Length, Mass and Volume of Liquid: Mathematics Darjah 3 questions

Section A: objective questions

8 marks

Choose the correct answer for each question.

7 m 23 cm = ______ cm

7 023 cm
723 cm
730 cm
7 230 cm

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7 m = 7 × 100 = 700 cm. 700 cm + 23 cm = 723 cm.

For the teacher: Remembering, low difficulty, standard 6.1.1

Textbook p. 51

9 010 g = ______

9 kg 1 g
90 kg 10 g
9 kg 100 g
9 kg 10 g

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9 010 g = 9 000 g + 10 g = 9 kg 10 g. Grams have three places, so the gram part is 010.

For the teacher: Understanding, medium difficulty, standard 6.2.1

Textbook p. 61

Diagram 1 shows a bottle of fabric softener. What is its volume in ℓ and mℓ?

3 ℓ 70 mℓ
3 ℓ 700 mℓ
30 ℓ 70 mℓ
3 ℓ 7 mℓ

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3 070 mℓ = 3 000 mℓ + 70 mℓ = 3 ℓ 70 mℓ.

For the teacher: Understanding, medium difficulty, standard 6.3.1

Textbook p. 71

Diagram 2 shows the path from the canteen to the library, passing the hall. What is the distance from the canteen to the library?

Canteen to hall 245 m, hall to library 368 m — Diagram 2

123 m
503 m
613 m
713 m

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245 m + 368 m = 613 m. 503 m forgets to carry; 123 m subtracts instead of adding.

For the teacher: Applying, low difficulty, standard 6.1.2

Textbook p. 52

Mak Cik Ros buys 4 packets of flour like the one in Diagram 3 to make kuih raya. What is the total mass of the flour?

A packet of flour labelled 1 kg 250 g — Diagram 3

4 kg 250 g
5 kg 250 g
5 kg
50 kg

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1 kg 250 g = 1 250 g. 4 × 1 250 g = 5 000 g = 5 kg. 4 kg 250 g multiplies only the kg part.

For the teacher: Applying, medium difficulty, standard 6.2.4

Textbook p. 66

8 ℓ − 3 ℓ 150 mℓ = ______ mℓ

4 850 mℓ
5 150 mℓ
5 850 mℓ
4 150 mℓ

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8 ℓ = 8 000 mℓ and 3 ℓ 150 mℓ = 3 150 mℓ. 8 000 − 3 150 = 4 850 mℓ.

For the teacher: Applying, medium difficulty, standard 6.3.3

Textbook p. 75

Ayah cuts a rope 9 m 60 cm long into 4 equal pieces. How long is each piece?

2 m 15 cm
2 m 4 cm
24 m
2 m 40 cm

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9 m 60 cm = 960 cm. 960 ÷ 4 = 240 cm = 2 m 40 cm.

For the teacher: Applying, medium difficulty, standard 6.1.5

Textbook p. 59

Diagram 4 shows the water in a measuring jug. How much more water is needed to make it 1 ℓ?

Measuring jug with water at 650 mℓ — Diagram 4

450 mℓ
350 mℓ
650 mℓ
1 650 mℓ

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Each small mark is 50 mℓ, so the water is at 650 mℓ. 1 ℓ = 1 000 mℓ. 1 000 − 650 = 350 mℓ.

For the teacher: Analysing, high difficulty, standard 6.3.2

Textbook p. 72

Section B: structured questions

24 marks

Answer all questions. Show your working.

Fill in the blanks.

[1 mark] (a)1 m = ______ cm

101001 000

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100

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

101001 000

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1 000

[1 mark] (c)1 ℓ = ______ mℓ

101001 000

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1 000

For the teacher: Remembering, low difficulty, standard 6.1.1

Textbook p. 49

Diagram 5 shows a picture frame in the school hall.

Picture frame 106 cm wide and 210 cm high — Diagram 5

[1 mark] (a)Write the height of the frame in m and cm.

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210 cm = 200 cm + 10 cm = 2 m 10 cm1

Tick each point you got.

[1 mark] (b)Write the width of the frame in m and cm.

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106 cm = 100 cm + 6 cm = 1 m 6 cm (not 1 m 60 cm)1

Tick each point you got.

For the teacher: Understanding, medium difficulty, standard 6.1.1

Textbook p. 51

Diagram 6 shows the mass of a durian and a pineapple at a fruit stall. Each small mark on the scale is 100 g.

Scale pointer 4 small marks after 2 kg — Durian

Scale pointer 1 small mark before 1 kg — Durian

[1 mark] (a)What is the mass of the durian, in g?

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2 kg 400 g = 2 400 g1

Tick each point you got.

[2 marks] (b)Calculate the total mass of the durian and the pineapple. Give your answer in kg and g.

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2 400 g + 900 g = 3 300 g [1]1
= 3 kg 300 g [1]1

Tick each point you got.

[1 mark] (c)How much heavier is the durian than the pineapple?

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2 400 g − 900 g = 1 500 g (or 1 kg 500 g)1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 6.2.2

Textbook p. 62

Mak Long makes sirap bandung for a kenduri. She fills 6 jugs like the one in Diagram 7.

[2 marks] (a)Calculate the total volume of sirap bandung, in ℓ and mℓ.

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6 × 1 250 mℓ = 7 500 mℓ [1]1
= 7 ℓ 500 mℓ [1]1

Tick each point you got.

[1 mark] (b)The guests drink 5 ℓ 680 mℓ. How much sirap bandung is left?

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7 500 mℓ − 5 680 mℓ = 1 820 mℓ (or 1 ℓ 820 mℓ)1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 6.3.4

Textbook p. 77

Diagram 8 shows 6 lamp posts along the road in Taman Melati. The distance between two lamp posts next to each other is 25 m.

Six lamp posts, each 25 m apart — Diagram 8

[1 mark] (a)How many gaps are there between the first and the last lamp post?

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5 gaps (6 posts − 1)1

Tick each point you got.

[1 mark] (b)Calculate the distance from the first lamp post to the last lamp post.

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5 × 25 m = 125 m1

Count the gaps, not the posts. 6 × 25 = 150 m is a common mistake.

Tick each point you got.

For the teacher: Analysing, high difficulty, standard 6.1.4

Textbook p. 56

Aiman's mass is 28 kg. His father's mass is 3 times Aiman's mass. Diagram 9 shows a bar model.

Bar model: Aiman one bar of 28 kg; father three bars of 28 kg — Diagram 9

[1 mark] (a)What is the mass of Aiman's father?

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3 × 28 kg = 84 kg1

Tick each point you got.

[1 mark] (b)What is the total mass of Aiman and his father?

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28 kg + 84 kg = 112 kg1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 6.4.2

Textbook p. 81

Siti solved 8 kg 62 g − 2 350 g. Diagram 10 shows her working.

Siti's working: 8 kg 62 g = 8 620 g; 8 620 g − 2 350 g = 6 270 g — Diagram 10

[1 mark] (a)Is Siti's answer correct?

CorrectNot correct

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Not correct

[1 mark] (b)Explain Siti's mistake.

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8 kg 62 g is 8 062 g, not 8 620 g (the gram part needs three places: 062)1

Tick each point you got.

[1 mark] (c)Find the correct answer.

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8 062 g − 2 350 g = 5 712 g (or 5 kg 712 g)1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 6.2.3

Textbook p. 65

Create a story for this number sentence: 1 kg 500 g ÷ 3 = 500 g

[2 marks] (a)Write your story.

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Ibu buys 1 kg 500 g of prawns at the pasar. She divides them equally into 3 bags to keep in the freezer. Each bag has 500 g of prawns.

A daily-life situation where 1 kg 500 g of something is shared / divided equally into 3 [1]1
States that each part is 500 g [1]1

Tick each point you got.

For the teacher: Creating, high difficulty, standard 6.4.1

Textbook p. 80

Diagram 11 shows the volume of water in three containers, A, B and C.

A: 1 ℓ 650 mℓ, B: 3 200 mℓ, C: 2 ℓ 75 mℓ — Diagram 11

[2 marks] (a)Calculate the total volume of water in all three containers, in ℓ and mℓ.

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1 650 mℓ + 3 200 mℓ + 2 075 mℓ = 6 925 mℓ [1]1
= 6 ℓ 925 mℓ [1]1

Tick each point you got.

[1 mark] (b)Find the difference in volume, in mℓ, between container B and container C.

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3 200 mℓ − 2 075 mℓ = 1 125 mℓ1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 6.3.2

Textbook p. 73

Section A: objective questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Section B: structured questions

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17