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Mathematics questions, unit 2
Nama / NameKelas / ClassTarikh / Date

Fractions, Decimals and Percentages

45 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

45 ÷ 2 = ______
Show answerHide answer
A
45 ÷ 2 = 45 × 12 = 410 = 25. Dividing makes the amount smaller, so 85 cannot be right.
For the teacher: Remembering, low difficulty, standard 2.1.1
Textbook p. 61
2

Question 2

0.3 × 0.4 = ______
Show answerHide answer
B
3 × 4 = 12. Both numbers have 1 decimal place, so the answer has 2 decimal places: 0.12.
For the teacher: Remembering, low difficulty, standard 2.2.1
Textbook p. 68
3

Question 3

State 175% as a decimal.
Show answerHide answer
C
Divide by 100: 175 ÷ 100 = 1.75.
For the teacher: Understanding, low difficulty, standard 2.3.1
Textbook p. 74
4

Question 4

34 of a pizza is divided into 6 equal parts. What fraction of the pizza is each part?
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D
34 ÷ 6 = 34 × 16 = 18.
For the teacher: Understanding, low difficulty, standard 2.1.1
Textbook p. 62
5

Question 5

A pen costs RM6.00 and a smaller pen costs RM0.80. The dearer pen costs ______ times the price of the smaller pen.
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C
6.00 ÷ 0.80 = 600 ÷ 80 = 7.5.
For the teacher: Applying, low difficulty, standard 2.2.2
Textbook p. 71
6

Question 6

Diagram 1 shows a bar cut into 6 equal parts. How many 16 are there in 23?
A bar cut into 6 equal cells with 4 cells shaded, which is two thirds
Diagram 1
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B
23 ÷ 16 = 23 × 6 = 4. The 4 shaded cells are 4 sixths.
For the teacher: Applying, medium difficulty, standard 2.1.1
Textbook p. 64
7

Question 7

What is 240% of 1.8 ℓ of juice?
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A
240% = 2.4, and 2.4 × 1.8 = 4.32 ℓ. 240% is more than 100%, so the answer must be more than 1.8 ℓ.
For the teacher: Applying, low difficulty, standard 2.3.3
Textbook p. 77
8

Question 8

1 + 34 − 0.8 = ______
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D
34 = 0.75. 1 + 0.75 = 1.75, and 1.75 − 0.8 = 0.95.
For the teacher: Analysing, medium difficulty, standard 2.4.1
Textbook p. 80
9

Question 9

Aiman jumped 1.6 m on his first attempt and 1.68 m on his second attempt. The second jump is ______ of the first jump.
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A
1.68 ÷ 1.6 = 1.05, and 1.05 × 100% = 105%. He jumped 5% further.
For the teacher: Analysing, high difficulty, standard 2.3.3
Textbook p. 78
10

Question 10

Which statement is true?
Show answerHide answer
B
1.2 × 100% = 120%. 0.5 = 50%, 34 = 75% and 250% = 2.5.
For the teacher: Evaluating, medium difficulty, standard 2.3.1
Textbook p. 73

Section B: structured questions

35 marks
Answer all questions. Show your working.
11

Question 11

Divide. Give each answer in its simplest form.
[1 mark] (a)56 ÷ 5
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Tick each point you got.
[1 mark] (b)225 ÷ 6
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Tick each point you got.
[1 mark] (c)112 ÷ 14
Show answerHide answer
Tick each point you got.
For the teacher: Remembering, low difficulty, standard 2.1.1
Textbook p. 63
12

Question 12

Tea leaves of 0.1 kg are used to fill tea bags. Each tea bag holds 0.002 kg of tea.
[1 mark] (a)By what number must you multiply both 0.1 and 0.002 so that the divisor becomes a whole number?
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Tick each point you got.
[2 marks] (b)How many tea bags can be filled?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.2.2
Textbook p. 71
13

Question 13

Diagram 2 is a hundred-square. The shaded squares show a number.
A hundred-square with 64 squares shaded
Diagram 2
[1 mark] (a)Write the shaded part as a percentage.
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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.
[1 mark] (c)Write the shaded part as a fraction in its simplest form.
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 2.3.1
Textbook p. 73
14

Question 14

Find the value of the quantities.
[2 marks] (a)90% of 2.5 m
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Tick each point you got.
[2 marks] (b)360% of 29.5 m
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.3.3
Textbook p. 77
15

Question 15

Diagram 3 shows the free time activities of the pupils in Class 6 Orbit. There are 40 pupils in the class.
Pie chart: Internet surfing 20%, Reading 45%, Swimming 30%, Gardening 5%
Diagram 3 (Mathematics Year 6 textbook, p. 100)
[1 mark] (a)What is the total percentage of pupils who like reading or surfing the Internet?
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Tick each point you got.
[1 mark] (b)What is the difference in percentage between pupils who like swimming and gardening?
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Tick each point you got.
[2 marks] (c)How many pupils like swimming?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.3.2
Textbook p. 100
16

Question 16

Calculate.
[2 marks] (a)9.5 + 3 × 4.2
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Tick each point you got.
[2 marks] (b)16 × (5.5 + 314)
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.4.1
Textbook p. 85
17

Question 17

Diagram 4 shows the price of a school bag last year and this year.
Two bars: last year RM24 and this year RM36, the second longer
Diagram 4
[2 marks] (a)Calculate the price this year as a percentage of the price last year.
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Tick each point you got.
[1 mark] (b)By what percentage did the price go up?
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 2.3.3
Textbook p. 78
18

Question 18

Danial wants to find 4.05 kg as a percentage of 0.9 kg. He writes: "4.05 ÷ 0.9 = 4.5, so the answer is 4.5%."
[2 marks] (a)Explain his mistake and give the correct answer.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 2.3.3
Textbook p. 78
19

Question 19

Nabilah cuts a wire of 334 m into 5 equal parts.
[1 mark] (a)What is the length of each part? Give the answer as a fraction.
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Tick each point you got.
[1 mark] (b)One part is cut into small pieces of 18 m each. How many pieces are there?
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Tick each point you got.
[2 marks] (c)How many pieces of 18 m can be cut from the whole wire? Use your answer in (b) to check.
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 2.5.1
Textbook p. 101
20

Question 20

Hana and Mei Ling both calculate 3 ÷ 1.5 + 110. Hana writes 1.5 ÷ 3 = 0.5, then 0.5 + 0.1 = 0.6. Mei Ling writes 3 ÷ 1.5 = 2, then 2 + 0.1 = 2.1.
[1 mark] (a)Who is correct?
Show answerHide answer
Mei Ling
3 ÷ 1.5 = 2. Hana divided the wrong way round.
[2 marks] (b)Explain the mistake.
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Tick each point you got.
For the teacher: Evaluating, medium difficulty, standard 2.4.1
Textbook p. 88
21

Question 21

Create your own problem.
[2 marks] (a)Write a short story problem that can be solved with 0.75 ÷ 0.25. Then give the answer.
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Tick each point you got.
For the teacher: Creating, medium difficulty, standard 2.5.1
Textbook p. 95