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Mathematics questions, unit 6

Length, Mass and Volume of Liquid

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

Section A: objective questions

12 marks
Choose the correct answer.
1

Question 1

Which unit is best for the length of a pencil?
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A
A pencil is short, so we use centimetres (cm).
For the teacher: Remembering, low difficulty, standard 6.1.1
Textbook p. 55
2

Question 2

Which is the symbol for metre?
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B
The symbol for metre is m. cm is centimetre, mℓ is millilitre and g is gram.
For the teacher: Remembering, low difficulty, standard 6.1.1
Textbook p. 55
3

Question 3

Diagram 1 shows a rubber on a ruler. What is the length of the rubber?
A rubber from 0 to 9 on a ruler
Diagram 1
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C
The rubber starts at 0 and ends at 9, so it is 9 cm long.
For the teacher: Understanding, low difficulty, standard 6.1.2
Textbook p. 56
4

Question 4

1 m = ______ cm
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D
1 metre is the same as 100 centimetres.
For the teacher: Remembering, low difficulty, standard 6.1.1
Textbook p. 55
5

Question 5

1 kg = ______
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A
1 kilogram is the same as 1 000 grams.
For the teacher: Remembering, low difficulty, standard 6.2.1
Textbook p. 62
6

Question 6

Diagram 2 shows the needle of a weighing scale. Each small mark is 100 g. What is the mass of the sugar?
Weighing scale with the needle at 600 g
Diagram 2
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B
The needle is 1 mark after 500 g. 500 g + 100 g = 600 g.
For the teacher: Understanding, low difficulty, standard 6.2.2
Textbook p. 63
7

Question 7

One mango has a mass of about 300 g. What is the mass of 2 mangoes of the same size?
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C
300 g + 300 g = 600 g, so about 600 g.
For the teacher: Applying, medium difficulty, standard 6.2.3
Textbook p. 64
8

Question 8

Which is the symbol for litre?
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D
The symbol for litre is ℓ. mℓ is millilitre.
For the teacher: Remembering, low difficulty, standard 6.3.1
Textbook p. 66
9

Question 9

1 ℓ = ______
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A
1 litre is the same as 1 000 millilitres.
For the teacher: Remembering, low difficulty, standard 6.3.1
Textbook p. 67
10

Question 10

Diagram 3 shows water in a beaker. Each small mark is 20 mℓ. What is the volume of the water?
A 100 mℓ beaker with water at 80 mℓ
Diagram 3
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B
The water level is at the 4th mark, 4 × 20 = 80 mℓ.
For the teacher: Understanding, low difficulty, standard 6.3.2
Textbook p. 68
11

Question 11

Which volume is most likely the volume of water in a small drinking glass?
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C
A glass holds a little water, about 200 mℓ. 2 ℓ is a big bottle and 20 mℓ is only a few spoons.
For the teacher: Applying, medium difficulty, standard 6.3.3
Textbook p. 70
12

Question 12

Mum makes 2 ℓ of syrup. Which container can hold all of it?
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D
2 ℓ is more than 250 mℓ, 500 mℓ and 1 ℓ, so only the 5 ℓ bucket can hold it.
For the teacher: Analysing, high difficulty, standard 6.4.1
Textbook p. 75

Section B: structured questions

17 marks
Answer all questions.
13

Question 13

Choose the correct number.
[1 mark] (a)1 m = ______ cm
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100
[1 mark] (b)1 kg = ______ g
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1 000
[1 mark] (c)1 ℓ = ______ mℓ
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1 000
For the teacher: Remembering, low difficulty, standard 6.1.1
Textbook p. 55
14

Question 14

Diagram 4 shows a leaf on a ruler.
A leaf from 0 to 8 on a ruler
Diagram 4
[1 mark] (a)What is the length of the leaf?
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Tick each point you got.
[1 mark] (b)A twig is 11 cm long. Is the twig longer or shorter than the leaf?
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longer
11 cm is more than 8 cm.
For the teacher: Understanding, low difficulty, standard 6.1.2
Textbook p. 56
15

Question 15

Diagram 5 shows the mass of a papaya and of some eggs. On the eggs scale, each small mark is 100 g.
Weighing scale with the needle at 3 kg
Papaya
Weighing scale with the needle at 400 g
Eggs
[1 mark] (a)What is the mass of the papaya?
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Tick each point you got.
[1 mark] (b)What is the mass of the eggs?
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Tick each point you got.
[1 mark] (c)Which is heavier, the papaya or the eggs?
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papaya
3 kg is 3 000 g, which is more than 400 g.
For the teacher: Applying, low difficulty, standard 6.2.2
Textbook p. 63
16

Question 16

Diagram 6 shows water in a beaker. Each small mark is 50 mℓ.
A 250 mℓ beaker with water at 150 mℓ
Diagram 6
[1 mark] (a)What is the volume of the water?
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Tick each point you got.
[2 marks] (b)Azim needs 200 mℓ of water. How much more water must he pour in?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 6.3.2
Textbook p. 68
17

Question 17

Julia has a mass of 27 kg. Saiful has a mass of 30 kg. Nisha is heavier than Julia but lighter than Saiful.
[2 marks] (a)Write two masses (in whole kilograms) that Nisha could be.
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 6.4.1
Textbook p. 74
18

Question 18

A child shorter than 90 cm does not pay for a cable car ticket. Kamal is 1 m tall.
[1 mark] (a)Write 1 m in cm.
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Tick each point you got.
[1 mark] (b)Kamal's brother is 95 cm tall. Does he pay for a ticket? Why?
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Tick each point you got.
For the teacher: Analysing, high difficulty, standard 6.4.1
Textbook p. 73
19

Question 19

Sue Chin wants to clean her bicycle. She can use a bucket of 8 ℓ or a cup of 80 mℓ.
[1 mark] (a)Which should she use?
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the 8 ℓ bucket
She needs a lot of water.
[1 mark] (b)Why?
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Tick each point you got.
For the teacher: Evaluating, medium difficulty, standard 6.4.1
Textbook p. 74