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Mathematics questions, unit 3
Nama / NameKelas / ClassTarikh / Date

Fractions and Decimals

31 marks. Use Practice to check each answer as you go, or Exam to answer everything first.

Section A: objective questions

10 marks
Choose the correct answer.
1

Question 1

Diagram 1 shows a circle cut into equal parts. What fraction is shaded?
A circle cut into 8 equal parts with 3 parts shaded
Diagram 1
Show answerHide answer
C
3 parts are shaded out of 8 equal parts, so the fraction is three over eight, 3⁄8.
For the teacher: Remembering, low difficulty, standard 3.1.2
Textbook p. 3
2

Question 2

Which fraction is five over nine?
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B
Five over nine has numerator 5 and denominator 9: 5⁄9.
For the teacher: Remembering, low difficulty, standard 3.1.3
Textbook p. 5
3

Question 3

Diagram 2 shows 6 equal parts. 5 parts are shaded. What fraction is not shaded?
A strip of 6 equal parts with 5 parts shaded
Diagram 2
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A
6 parts in all and 5 are shaded, so 1 part is not shaded: 1⁄6.
For the teacher: Understanding, low difficulty, standard 3.1.4
Textbook p. 5
4

Question 4

Which is not a proper fraction?
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D
A proper fraction is less than 1. 7⁄7 has the same numerator and denominator, so it is 1 whole.
For the teacher: Understanding, low difficulty, standard 3.1.2
Textbook p. 3
5

Question 5

Which fraction is the largest?
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B
The denominators are the same, so the largest numerator makes the largest fraction. 7 is the largest numerator.
For the teacher: Applying, low difficulty, standard 3.1.5
Textbook p. 7
6

Question 6

Diagram 3 shows two equal strips. Which is true?
Top strip cut into 2 parts with 1 shaded; bottom strip cut into 10 parts with 1 shaded
Diagram 3
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A
The same whole is cut into more parts in the bottom strip, so each part is smaller. 1⁄10 is smaller than 1⁄2.
For the teacher: Applying, medium difficulty, standard 3.1.5
Textbook p. 8
7

Question 7

Write 1⁄10 as a decimal.
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C
One tenth is written 0.1 and read "zero point one".
For the teacher: Remembering, low difficulty, standard 3.2.1
Textbook p. 10
8

Question 8

Diagram 4 has 10 equal parts. 7 parts are shaded. What decimal is shaded?
A strip of 10 equal parts with 7 parts shaded
Diagram 4
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D
7 out of 10 parts is 7⁄10, which is 0.7.
For the teacher: Understanding, low difficulty, standard 3.2.2
Textbook p. 11
9

Question 9

Diagram 5 is a number line from 0 to 1 in tenths. What decimal is P?
Number line from 0 to 1 with ten equal steps and point P at the sixth mark
Diagram 5
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A
P is at the 6th mark, so it is 6⁄10 = 0.6.
For the teacher: Applying, medium difficulty, standard 3.2.3
Textbook p. 11
10

Question 10

Which is correct?
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B
5⁄10 = 0.5. 8 tenths is more than 5 tenths, so 0.8 is larger than 5⁄10.
For the teacher: Applying, medium difficulty, standard 3.3.1
Textbook p. 14

Section B: structured questions

21 marks
Answer all questions.
11

Question 11

Write the fractions.
[1 mark] (a)Write two over eight in numerals.
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Tick each point you got.
[1 mark] (b)Write 4⁄9 in words.
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 3.1.4
Textbook p. 6
12

Question 12

Diagram 6 shows a strip cut into equal parts.
A strip of 7 equal parts with 2 parts shaded
Diagram 6
[1 mark] (a)What fraction is shaded?
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Tick each point you got.
[1 mark] (b)What fraction is not shaded?
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Tick each point you got.
[1 mark] (c)What is the denominator of the fractions?
Show answerHide answer
7
The strip has 7 equal parts, so the denominator is 7.
For the teacher: Understanding, low difficulty, standard 3.1.4
Textbook p. 5
13

Question 13

Diagram 7 shows two equal strips cut into 5 parts.
Top strip with 3 of 5 parts shaded, bottom strip with 2 of 5 parts shaded
Diagram 7
[1 mark] (a)Which strip has more parts shaded?
Show answerHide answer
Top strip
The top strip has 3 parts shaded and the bottom strip has 2 parts.
[1 mark] (b)Write the two fractions. Which is smaller?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 3.1.5
Textbook p. 7
14

Question 14

Chong ate 1⁄6 of a pizza. His brother ate 1⁄4 of the same pizza.
[1 mark] (a)Who ate more pizza?
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Chong's brother
1⁄4 is cut into fewer parts than 1⁄6, so each part is larger.
[1 mark] (b)Why? Explain how you know.
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Tick each point you got.
For the teacher: Understanding, medium difficulty, standard 3.1.5
Textbook p. 8
15

Question 15

Diagram 8 shows a strip of 10 equal parts.
A strip of 10 equal parts with 7 parts shaded
Diagram 8
[1 mark] (a)Write the shaded part as a fraction.
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Tick each point you got.
[1 mark] (b)Write the shaded part as a decimal.
Show answerHide answer
Tick each point you got.
For the teacher: Understanding, low difficulty, standard 3.2.2
Textbook p. 11
16

Question 16

Diagram 9 is a number line from 0 to 1. It is divided into tenths.
Number line from 0 to 1 in tenths with point P at the third mark
Diagram 9
[1 mark] (a)Write P as a fraction.
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Tick each point you got.
[1 mark] (b)Write P as a decimal.
Show answerHide answer
Tick each point you got.
For the teacher: Applying, low difficulty, standard 3.2.3
Textbook p. 11
17

Question 17

Hana used 0.6 of a ribbon to tie a gift. She used 4⁄10 of the ribbon to make a flower.
[1 mark] (a)Write 4⁄10 as a decimal.
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Tick each point you got.
[1 mark] (b)Which was longer, the ribbon to tie the gift or the ribbon for the flower?
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Tie the gift
0.6 is more than 0.4.
For the teacher: Applying, medium difficulty, standard 3.3.1
Textbook p. 14
18

Question 18

Kevin coloured a wheel with 10 equal parts. He used yellow and green in turn, as in Diagram 10.
A wheel of 10 equal parts coloured yellow and green in turn
Diagram 10
[2 marks] (a)How many parts are yellow? Write the yellow parts as a decimal.
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 3.4.1
Textbook p. 17
19

Question 19

Gary and Chan shared a mooncake. Gary ate 1⁄2 of it and Chan ate 1⁄4 of it. Draw a strip of 4 equal parts to help you.
[1 mark] (a)Was the whole mooncake eaten?
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No
1⁄2 is 2 of the 4 equal parts and 1⁄4 is 1 part. 2 parts and 1 part are 3 parts, so 1 part is left.
[1 mark] (b)Explain your answer.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 3.4.1
Textbook p. 17
20

Question 20

A strip is cut into 10 equal parts.
[2 marks] (a)Write one fraction that is larger than 3⁄10 but smaller than 5⁄10. Write it as a decimal too.
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Tick each point you got.
For the teacher: Creating, high difficulty, standard 3.3.1
Textbook p. 14