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

Fractions, Decimals and Percentages

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

Section A: objective questions

9 marks
Choose the correct answer.
1

Question 1

6 × 25 = ______
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B
6 × 25 = 125. Divide 12 by 5: 2 remainder 2, so 125 = 225. The numerator is multiplied by 6, but the denominator stays 5.
For the teacher: Remembering, low difficulty, standard 2.1.1
Textbook p. 65
2

Question 2

Diagram 1 shows a rectangle. 23 of it is shaded with blue columns and 35 of it is shaded with orange rows. What fraction of the rectangle is shaded twice (the darker blue parts)?
Rectangle with 3 columns and 5 rows; 2 columns and 3 rows overlap in 6 of 15 parts
Diagram 1
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D
6 of the 15 parts are shaded twice. 615 = 25. Check: 23 × 35 = 615 = 25.
For the teacher: Understanding, low difficulty, standard 2.1.1
Textbook p. 67
3

Question 3

Round off 2.468 to two decimal places.
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C
The digit in the hundredths place is 6. The digit on its right is 8 (5 to 9), so add 1 to 6. 2.468 becomes 2.47.
For the teacher: Remembering, low difficulty, standard 2.2.1
Textbook p. 71
4

Question 4

Diagram 2 shows a number line. Round off the number marked on it to one decimal place.
Number line from 7.40 to 7.50 with 7.46 marked, nearer to 7.50
Diagram 2
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A
The marked number is 7.46. It is nearer to 7.50 than to 7.40, so it becomes 7.5 to one decimal place.
For the teacher: Applying, low difficulty, standard 2.2.1
Textbook p. 70
5

Question 5

9.5 + 4.26 − 3.8 = ______
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C
9.50 + 4.26 = 13.76. Then 13.76 − 3.80 = 9.96. Line up the decimal points and write the extra zeros.
For the teacher: Applying, medium difficulty, standard 2.2.2
Textbook p. 74
6

Question 6

0.056 × 1 000 = ______
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D
Multiplying by 1 000 shifts the decimal point 3 places to the right: 0.056 becomes 56.
For the teacher: Understanding, low difficulty, standard 2.2.3
Textbook p. 77
7

Question 7

5.8 ÷ 4 = ______
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A
5.80 ÷ 4 = 1.45. Check: 4 × 1.45 = 5.80.
For the teacher: Applying, medium difficulty, standard 2.2.4
Textbook p. 78
8

Question 8

Convert 235 to a percentage.
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C
35 = 60100 = 60%. 2 wholes = 200%, so 235 = 200% + 60% = 260%.
For the teacher: Understanding, low difficulty, standard 2.3.1
Textbook p. 80
9

Question 9

Mei Ling saved RM60. Her brother saved 150% of her savings. How much did her brother save?
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B
150% of RM60 = RM60 + 50% of RM60 = RM60 + RM30 = RM90.
For the teacher: Applying, medium difficulty, standard 2.3.2
Textbook p. 82

Section B: structured questions

33 marks
Answer all questions. Show your working.
10

Question 10

Calculate. Give each answer in its simplest form.
[1 mark] (a)4 × 38 =
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Tick each point you got.
[2 marks] (b)25 × 56 =
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 2.1.1
Textbook p. 65
11

Question 11

Look at this calculation: 135 × 56.
[2 marks] (a)Change 135 to an improper fraction, then calculate the answer in its simplest form.
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Tick each point you got.
[1 mark] (b)Is 213 × 47 = 821?
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No
The correct product is 73 × 47 = 43 = 113, not 821. Always change a mixed number to an improper fraction first.
For the teacher: Understanding, medium difficulty, standard 2.1.1
Textbook p. 68
12

Question 12

A pupil's time in a race is 6.2471 seconds. Round it off to:
[1 mark] (a)one decimal place.
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Tick each point you got.
[1 mark] (b)two decimal places.
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Tick each point you got.
[1 mark] (c)three decimal places.
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 2.2.1
Textbook p. 71
13

Question 13

Cik Dina had 3.5 kg of rice. She bought another 2.75 kg of rice, and then used 1.875 kg to cook for a kenduri.
[1 mark] (a)How much rice did she have after buying the rice?
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Tick each point you got.
[2 marks] (b)How much rice was left?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 2.2.2
Textbook p. 74
14

Question 14

A bottle of orange juice contains 0.35 litre.
[2 marks] (a)Calculate the total volume of juice in 25 such bottles.
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Tick each point you got.
[1 mark] (b)What is the total volume in 100 such bottles?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.2.3
Textbook p. 76
15

Question 15

A ribbon is 7.5 m long.
[2 marks] (a)It is cut into 6 equal pieces. What is the length of each piece?
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Tick each point you got.
[1 mark] (b)Another ribbon of 7.5 m is cut into 100 equal pieces. What is the length of each piece?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.2.4
Textbook p. 78
16

Question 16

Convert.
[1 mark] (a)145 to a percentage.
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Tick each point you got.
[2 marks] (b)235% to a mixed number 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. 81
17

Question 17

The table shows the number of stamps collected by Hafiz in three months.
MonthJanuaryFebruaryMarch
Number of stamps506575
[1 mark] (a)Calculate the percentage of the stamps collected in February compared to January.
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Tick each point you got.
[1 mark] (b)Calculate the percentage of the stamps collected in March compared to January.
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Tick each point you got.
[1 mark] (c)In April, Hafiz collected 200% of the stamps in January. How many stamps did he collect?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 2.3.2
Textbook p. 83
18

Question 18

On the first day of a fair, 800 visitors came. On the second day the number of visitors increased by 25% compared to the first day. On the third day it increased by 20% compared to the second day.
[1 mark] (a)How many visitors came on the second day?
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Tick each point you got.
[2 marks] (b)How many visitors came on the third day?
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Tick each point you got.
[1 mark] (c)Hakim says: "The total increase over the two days is 25% + 20% = 45%." Is Hakim correct?
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No
The 20% is of the second day's visitors (1 000), not of the first day's (800). Day 3 compared to day 1 is 1200800 × 100% = 150%, which is an increase of 50%.
For the teacher: Analysing, high difficulty, standard 2.4.1
Textbook p. 86
19

Question 19

Dad donated 34 of his 80 storybooks to a local library. Aini says the books left are 25.
[1 mark] (a)How many storybooks did Dad donate?
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Tick each point you got.
[1 mark] (b)How many storybooks are left?
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Tick each point you got.
[1 mark] (c)Is Aini correct?
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No
Books left = 20, not 25. Check: 14 × 80 = 20.
For the teacher: Evaluating, medium difficulty, standard 2.4.1
Textbook p. 89
20

Question 20

Madius is raising a flag on a pole that is 4.35 m high. He needs a rope to raise the flag. Suggest a suitable length of rope in metres and give a reason.
[2 marks] (a)Write your suggested length and your reason.
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9 m, because the rope must be more than 8.7 m (up and down the pole) and have extra to tie.
Tick each point you got.
For the teacher: Creating, high difficulty, standard 2.4.1
Textbook p. 89