Measurement: Mathematics Darjah 6 questions

Section A: objective questions

10 marks

Choose the correct answer.

2.5 kg = ______ g

250
25 000
2 500
25

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1 kg = 1 000 g, so 2.5 × 1 000 = 2 500 g.

For the teacher: Remembering, low difficulty, standard 5.1.1 (i)

Textbook p. 155

0.96 ℓ = ______ mℓ

960
96
9 600
9.6

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1 ℓ = 1 000 mℓ, so 0.96 × 1 000 = 960 mℓ.

For the teacher: Remembering, low difficulty, standard 5.1.1 (iii)

Textbook p. 160

A weight of 500 g stretches a spring by 3 cm. What weight stretches it by 4.5 cm?

600 g
650 g
700 g
750 g

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1.5 cm needs 250 g (half of 500 g). 3 cm + 1.5 cm = 4.5 cm, so 500 g + 250 g = 750 g.

For the teacher: Understanding, low difficulty, standard 5.1.1 (i)

Textbook p. 157

A book 2 cm thick has mass 500 g. Books of the same type are piled up to 8 cm. What is the mass of the pile?

1.5 kg
2 kg
2.5 kg
4 kg

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8 cm is 4 × 2 cm, so the mass is 4 × 500 g = 2 000 g = 2 kg.

For the teacher: Understanding, low difficulty, standard 5.1.1 (i)

Textbook p. 155

A car uses 3 ℓ of petrol for every 100 km. How much petrol does it use for 250 km?

6.5 ℓ
7 ℓ
7.5 ℓ
8 ℓ

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250 km is 2.5 × 100 km. 2.5 × 3 ℓ = 7.5 ℓ.

For the teacher: Understanding, low difficulty, standard 5.1.1 (ii)

Textbook p. 158

A 4 m metal rod has mass 3.2 kg. What is the mass of a 7 m rod of the same metal?

5.6 kg
5.2 kg
4.8 kg
6.4 kg

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1 m has mass 3.2 ÷ 4 = 0.8 kg. 7 × 0.8 = 5.6 kg.

For the teacher: Applying, medium difficulty, standard 5.1.1 (i)

Textbook p. 156

120 mℓ of milk needs 55 g of chocolate. How much chocolate is needed for 360 mℓ of milk?

110 g
135 g
150 g
165 g

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360 ÷ 120 = 3, so 3 × 55 g = 165 g.

For the teacher: Understanding, low difficulty, standard 5.1.1 (iii)

Textbook p. 160

A bottle with straight sides holds 600 mℓ when the water is 15 cm high. What volume of water is there when the level is 5 cm?

100 mℓ
200 mℓ
300 mℓ
400 mℓ

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5 cm is one third of 15 cm, so the volume is 600 ÷ 3 = 200 mℓ.

For the teacher: Understanding, medium difficulty, standard 5.1.1 (ii)

Textbook p. 159

A 3 m rod has mass 2.4 kg. Aiman says that a 5 m rod of the same metal has mass 4 kg. Which statement is correct?

Aiman is correct: 2.4 ÷ 3 = 0.8 and 5 × 0.8 = 4
Aiman is wrong: it should be 4.8 kg
Aiman is wrong: it should be 12 kg
Aiman is wrong: it should be 3.2 kg

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1 m has mass 2.4 ÷ 3 = 0.8 kg, so 5 m has mass 5 × 0.8 = 4 kg. Aiman is correct.

For the teacher: Evaluating, medium difficulty, standard 5.1.1 (i)

Textbook p. 156

Which one is not equal to 2.5 ℓ?

2 500 mℓ
2 ℓ 500 mℓ
2½ ℓ
250 mℓ

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2.5 ℓ = 2 500 mℓ = 2 ℓ 500 mℓ = 2½ ℓ. 250 mℓ is only 0.25 ℓ.

For the teacher: Analysing, high difficulty, standard 5.1.1 (iii)

Textbook p. 161

Section B: structured questions

31 marks

Answer all questions. Show your working.

Change the units.

[1 mark] (a)3.6 ℓ = ______ mℓ

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3 600 mℓ [1]1

Tick each point you got.

[1 mark] (b)0.75 kg = ______ g

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750 g [1]1

Tick each point you got.

[1 mark] (c)2.4 km = ______ m

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2 400 m [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 5.1.1 (iii)

Textbook p. 160

A book P is 1 cm thick and has mass 250 g. Book Q is of the same type but 5 cm thick.

[2 marks] (a)Find the mass of book Q in g.

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5 × 250 g [1]1
1 250 g [1]1

Tick each point you got.

[1 mark] (b)Write the mass of book Q in kg.

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1.25 kg [1]1

Tick each point you got.

[1 mark] (c)Books P and Q are put together. Find their total mass in kg.

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1.25 + 0.25 = 1.5 kg [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 5.1.1 (i)

Textbook p. 155

Hana travels from home to town along a road that is 15 km, 24 km and 11 km long in three sections. Her car uses 6.5 ℓ of petrol for every 100 km.

[2 marks] (a)Find the distance of a round trip.

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15 + 24 + 11 = 50 km [1]1
50 × 2 = 100 km [1]1

Tick each point you got.

[1 mark] (b)How much petrol does she use for the round trip?

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6.5 ℓ [1]1

Tick each point you got.

[2 marks] (c)How much petrol does she use for 40 km?

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20 km uses 6.5 ÷ 5 = 1.3 ℓ [1]1
40 km uses 2 × 1.3 = 2.6 ℓ [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 5.1.1 (ii)

Textbook p. 158

A spring scale stretches 2 cm when a 500 g weight is hung on it. The longest stretch it allows is 8 cm.

[1 mark] (a)How far does it stretch for 1 kg?

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1 000 g is 2 × 500 g, so 4 cm [1]1

Tick each point you got.

[1 mark] (b)How far does it stretch for 250 g?

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2 cm ÷ 2 = 1 cm [1]1

Tick each point you got.

[2 marks] (c)What is the greatest weight, in kg, that can be hung on it?

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8 cm = 4 × 2 cm [1]1
4 × 500 g = 2 000 g = 2 kg [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 5.1.1 (i)

Textbook p. 157

One glass of a drink uses 200 mℓ of milk, 30 g of sugar and 60 g of chocolate. Aina uses 0.8 ℓ of milk.

[1 mark] (a)Change 0.8 ℓ to mℓ.

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800 mℓ [1]1

Tick each point you got.

[1 mark] (b)How many glasses can she make?

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800 ÷ 200 = 4 [1]1

Tick each point you got.

[1 mark] (c)How much sugar does she need?

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4 × 30 g = 120 g [1]1

Tick each point you got.

[1 mark] (d)How much chocolate does she need for 3 glasses?

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3 × 60 g = 180 g [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 5.1.1 (iii)

Textbook p. 160

For making organic fertiliser, 1 kg of waste needs 150 g of black soil and 1 ℓ of water. Farid has 3.5 kg of waste, 500 g of black soil and 4 ℓ of water.

[1 mark] (a)How much black soil does he need?

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3.5 × 150 g = 525 g [1]1

Tick each point you got.

[1 mark] (b)How much water does he need?

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3.5 ℓ [1]1

Tick each point you got.

[2 marks] (c)Does Farid have enough of both? Explain.

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Water: 4 ℓ is more than 3.5 ℓ, enough [1]1
Soil: 500 g is 25 g less than 525 g, not enough [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 5.1.1 (iii)

Textbook p. 162

Metal rod R is 50 cm long and has mass 6.5 kg. Rod S is of the same metal and is 0.8 m long.

[1 mark] (a)Change 0.8 m to cm.

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80 cm [1]1

Tick each point you got.

[2 marks] (b)Find the mass of rod S.

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10 cm has mass 6.5 ÷ 5 = 1.3 kg [1]1
80 cm: 8 × 1.3 = 10.4 kg [1]1

Tick each point you got.

[1 mark] (c)Find the difference in mass between S and R.

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10.4 − 6.5 = 3.9 kg [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, standard 5.1.1 (i)

Textbook p. 163

A bottle with straight sides is 25 cm tall and holds 1 500 mℓ when full. After some water is drunk, the level is 10 cm.

[1 mark] (a)What volume of water fills 1 cm of the bottle?

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1 500 ÷ 25 = 60 mℓ [1]1

Tick each point you got.

[1 mark] (b)What volume of water is left?

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10 × 60 = 600 mℓ [1]1

Tick each point you got.

[1 mark] (c)What volume of water was drunk?

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1 500 − 600 = 900 mℓ [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 5.1.1 (ii)

Textbook p. 163

Section A: objective questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Section B: structured questions

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18