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Mathematics questions, unit 9

Data

30 marks. Use Practice to check each answer as you go, or Exam to answer everything first. Before you answer, read the title and the key of every chart.

Section A: objective questions

8 marks
Choose the best answer for each question.
1

Question 1

Which chart shows data as parts of a circle?
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C
A pie chart is a circle cut into parts. A bigger part means a bigger number.
For the teacher: Remembering, low difficulty, standard 9.2.1
Textbook p. 109
2

Question 2

Diagram 1 shows some tally marks. What number do they show?
Tally marks: one group of five (four sticks with a line across) and three more sticks
Diagram 1
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D
The gate is a group of 5. Then there are 3 more sticks. 5 + 3 = 8. Counting the gate as 4 gives 7; counting it as 6 gives 9.
For the teacher: Understanding, low difficulty, standard 9.1.1
Textbook p. 108
3

Question 3

Diagram 2 shows the drinks sold at a pasar malam stall. Which drink was sold the most?
Pie chart titled Drinks Sold at a Stall. Teh tarik 12, sirap bandung 9, air kelapa 6, air limau 3.
Diagram 2
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A
The largest part is 12. The key shows it is teh tarik. Air limau (3) is the smallest part, so it was sold the least.
For the teacher: Understanding, low difficulty, standard 9.2.1
Textbook p. 109
4

Question 4

Look at Diagram 2. How many cups of air kelapa were sold?
Pie chart titled Drinks Sold at a Stall. Teh tarik 12, sirap bandung 9, air kelapa 6, air limau 3.
Diagram 2
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B
The key shows air kelapa is green. The green part says 6.
For the teacher: Understanding, low difficulty, standard 9.2.1
Textbook p. 109
5

Question 5

Diagram 3 shows the roti sold at a stall in one day. How many pieces of roti canai were sold?
Pictograph titled Roti Sold in a Day. One picture represents 2 pieces of roti. Roti canai 6 pictures, roti jala 3 pictures, roti bakar 5 pictures, roti kukus 2 pictures.
Diagram 3
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B
One picture = 2 pieces. Roti canai has 6 pictures. 6 × 2 = 12. The answer 6 counts the pictures only.
For the teacher: Applying, medium difficulty, standard 9.4.1
Textbook p. 114
6

Question 6

Diagram 4 shows the rubbish collected on gotong-royong day. Which two types of rubbish have the same number?
Bar chart titled Rubbish Collected on Gotong-royong Day. Bottles 9, tins 6, paper 9, glass 3.
Diagram 4
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A
The bars for bottles and paper are the same height. Both reach 9.
For the teacher: Understanding, medium difficulty, standard 9.3.1
Textbook p. 111
7

Question 7

Look at Diagram 3 again. How many more pieces of roti canai than roti kukus were sold?
Pictograph titled Roti Sold in a Day. One picture represents 2 pieces of roti. Roti canai 6 pictures, roti jala 3 pictures, roti bakar 5 pictures, roti kukus 2 pictures.
Diagram 3
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D
Roti canai: 6 × 2 = 12. Roti kukus: 2 × 2 = 4. 12 − 4 = 8. The answer 4 is the difference in pictures, and 16 is the sum.
For the teacher: Applying, medium difficulty, standard 9.4.1
Textbook p. 114
8

Question 8

Look at Diagram 2 again. Which sentence is true?
Pie chart titled Drinks Sold at a Stall. Teh tarik 12, sirap bandung 9, air kelapa 6, air limau 3.
Diagram 2
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C
Teh tarik 12 + air kelapa 6 = 18 cups, so C is true. Air limau is the smallest part, so it was sold the least, not the most. Sirap bandung (9) is not the least. The total is 12 + 9 + 6 + 3 = 30 cups, not 25.
For the teacher: Analysing, high difficulty, standard 9.2.1
Textbook p. 109

Section B: structured questions

22 marks
Answer all questions. Show how you find each answer.
9

Question 9

Choose the correct answer.
[1 mark] (a)In a bar chart, the item with the most is shown by the ______ bar.
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highest
The highest (or longest) bar shows the biggest number.
[1 mark] (b)In a pie chart, the item with the least is shown by the ______ part.
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smallest
The smallest part shows the smallest number.
For the teacher: Remembering, low difficulty, standard 9.3.1
Textbook p. 111
10

Question 10

Mira asked her friends about their favourite fruit. This is her data:
durian, banana, apple, durian, rambutan, banana, durian, apple, durian, rambutan, durian, banana, apple, durian, rambutan, banana
Classify and sort the data in a tally table like this:
FruitTallyNumber
Durian
Banana
Apple
Rambutan
[1 mark] (a)How many friends chose durian? Draw its tally.
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Tick each point you got.
[1 mark] (b)How many friends chose banana?
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Tick each point you got.
[1 mark] (c)Which fruit is the most favoured?
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Tick each point you got.
[1 mark] (d)How many friends did Mira ask altogether? Show your working.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 9.1.1
Textbook p. 108
11

Question 11

Diagram 5 shows how the Year 3 pupils of SK Taman Melati go to school.
Pie chart titled How Year 3 Pupils Go to School. Bus 14, car 10, motorcycle 6, walking 5.
Diagram 5
[1 mark] (a)How many pupils walk to school?
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Tick each point you got.
[1 mark] (b)How do most pupils go to school?
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Tick each point you got.
[1 mark] (c)How many more pupils go by bus than by car?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 9.2.1
Textbook p. 109
12

Question 12

Diagram 6 shows a pictograph and a pie chart of the same data. Mak made kuih raya for Hari Raya.
Pictograph and pie chart titled Kuih Raya Made by Mak. One jar picture represents 1 jar. Kuih bangkit 6 jars, tart nenas 8 jars, biskut dahlia 3 jars, kuih makmur 5 jars. In the pie chart the parts are 6, 8, 5 and a question mark for biskut dahlia.
Diagram 6
[1 mark] (a)What is the number in the part marked ? in the pie chart?
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Tick each point you got.
[1 mark] (b)Which kuih did Mak make the most? Give a reason from the pie chart.
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Tick each point you got.
[1 mark] (c)How many jars of kuih raya did Mak make altogether?
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Tick each point you got.
For the teacher: Understanding, medium difficulty, standard 9.3.1
Textbook p. 112
13

Question 13

Diagram 7 shows the number of books read by four Year 3 classes in Reading Month.
Pictograph titled Books Read in Reading Month. One book picture represents 10 books. 3 Bestari 6 pictures, 3 Cerdik 4 pictures, 3 Dinamik 7 pictures, 3 Gemilang 5 pictures.
Diagram 7
[1 mark] (a)How many books did 3 Dinamik read?
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Tick each point you got.
[2 marks] (b)How many books did the four classes read altogether? Show your working.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 9.4.1
Textbook p. 114
14

Question 14

Diagram 8 shows the favourite sports of 100 pupils. The number of pupils who like swimming is hidden.
Pie chart titled Favourite Sports of 100 Pupils. Football 40, badminton 30, swimming question mark, sepak takraw 10.
Diagram 8
[2 marks] (a)How many pupils like swimming? Show your working.
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Tick each point you got.
[1 mark] (b)Arrange the sports from the most favoured to the least favoured.
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Tick each point you got.
For the teacher: Analysing, high difficulty, standard 9.4.1
Textbook p. 113
15

Question 15

Nadia made a tally table of her classmates' pets (Diagram 9). Then she drew a bar chart from it (Diagram 10). She made one mistake in the bar chart.
Tally table titled Pets of Nadia's classmates. Cat 7, fish 4, rabbit 6, bird 2.
Diagram 9
Bar chart titled Pets of Nadia's Classmates. Cat 7, fish 4, rabbit 5, bird 2.
Diagram 10
[1 mark] (a)Which bar is wrong?
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Rabbit
The tally shows 6 rabbits, but the bar only reaches 5.
[1 mark] (b)Explain how Nadia should correct her mistake.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 9.3.1
Textbook p. 112
16

Question 16

Diagram 11 shows the favourite canteen food of some Year 3 pupils.
Bar chart titled Favourite Canteen Food. Nasi lemak 9, mee goreng 6, roti canai 4, bihun sup 3.
Diagram 11
[2 marks] (a)Write one question that your friend can answer using the bar chart. Then write its answer.
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Tick each point you got.
For the teacher: Creating, high difficulty, standard 9.4.1
Textbook p. 116