and 3 out of 4 parts of the last bar. So the mixed number is 2 34.
2. Point A is shown on the number line. What mixed number does A stand for?1 mark
(A) 1 14(B) 1 34(C) 1 35(D) 2 14
Answer: (B) 1 34Each space from 1 to 2 is divided into 4 equal parts. A is 3 parts after 1, so A = 1 34.
3. Write 3 48 with the fraction part in its simplest form.1 mark
(A) 3 48(B) 3 24(C) 3 12(D) 4 12
Answer: (C) 3 12Divide the top and bottom of 48 by 4: 12. So 3 48 = 3 12.
4. Which of these is a mixed number?1 mark
(A) 23(B) 73(C) 5(D) 2 13
Answer: (D) 2 13A mixed number has a whole number part and a fraction part. 2 13 has 2 wholes and 13.
Section B · Write your answer 11 marks
5. What mixed number does the picture show? Give the fraction part in its simplest form.1 mark
Answer: 1 231 whole circle and 4 out of 6 parts of the next circle are shaded: 1 46. 46 = 23, so the answer is 1 23.
6. Point B is shown on the number line. What mixed number does B stand for? Give the fraction part in its simplest form.1 mark
Answer: 2 12B is 2 spaces after 2 and each space is one quarter: 2 24 = 2 12.
7. Write 5 69 with the fraction part in its simplest form.1 mark
Answer: 5 23Divide the top and bottom of 69 by 3: 23. So the answer is 5 23.
8. Write 6 + 1015 as a mixed number with the fraction part in its simplest form.1 mark
Answer: 6 236 + 1015 = 6 1015. Divide the top and bottom by 5: 23. The answer is 6 23.
9. Point Q is shown on the number line. What mixed number does Q stand for?1 mark
Answer: 3 35Q is 3 spaces after 3 and each space is one fifth, so Q = 3 35.
10. Mei ate the pizzas shown in the picture (shaded parts). How many pizzas did she eat? Give your answer as a mixed number in its simplest form.2 marks
Answer: 2 34She ate 2 whole pizzas and 6 out of 8 slices of another pizza: 2 68. 68 = 34, so she ate 2 34 pizzas.
11. A and B are shown on the number line. Write the mixed numbers for A and B.2 marks
Answer: A = 1 13, B = 2 23Each space is one third. A is 1 space after 1: 1 13. B is 2 spaces after 2: 2 23.
12. Lina bought 3 68 m of ribbon. Kim bought 3 12 m of ribbon. Write Lina's length with the fraction part in its simplest form. Who bought more ribbon?2 marks
Answer: Lina: 3 34 m; Lina bought more68 = 34, so Lina bought 3 34 m. 12 = 24 and 34 is more than 24. Lina bought more.
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