Data Handling: Mathematics Darjah 4 questions

Section A: objective questions

8 marks

Choose the correct answer.

Diagram 1 shows the cakes sold at the school canteen. How many cakes were sold on Thursday?

Pictograph of cakes sold: Monday 4 symbols, Tuesday 6, Wednesday 3, Thursday 8; each symbol is 5 cakes — Diagram 1

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Thursday has 8 symbols. Each symbol is 5 cakes, so 8 × 5 = 40 cakes.

For the teacher: Remembering, low difficulty, standard 8.1.2

Textbook p. 236

Look at Diagram 1 again. On which day were the fewest cakes sold?

Wednesday
Monday
Thursday
Tuesday

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Wednesday has the fewest symbols (3), so it has the fewest cakes (15).

For the teacher: Understanding, low difficulty, standard 8.1.2

Textbook p. 236

Look at Diagram 1 again. What is the total number of cakes sold in the four days?

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Symbols: 4 + 6 + 3 + 8 = 21. Cakes: 21 × 5 = 105. (21 is only the number of symbols.)

For the teacher: Applying, low difficulty, standard 8.1.2

Textbook p. 236

A teacher wants to draw a bar chart for the data 20, 40, 60 and 80. Which scale on the vertical axis is the most suitable?

0, 1, 2, 3, 4 …
0, 3, 7, 12, 20 …
0, 100, 200, 300 …
0, 20, 40, 60, 80, 100

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The scale must go up in equal steps and be big enough for 80. Counting in 20s is suitable. Counting in 1s needs too many lines, and counting in 100s makes the bars too short. 0, 3, 7, 12 is not equal steps.

For the teacher: Understanding, low difficulty, standard 8.1.1

Textbook p. 234

Diagram 2 shows the number of pupils in four Year 4 classes. How many more pupils are in the biggest class than in the smallest class?

Bar chart of pupils: Bestari 32, Cerdas 28, Dinamik 36, Elit 24 — Diagram 2

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The biggest class is Dinamik (36) and the smallest is Elit (24). 36 − 24 = 12.

For the teacher: Applying, low difficulty, standard 8.1.2

Textbook p. 238

Look at Diagram 2 again. What is the percentage of pupils who are in class Elit?

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Total = 32 + 28 + 36 + 24 = 120. Elit: 24 ÷ 120 × 100% = 20%.

For the teacher: Applying, medium difficulty, standard 8.2.1

Textbook p. 240

Diagram 3 shows the lemonade sold by three children. Which statement is true?

Pictograph of lemonade: Ali 3 symbols, Bala 5, Chong 4; each symbol is 6 cups — Diagram 3

Ali sold 3 cups.
Bala sold twice as many cups as Ali.
Chong sold 24 cups.
The total number of cups sold is 60.

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Chong has 4 symbols, 4 × 6 = 24 cups. Ali sold 3 × 6 = 18, not 3. Bala sold 30 and Ali 18, which is not double. The total is 12 × 6 = 72, not 60.

For the teacher: Analysing, medium difficulty, standard 8.1.2

Textbook p. 236

In Diagram 2, 6 pupils move from class Dinamik to class Elit. Which statement is correct after the move?

Dinamik and Elit have the same number of pupils.
Dinamik is still the biggest class.
Elit has 24 pupils.
Bestari is the biggest class.

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Dinamik becomes 36 − 6 = 30 and Elit becomes 24 + 6 = 30, so they are equal. Bestari (32) is then the biggest.

For the teacher: Evaluating, high difficulty, standard 8.2.1

Textbook p. 242

Section B: structured questions

32 marks

Answer all questions. Show your working.

Four children own toy cars. Aiman has 15, Bee has 20, Cathy has 10 and Dev has 25. Wenn draws a pictograph. One symbol represents 5 toy cars.

[2 marks] (a)How many symbols are drawn for Aiman and for Dev?

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Aiman: 15 ÷ 5 = 3 symbols [1]1
Dev: 25 ÷ 5 = 5 symbols [1]1

Tick each point you got.

[1 mark] (b)Eli has 30 toy cars. How many symbols are drawn for Eli?

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30 ÷ 5 = 6 symbols [1]1

Tick each point you got.

[1 mark] (c)Wenn changes the key to 1 symbol represents 10 toy cars. How should Dev's 25 toy cars be shown?

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2 symbols and 1 half symbol [1] (25 ÷ 10 = 2½)1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 8.1.1

Textbook p. 233

Diagram 4 shows Meng's pocket money for five days.

Horizontal bar chart of pocket money: Monday RM3, Tuesday RM5, Wednesday RM2, Thursday RM4, Friday RM6 — Diagram 4

[1 mark] (a)On which day did Meng get the most pocket money?

MondayWednesdayFriday

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Friday

The Friday bar is the longest, RM6.

[1 mark] (b)How much pocket money did Meng get in the five days?

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3 + 5 + 2 + 4 + 6 = RM20 [1]1

Tick each point you got.

[1 mark] (c)Find the difference between the pocket money on Tuesday and on Wednesday.

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RM5 − RM2 = RM3 [1]1

Tick each point you got.

[1 mark] (d)On which two days is the total pocket money RM10?

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Thursday and Friday (4 + 6 = 10) [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 8.1.2

Textbook p. 237

Diagram 5 is an incomplete pictograph of the trees in an orchard. There are 100 trees in all.

Incomplete pictograph: Block A 4 symbols, Block B 3, Block C empty, Block D 6; each symbol is 5 trees — Diagram 5

[2 marks] (a)How many symbols must be drawn for Block C?

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100 ÷ 5 = 20 symbols in all [1]1
20 − (4 + 3 + 6) = 7 symbols [1]1

Tick each point you got.

[1 mark] (b)How many trees are in Block B?

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3 × 5 = 15 trees [1]1

Tick each point you got.

[1 mark] (c)What is the percentage of trees in Block D?

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6 × 5 = 30 trees; 30 ÷ 100 × 100% = 30% [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 8.2.1

Textbook p. 239

Diagram 6 shows the favourite drinks of the pupils in a group.

Bar chart of favourite drinks: Milo 18, Orange 12, Soya 8, Water 12 — Diagram 6

[1 mark] (a)How many pupils are in the group?

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18 + 12 + 8 + 12 = 50 [1]1

Tick each point you got.

[2 marks] (b)What is the percentage of pupils who like Milo?

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18 ÷ 50 × 100% [1]1
36% [1]1

Tick each point you got.

[1 mark] (c)How many more pupils like Milo than soya?

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18 − 8 = 10 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, standard 8.2.1

Textbook p. 240

Diagram 7 shows Siti's marks in four science tests, each out of 10. The bar for the fifth test, Earth, is not drawn yet. To get a badge, Siti must score more than 38 marks in total for the five tests.

Incomplete bar chart of Siti's marks: Plants 9, Animals 7, Matter 8, Energy 6, Earth not yet drawn — Diagram 7

[1 mark] (a)What is her total mark for the four tests?

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9 + 7 + 8 + 6 = 30 [1]1

Tick each point you got.

[2 marks] (b)She scores 8 marks in the Earth test. Does she get the badge? Explain.

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30 + 8 = 38 [1]1
No, because 38 is not more than 38 [1]1

Tick each point you got.

[1 mark] (c)What is the lowest mark she needed in the Earth test to get the badge?

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39 − 30 = 9 marks [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 8.2.1

Textbook p. 241

There are 60 members in four school clubs. Drama has 15 members and Music has 9 members. Chess has 6 more members than Art.

[1 mark] (a)How many members are in Art and Chess together?

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60 − 15 − 9 = 36 [1]1

Tick each point you got.

[2 marks] (b)How many members are in Art? How many are in Chess?

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36 − 6 = 30, 30 ÷ 2 = 15 in Art [1]1
15 + 6 = 21 in Chess [1]1

Tick each point you got.

[1 mark] (c)A bar chart is drawn for the four clubs. Which scale is the most suitable for the vertical axis?

Count in 1sCount in 5sCount in 100s

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Count in 5s

The biggest number is 21, so counting in 5s up to 25 fits and is easy to read.

For the teacher: Applying, high difficulty, standard 8.1.1

Textbook p. 237

Look at Diagram 1 again (cakes sold at the canteen; each symbol represents 5 cakes). Hana says the total number of cakes sold is 100. Ravi says the cakes sold on Thursday are twice the cakes sold on Monday.

[1 mark] (a)Is Hana correct?

YesNo

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The total is 21 symbols × 5 = 105, not 100.

[2 marks] (b)Show how you know.

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4 + 6 + 3 + 8 = 21 symbols [1]1
21 × 5 = 105, which is not 100 [1]1

Tick each point you got.

[1 mark] (c)Is Ravi correct? Explain.

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Yes: Thursday 40 cakes, Monday 20 cakes, and 2 × 20 = 40 [1]1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 8.2.1

Textbook p. 242

A teacher asks 51 pupils for their favourite sport: football 12, badminton 18, swimming 6 and hockey 15. You will draw a pictograph for this data.

[1 mark] (a)Write a suitable key: 1 symbol represents ______ pupils.

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3 pupils [1] (a number that divides 12, 18, 6 and 15 and keeps the number of symbols small)1

Tick each point you got.

[2 marks] (b)Using your key, how many symbols are drawn for each sport?

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Football 4, badminton 6 [1]1
Swimming 2, hockey 5 [1]1

Tick each point you got.

[1 mark] (c)Write one sentence about the favourite sport using your pictograph.

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A true statement, e.g. Badminton is the most popular sport with 18 pupils. [1]1

Tick each point you got.

For the teacher: Creating, medium difficulty, standard 8.1.1

Textbook p. 235

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