Length, Mass and Volume of Liquid: Mathematics Darjah 5 questions

Section A: objective questions

10 marks

Choose the correct answer.

Convert 3612 cm to mm.

36.5 mm
365 mm
3 650 mm
3.65 mm

Show answerHide answer

12 cm = 0.5 cm, so the length is 36.5 cm. 1 cm = 10 mm, so 36.5 × 10 = 365 mm.

For the teacher: Remembering, low difficulty, standard 5.1.1

Textbook p. 177

Convert 47 mm to cm. Give the answer as a decimal.

47 cm
470 cm
0.47 cm
4.7 cm

Show answerHide answer

Going from mm to cm, divide by 10. 47 ÷ 10 = 4.7 cm.

For the teacher: Remembering, low difficulty, standard 5.1.1

Textbook p. 177

5 m 80 cm = ______ m

5.8
5.08
58
0.58

Show answerHide answer

80 cm = 80 ÷ 100 = 0.8 m. So 5 m 80 cm = 5 m + 0.8 m = 5.8 m.

For the teacher: Understanding, low difficulty, standard 5.1.1

Textbook p. 178

Write 10 300 m in km. Give the answer as a mixed number.

10 3100 km
10 13 km
10 310 km
103 km

Show answerHide answer

10 300 ÷ 1 000 = 10.3 km. 0.3 = 310, so the answer is 10 310 km.

For the teacher: Understanding, low difficulty, standard 5.1.2

Textbook p. 179

A shop buys 1 000 tins of milk powder. Each tin has a mass of 0.65 kg. What is the total mass, in g?

65 000 g
650 000 g
6 500 g
650 g

Show answerHide answer

1 000 × 0.65 kg = 650 kg. 650 × 1 000 = 650 000 g.

For the teacher: Applying, low difficulty, standard 5.2.4

Textbook p. 196

6 025 mℓ = ______ ℓ

6.25
60.25
6.025
6.0025

Show answerHide answer

mℓ to ℓ: divide by 1 000. 6 025 ÷ 1 000 = 6.025 ℓ.

For the teacher: Understanding, low difficulty, standard 5.3.1

Textbook p. 200

A bag has a mass of 4.205 kg. A book has a mass of 0.38 kg. What is their total mass?

4.585 kg
4.243 kg
5.005 kg
4.58 kg

Show answerHide answer

Line up the decimal points: 4.205 + 0.380 = 4.585 kg.

For the teacher: Applying, low difficulty, standard 5.2.2

Textbook p. 191

A stack of 8 identical exercise books is 12 cm thick. What is the thickness of one book, in mm?

1.5 mm
150 mm
0.15 mm
15 mm

Show answerHide answer

12 cm ÷ 8 = 1.5 cm. 1.5 × 10 = 15 mm.

For the teacher: Applying, medium difficulty, standard 5.1.6

Textbook p. 187

Diagram 1 shows the mass of a durian. How many more grams are needed to make 3 kg?

A dial scale with the pointer at 2 kg 300 g — Diagram 1

300 g
7 000 g
700 g
70 g

Show answerHide answer

The pointer shows 2 300 g. 3 000 g − 2 300 g = 700 g.

For the teacher: Applying, low difficulty, standard 5.2.3

Textbook p. 193

Which distance is the longest?

880 m
0.8 km
78 km
750 m

Show answerHide answer

Change all to m: 0.8 km = 800 m, 78 km = 875 m. So the order is 750 m, 800 m, 875 m, 880 m. The longest is 880 m.

For the teacher: Analysing, medium difficulty, standard 5.1.2

Textbook p. 180

Section B: structured questions

30 marks

Answer all questions. Show your working.

Convert the measurements.

[1 mark] (a)9.2 cm = ______ mm

Show answerHide answer

9.2 × 10 = 92 mm [1]1

Tick each point you got.

[1 mark] (b)1.37 m = ______ cm

Show answerHide answer

1.37 × 100 = 137 cm [1]1

Tick each point you got.

[1 mark] (c)42.195 km = ______ m

Show answerHide answer

42.195 × 1 000 = 42 195 m [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 5.1.1

Textbook p. 177

A bottle contains 2 750 mℓ of juice.

[1 mark] (a)Write the volume in ℓ as a decimal.

Show answerHide answer

2 750 ÷ 1 000 = 2.75 ℓ [1]1

Tick each point you got.

[1 mark] (b)Write the volume in ℓ as a mixed number in its simplest form.

Show answerHide answer

2 34 ℓ [1]1

0.75 = 75100 = 34.

Tick each point you got.

[1 mark] (c)Is 0.7 ℓ equal to 710 ℓ?

YesNo

Show answerHide answer

Yes

0.7 means 7 tenths, which is 710. Both are 700 mℓ.

For the teacher: Understanding, low difficulty, standard 5.3.1

Textbook p. 199

Robot P is 48.6 cm tall. Robot Q is 39.9 cm tall. Robot R is 0.8 cm shorter than robot Q.

[1 mark] (a)What is the difference in height between robot P and robot Q?

Show answerHide answer

48.6 − 39.9 = 8.7 cm [1]1

Tick each point you got.

[2 marks] (b)Calculate the height of robot R, in mm.

Show answerHide answer

39.9 − 0.8 = 39.1 cm [1]1
39.1 × 10 = 391 mm [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 5.1.4

Textbook p. 183

Diagram 2 shows the distances on Hani's trip to the bird park. Hani travels from home to the flower shop, then to the restaurant, then to the bird park.

Home to flower shop 6 3/5 km, flower shop to restaurant 2 km 50 m, restaurant to bird park 3.9 km — Diagram 2

[1 mark] (a)Change the distance from Hani's home to the flower shop to m.

Show answerHide answer

6 35 km = 6 000 m + (35 × 1 000) m = 6 600 m [1]1

Tick each point you got.

[2 marks] (b)Calculate the total distance from Hani's home to the bird park, in m.

Show answerHide answer

2 km 50 m = 2 050 m and 3.9 km = 3 900 m [1]1
6 600 + 2 050 + 3 900 = 12 550 m [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 5.1.3

Textbook p. 182

Puan Salmah bought 5.48 kg of flour, 1 250 g of butter and 2 35 kg of sugar.

[2 marks] (a)Calculate the total mass, in kg.

Show answerHide answer

1 250 g = 1.25 kg and 2 35 kg = 2.6 kg [1]1
5.48 + 1.25 + 2.6 = 9.33 kg [1]1

Tick each point you got.

[1 mark] (b)Write the total mass in g.

Show answerHide answer

9.33 × 1 000 = 9 330 g [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 5.2.2

Textbook p. 192

Mak Long poured 2 12 ℓ of syrup equally into 20 small bottles.

[2 marks] (a)Calculate the volume of syrup in one bottle, in mℓ.

Show answerHide answer

2 12 ℓ = 2 500 mℓ [1]1
2 500 ÷ 20 = 125 mℓ [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 5.3.5

Textbook p. 207

Diagram 3 shows the volume of water in three containers, P, Q and R.

P: 2.45 ℓ, Q: 850 mℓ, R: 1 3/4 ℓ — Diagram 3

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

Show answerHide answer

850 mℓ = 0.85 ℓ and 1 34 ℓ = 1.75 ℓ [1]1
2.45 + 0.85 + 1.75 = 5.05 ℓ [1]1

Tick each point you got.

[1 mark] (b)The water in container R is shared equally among 7 glasses. Each glass has 250 mℓ. Is this true?

TrueFalse

Show answerHide answer

True

1 34 ℓ = 1 750 mℓ. 1 750 ÷ 7 = 250 mℓ.

[1 mark] (c)Show your calculation for (b).

Show answerHide answer

1 750 mℓ ÷ 7 = 250 mℓ [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, standard 5.3.2

Textbook p. 201

Farid worked out 9.2 km − 780 m. Diagram 4 shows his working.

Farid's working: 9.2 km − 780 m = 9.2 − 7.8 = 1.4 km — Diagram 4

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

CorrectNot correct

Show answerHide answer

Not correct

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

Show answerHide answer

780 m is 0.78 km, not 7.8 km (he divided by 100 instead of 1 000) [1]1

Tick each point you got.

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

Show answerHide answer

9.2 − 0.78 = 8.42 km [1]1

Tick each point you got.

For the teacher: Evaluating, medium difficulty, standard 5.1.4

Textbook p. 184

Create a story for this number sentence: 2.4 ℓ ÷ 6 = 400 mℓ

[2 marks] (a)Write your story.

Show answerHide answer

Kak Lina has 2.4 ℓ of fruit punch. She pours it equally into 6 cups for a birthday party. Each cup has 400 mℓ of fruit punch.

A daily-life situation where 2.4 ℓ of liquid is shared equally into 6 [1]1
States that each part is 400 mℓ [1]1

Tick each point you got.

For the teacher: Creating, high difficulty, standard 5.4.1

Textbook p. 213

Diagram 5 shows a bar model. Ashley's home is 6 34 km from school. This is 3 times the distance from Jeera's home to school.

Bar model: Ashley's bar is 6 3/4 km and is 3 times as long as Jeera's bar — Diagram 5

[2 marks] (a)Calculate the distance from Jeera's home to school, in m.

Show answerHide answer

6 34 km = 6 750 m [1]1
6 750 ÷ 3 = 2 250 m [1]1

Tick each point you got.

[2 marks] (b)Both pupils go to school and come back home in one day. Calculate the total distance they travel, in m.

Show answerHide answer

Round trip: 2 × (6 750 + 2 250) m [1]1
= 2 × 9 000 = 18 000 m [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 5.4.1

Textbook p. 211

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

Question 19

Question 20