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Mathematics questions, unit 5
Nama / NameKelas / ClassTarikh / Date

Length, Mass and Volume of Liquid

41 marks. Use Practice to check each answer as you go, or Exam to answer everything against the clock first.

Section A: objective questions

8 marks
Choose the correct answer.
1

Question 1

Which unit is best for stating the distance between Kuantan and Pekan?
Show answerHide answer
C
Two towns are far apart, so we use kilometres (km). Millimetres and centimetres are for small objects.
For the teacher: Remembering, low difficulty, standard 5.1.1
Textbook p. 172
2

Question 2

6 cm 5 mm = ______
Show answerHide answer
A
6 cm = 60 mm, so 6 cm 5 mm = 60 mm + 5 mm = 65 mm. 605 mm is wrong because it mixes 6 cm = 600 mm up with 60 mm.
For the teacher: Understanding, low difficulty, standard 5.1.2
Textbook p. 174
3

Question 3

7 km 25 m = ______
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D
7 km = 7 000 m. 7 000 m + 25 m = 7 025 m. The metres part must have three digits, so 25 m is 025.
For the teacher: Understanding, low difficulty, standard 5.1.3
Textbook p. 175
4

Question 4

Town P is 38 km from town Q. Town R is on the same road, about half that distance from town Q. What is the estimated distance from Q to R?
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B
About half of 38 km is 38 ÷ 2 = 19 km. 76 km is double, not half.
For the teacher: Applying, low difficulty, standard 5.1.5
Textbook p. 176
5

Question 5

12 km 600 m + 5 km 700 m = ______
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B
600 m + 700 m = 1 300 m = 1 km 300 m. Then 12 km + 5 km + 1 km = 18 km. Answer 18 km 300 m.
For the teacher: Applying, low difficulty, standard 5.1.6
Textbook p. 177
6

Question 6

5 kg − 750 g + 2 kg 300 g = ______ g
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D
5 000 g − 750 g = 4 250 g. 4 250 g + 2 300 g = 6 550 g.
For the teacher: Applying, medium difficulty, standard 5.2.1
Textbook p. 184
7

Question 7

2 ℓ of syrup is shared equally into 8 bottles. How much syrup is in each bottle?
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A
2 ℓ = 2 000 mℓ. 2 000 ÷ 8 = 250 mℓ.
For the teacher: Applying, low difficulty, standard 5.3.2
Textbook p. 190
8

Question 8

Diagram 1 shows containers P and Q. The volume of water in P is 395 mℓ less than in Q. What is the volume of water in P?
Container Q holds 2 ℓ 40 mℓ; container P is unknown
Diagram 1
Show answerHide answer
C
Q = 2 040 mℓ. Less than means subtract: 2 040 − 395 = 1 645 mℓ. 2 435 mℓ adds instead.
For the teacher: Analysing, medium difficulty, standard 5.4.1
Textbook p. 195

Section B: structured questions

33 marks
Answer all questions. Show your working.
9

Question 9

Diagram 2 shows a key beside a ruler marked in millimetres.
A key lying from 0 mm to 47 mm on a ruler
Diagram 2
[1 mark] (a)What is the length of the key in mm?
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Tick each point you got.
[1 mark] (b)Write the length in cm and mm.
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 5.1.4
Textbook p. 173
10

Question 10

Complete these.
[1 mark] (a)9 cm 3 mm = ______ mm
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Tick each point you got.
[1 mark] (b)840 mm = ______ cm
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Tick each point you got.
[1 mark] (c)5 km 80 m = ______ m
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Tick each point you got.
[1 mark] (d)12 450 m = ______ km ______ m
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 5.1.2, 5.1.3
Textbook p. 174
11

Question 11

Diagram 3 shows the distance from Aini's house to the town.
Aini's house to the town is 24 km
Diagram 3
[1 mark] (a)Kampung Baru is about 2 times as far from her house as the town. Estimate the distance to Kampung Baru.
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Tick each point you got.
[1 mark] (b)The clinic is about half the distance from her house to the town. Estimate the distance to the clinic.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 5.1.5
Textbook p. 176
12

Question 12

Diagram 4 shows the route from Kampung Baru to Rawang.
Kampung Baru to Kuala Kubu 17 km 450 m, Kuala Kubu to Rawang 9 km 800 m
Diagram 4
[2 marks] (a)Calculate the distance from Kampung Baru to Rawang, in km and m.
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Tick each point you got.
[1 mark] (b)Hakim travels to Rawang and back the same way. How far does he travel altogether?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 5.1.6
Textbook p. 177
13

Question 13

A ribbon is 30 cm 2 mm long. Aina cuts off 8 cm 7 mm.
[2 marks] (a)What is the length of the remaining ribbon, in mm?
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Tick each point you got.
[1 mark] (b)She then cuts off another 95 mm. How long is the ribbon now, in cm?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 5.1.7
Textbook p. 179
14

Question 14

Calculate.
[1 mark] (a)6 × 4 cm 7 mm = ______ cm ______ mm
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Tick each point you got.
[1 mark] (b)20 cm 4 mm ÷ 6 = ______ mm
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Tick each point you got.
[2 marks] (c)A wire of length 84 cm 8 mm is bent to make a square. What is the length of one side, in cm and mm?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 5.1.8, 5.1.9
Textbook p. 181
15

Question 15

Diagram 5 shows the flour that Mak uses for cakes. 480 g of the flour is spilled.
3 kg of wheat flour, 2 kg 250 g of rice flour and 480 g spilled
Diagram 5
[2 marks] (a)What is the mass of flour left, in g?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 5.2.1
Textbook p. 184
16

Question 16

Mother has 3 bags of sugar, 5 kg in each bag. She repacks all the sugar equally into 12 packets. What is the mass of sugar in one packet, in g?
[2 marks] (a)Show your working.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 5.2.2
Textbook p. 186
17

Question 17

A tank has 6 ℓ 250 mℓ of water. Father pours in another 1 ℓ 800 mℓ. Then 3 500 mℓ is used to water the plants.
[2 marks] (a)How much water is left in the tank, in mℓ?
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Tick each point you got.
[1 mark] (b)Write your answer in ℓ and mℓ.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 5.3.1
Textbook p. 188
18

Question 18

Raju worked out 4 km 60 m + 1 km 950 m. Diagram 6 shows his working.
Raju's working: 4 km 60 m = 4 460 m; 4 460 m plus 1 950 m equals 6 410 m
Diagram 6
[1 mark] (a)Raju made a mistake in the first line. Explain it.
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Tick each point you got.
[2 marks] (b)Write the correct sum 4 km 60 m + 1 km 950 m in km and m.
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Tick each point you got.
For the teacher: Analysing, high difficulty, standard 5.1.6
Textbook p. 177
19

Question 19

Hana cycles 4 km 350 m to school and the same way back home every school day. She cycles on 5 days. Her friend says, "Hana cycles more than 40 km in these 5 days." Is the friend correct?
[3 marks] (a)Show how you know.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 5.4.1
Textbook p. 194
20

Question 20

Create a short story based on this number sentence: 3 × 2 ℓ 500 mℓ = 7 ℓ 500 mℓ
[2 marks] (a)Write your story.
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Mak fills 3 bottles with 2 ℓ 500 mℓ of syrup each. She uses 7 ℓ 500 mℓ of syrup altogether.
Tick each point you got.
For the teacher: Creating, medium difficulty, standard 5.4.1
Textbook p. 192