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

Fractions, Decimals and Percentages

32 marks. Use Practice to check each answer as you go, or Exam to answer everything first. Show your working on paper for Section B.

Section A: objective questions

8 marks
Choose the correct answer for each question.
1

Question 1

Diagram 1 shows a circle cut into equal parts. What fraction of the circle is shaded?
Circle cut into 8 equal parts, 3 parts shaded
Diagram 1
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A
There are 8 equal parts (denominator) and 3 are shaded (numerator): 38. 58 is the part that is not shaded.
For the teacher: Remembering, low difficulty, standard 3.1.1
Textbook p. 82
2

Question 2

Diagram 2 shows some balloons at a Hari Raya open house. State the fraction of the red balloons.
9 balloons: 4 red and 5 yellow
Diagram 2
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C
There are 9 balloons altogether and 4 are red, so the fraction is 49, four over nine. Four over five compares red with yellow, not with all the balloons.
For the teacher: Understanding, low difficulty, standard 3.1.1
Textbook p. 82
3

Question 3

Which of these is an improper fraction?
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B
In an improper fraction the numerator is larger than or equal to the denominator. 9 is larger than 5. 213 is a mixed number; 34 and 58 are proper fractions.
For the teacher: Remembering, low difficulty, standard 3.1.7
Textbook p. 88
4

Question 4

Which fraction is equivalent to 23?
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D
Multiply the numerator and the denominator by 2: 2 × 2 = 4 and 3 × 2 = 6, so 23 = 46. 26 only changed the denominator.
For the teacher: Understanding, medium difficulty, standard 3.1.2
Textbook p. 84
5

Question 5

What is 68 in its simplest form?
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A
6 ÷ 2 = 3 and 8 ÷ 2 = 4, so 68 = 34. 3 and 4 can only both be divided by 1. 38 divides only the numerator.
For the teacher: Applying, medium difficulty, standard 3.1.3
Textbook p. 85
6

Question 6

What decimal does the shaded part of Diagram 3 show?
Hundred square with 72 squares shaded
Diagram 3
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D
72 of the 100 squares are shaded: 72100 = 0.72. 0.28 is the unshaded part.
For the teacher: Understanding, low difficulty, standard 3.2.2
Textbook p. 97
7

Question 7

Write 0.07 as a percentage.
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C
0.07 = 7100 = 7%. 70% would be 0.70.
For the teacher: Applying, medium difficulty, standard 3.4.3
Textbook p. 106
8

Question 8

Siti weighs four packets of keropok. Which mass is the heaviest?
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B
Compare the tenths first: 0.4 has 4 tenths, 0.38 has 3, 0.15 has 1 and 0.09 has 0. 0.4 kg = 0.40 kg is the heaviest. 0.38 has more digits but is smaller.
For the teacher: Analysing, high difficulty, standard 3.2.3
Textbook p. 99

Section B: structured questions

24 marks
Answer all questions. Show your working.
9

Question 9

Diagram 4 shows some kuih. Each kuih is cut into 4 equal pieces. The shaded pieces are not eaten yet.
Three round kuih in quarters: two fully shaded, one with 3 quarters shaded
Diagram 4
[1 mark] (a)Write the shaded parts as a mixed number.
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Tick each point you got.
[1 mark] (b)Write the shaded parts as an improper fraction.
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 3.1.7
Textbook p. 88
10

Question 10

Fill in the blanks.
[1 mark] (a)35 = ☐10
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Tick each point you got.
[1 mark] (b)Write 810 in its simplest form.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 3.1.2
Textbook p. 84
11

Question 11

Calculate. Give your answers in the simplest form.
[1 mark] (a)27 + 37 =
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Tick each point you got.
[2 marks] (b)12 + 38 =
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 3.1.5
Textbook p. 91
12

Question 12

Calculate. Give your answers in the simplest form.
[1 mark] (a)57 − 27 =
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Tick each point you got.
[2 marks] (b)78 − 14 =
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 3.1.6
Textbook p. 95
13

Question 13

Diagram 5 is a hundred square. Some squares are coloured.
Hundred square with 47 squares coloured
Diagram 5
[1 mark] (a)Write the coloured part as a decimal.
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Tick each point you got.
[1 mark] (b)Write the coloured part as a percentage.
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 3.4.2
Textbook p. 105
14

Question 14

Diagram 6 shows the favourite drinks of 100 pupils at the school canteen. The whole circle is 100%. The percentage for orange juice is hidden.
Pie chart: Milo 45%, sirap bandung 20%, orange juice unknown
Diagram 6
[1 mark] (a)What percentage of the pupils like orange juice?
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Tick each point you got.
[1 mark] (b)Which drink is the most popular?
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Tick each point you got.
[1 mark] (c)How many pupils like sirap bandung?
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Tick each point you got.
For the teacher: Analysing, high difficulty, standard 3.3.1
Textbook p. 104
15

Question 15

Diagram 7 shows two ribbons that Mei Ling uses to wrap Deepavali presents.
Red ribbon 0.48 m and blue ribbon 0.3 m
Diagram 7
[1 mark] (a)What is the total length of the two ribbons?
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Tick each point you got.
[1 mark] (b)How much longer is the red ribbon than the blue ribbon?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 3.2.4
Textbook p. 101
16

Question 16

Solve the problems. Ibu bakes biscuits for Hari Raya. She uses 310 of a tin of flour on Monday and 25 of the tin on Tuesday.
[2 marks] (a)What fraction of the tin of flour does she use altogether?
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Tick each point you got.
[1 mark] (b)How much more flour does she use on Tuesday than on Monday?
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Tick each point you got.
For the teacher: Applying, high difficulty, standard 3.5.2
Textbook p. 110
17

Question 17

Adam wrote this answer: 14 + 24 = 38
[1 mark] (a)Is Adam's answer correct?
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Not correct
[1 mark] (b)Explain his mistake and write the correct answer.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 3.1.5
Textbook p. 92
18

Question 18

Create a story based on this number sentence: 0.8 ℓ − 0.35 ℓ = 0.45 ℓ
[2 marks] (a)Write your story.
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Mak has 0.8 ℓ of coconut milk. She uses 0.35 ℓ to cook rendang. 0.45 ℓ of coconut milk is left.
Tick each point you got.
For the teacher: Creating, high difficulty, standard 3.5.1
Textbook p. 109