Primary 5 Mathematics Data Analysis Quiz

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Primary 5 Mathematics Quiz - Data Analysis

Name: ___________________________
Class: Primary 5 _______
Date: _______________
Score: ______ / 50

Duration: 45 minutes
Total Marks: 50

Instructions:

1. Answer all questions.
2. Show your working clearly in the spaces provided.
3. For Section A, choose the correct answer and write its number (1, 2, 3, or 4) in the brackets provided.
4. For Section B and C, write your answers in the spaces provided. Include units where necessary.
5. The number of marks is given in brackets [ ] at the end of each question or part question.

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Section A: Multiple Choice Questions (10 marks)

Questions 1 to 5 carry 2 marks each. Choose the correct answer and write its number in the brackets provided.

1. The bar graph below shows the number of books read by five students in a month.

<image_placeholder> id: Q1-fig1 type: bar_graph linked_question: Q1 description: Vertical bar graph showing books read by 5 students labels:

• x-axis: Students (Ali, Ben, Cindy, Devi, Eli)
• y-axis: Number of Books (scale 0 to 20, intervals of 2)
• bars: Ali=14, Ben=8, Cindy=18, Devi=12, Eli=6 values: Ali=14, Ben=8, Cindy=18, Devi=12, Eli=6 must_show: All 5 bars with correct heights, labelled axes, title "Number of Books Read in a Month" </image_placeholder>

How many more books did Cindy read than Ben?

(1) 6
(2) 8
(3) 10
(4) 12

Answer: (_____) [2]

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2. The table below shows the number of stamps collected by four children.

Child	Number of Stamps
Farah	45
Gary	30
Hani	55
Ivan	20

What is the average number of stamps collected by the four children?

(1) 35
(2) 37.5
(3) 40
(4) 42.5

Answer: (_____) [2]

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3. The line graph below shows the temperature of a cup of hot tea cooling over time.

<image_placeholder> id: Q3-fig1 type: line_graph linked_question: Q3 description: Line graph showing temperature of cooling tea over 10 minutes labels:

• x-axis: Time (minutes) from 0 to 10
• y-axis: Temperature (°C) from 40 to 90
• points: (0, 85), (2, 75), (4, 68), (6, 62), (8, 58), (10, 55) values: Time: 0, 2, 4, 6, 8, 10 min; Temp: 85, 75, 68, 62, 58, 55 °C must_show: Axes labelled with units, points plotted and connected with straight line segments, title "Temperature of Cooling Tea" </image_placeholder>

What was the temperature of the tea at the 4th minute?

(1) 62°C
(2) 68°C
(3) 75°C
(4) 85°C

Answer: (_____) [2]

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4. The pie chart below shows the favourite fruits of a class of 40 pupils.

<image_placeholder> id: Q4-fig1 type: pie_chart linked_question: Q4 description: Pie chart showing favourite fruits of 40 pupils labels:

• Apple: 90°
• Banana: 72°
• Orange: 108°
• Mango: 90° values: Apple=90°, Banana=72°, Orange=108°, Mango=90° must_show: Pie chart divided into 4 sectors with correct angles, labelled with fruit names and angles, title "Favourite Fruits of 40 Pupils" </image_placeholder>

How many pupils chose Orange as their favourite fruit?

(1) 8
(2) 10
(3) 12
(4) 14

Answer: (_____) [2]

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5. The table below shows the number of goals scored by a football team in 10 matches.

Number of Goals	Frequency
0	2
1	3
2	4
3	1

What is the mode of the number of goals scored?

(1) 0
(2) 1
(4) 2
(4) 3

Answer: (_____) [2]

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Section B: Short Answer Questions (20 marks)

Questions 6 to 15 carry 2 marks each. Show your working clearly and write your answers in the spaces provided.

6. The bar graph below shows the number of cars sold by a dealer from January to May.

<image_placeholder> id: Q6-fig1 type: bar_graph linked_question: Q6 description: Vertical bar graph showing cars sold per month labels:

• x-axis: Months (Jan, Feb, Mar, Apr, May)
• y-axis: Number of Cars (scale 0 to 50, intervals of 5)
• bars: Jan=25, Feb=30, Mar=35, Apr=20, May=40 values: Jan=25, Feb=30, Mar=35, Apr=20, May=40 must_show: All 5 bars with correct heights, labelled axes, title "Cars Sold from January to May" </image_placeholder>

What is the total number of cars sold from January to May?

Answer: _______________ [2]

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7. The table below shows the heights of five girls.

Girl	Height (cm)
Jane	142
Kate	138
Lisa	145
Mary	140
Nina	135

Find the average height of the five girls.

Answer: _______________ cm [2]

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8. The line graph below shows the distance travelled by a cyclist over 6 hours.

<image_placeholder> id: Q8-fig1 type: line_graph linked_question: Q8 description: Line graph showing distance travelled by cyclist over 6 hours labels:

• x-axis: Time (hours) from 0 to 6
• y-axis: Distance (km) from 0 to 60
• points: (0, 0), (1, 12), (2, 24), (3, 36), (4, 44), (5, 50), (6, 54) values: Time: 0, 1, 2, 3, 4, 5, 6 h; Distance: 0, 12, 24, 36, 44, 50, 54 km must_show: Axes labelled with units, points plotted and connected with straight line segments, title "Distance Travelled by Cyclist" </image_placeholder>

What was the average speed of the cyclist in the first 3 hours?

Answer: _______________ km/h [2]

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9. The pie chart below shows how John spent his pocket money of $80 in a week.

<image_placeholder> id: Q9-fig1 type: pie_chart linked_question: Q9 description: Pie chart showing John's pocket money spending labels:

• Food: 120°
• Transport: 60°
• Savings: 90°
• Others: 90° values: Food=120°, Transport=60°, Savings=90°, Others=90° must_show: Pie chart divided into 4 sectors with correct angles, labelled with categories and angles, title "John's Pocket Money Spending ($80)" </image_placeholder>

How much did John spend on Food?

Answer: $_______________ [2]

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10. The table below shows the number of storybooks read by pupils in a class.

Number of Storybooks	Number of Pupils
0	3
1	5
2	8
3	4
4	2

Find the total number of storybooks read by the class.

Answer: _______________ [2]

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11. The bar graph below shows the mass of 5 boxes.

<image_placeholder> id: Q11-fig1 type: bar_graph linked_question: Q11 description: Vertical bar graph showing mass of 5 boxes labels:

• x-axis: Boxes (A, B, C, D, E)
• y-axis: Mass (kg) (scale 0 to 25, intervals of 5)
• bars: A=12, B=18, C=8, D=22, E=15 values: A=12, B=18, C=8, D=22, E=15 must_show: All 5 bars with correct heights, labelled axes, title "Mass of 5 Boxes" </image_placeholder>

What is the difference in mass between the heaviest and lightest box?

Answer: _______________ kg [2]

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12. The line graph below shows the amount of water in a tank over 5 hours.

<image_placeholder> id: Q12-fig1 type: line_graph linked_question: Q12 description: Line graph showing water in tank over 5 hours labels:

• x-axis: Time (hours) from 0 to 5
• y-axis: Volume of Water (litres) from 0 to 100
• points: (0, 80), (1, 65), (2, 50), (3, 35), (4, 20), (5, 5) values: Time: 0, 1, 2, 3, 4, 5 h; Volume: 80, 65, 50, 35, 20, 5 L must_show: Axes labelled with units, points plotted and connected with straight line segments, title "Volume of Water in Tank" </image_placeholder>

At what rate (in litres per hour) was the water decreasing?

Answer: _______________ litres/hour [2]

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13. The pie chart below shows the types of pets owned by 60 families.

<image_placeholder> id: Q13-fig1 type: pie_chart linked_question: Q13 description: Pie chart showing types of pets owned by 60 families labels:

• Dog: 150°
• Cat: 90°
• Bird: 60°
• Fish: 60° values: Dog=150°, Cat=90°, Bird=60°, Fish=60° must_show: Pie chart divided into 4 sectors with correct angles, labelled with pet types and angles, title "Types of Pets Owned by 60 Families" </image_placeholder>

How many more families own a Dog than a Cat?

Answer: _______________ [2]

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14. The table below shows the marks obtained by 6 students in a test.

Student	Marks
A	72
B	85
C	68
D	90
E	75
F	80

Find the median mark.

Answer: _______________ [2]

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15. The bar graph below shows the number of visitors to a library over 4 days.

<image_placeholder> id: Q15-fig1 type: bar_graph linked_question: Q15 description: Vertical bar graph showing library visitors over 4 days labels:

• x-axis: Days (Mon, Tue, Wed, Thu)
• y-axis: Number of Visitors (scale 0 to 200, intervals of 20)
• bars: Mon=120, Tue=160, Wed=100, Thu=180 values: Mon=120, Tue=160, Wed=100, Thu=180 must_show: All 4 bars with correct heights, labelled axes, title "Library Visitors Over 4 Days" </image_placeholder>

What is the average number of visitors per day over the 4 days?

Answer: _______________ [2]

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Section C: Long Answer Questions (20 marks)

Questions 16 to 20 carry 4 marks each. Show your working clearly and write your answers in the spaces provided.

16. The table below shows the number of muffins sold by a bakery from Monday to Friday.

Day	Number of Muffins Sold
Monday	45
Tuesday	52
Wednesday	38
Thursday	60
Friday	55

(a) Find the total number of muffins sold from Monday to Friday.
(b) Find the average number of muffins sold per day.
(c) On which day was the number of muffins sold closest to the average?

Answer: (a) _______________ [1]
Answer: (b) _______________ [1]
Answer: (c) _______________ [2]

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17. The line graph below shows the height of a plant measured every week for 6 weeks.

<image_placeholder> id: Q17-fig1 type: line_graph linked_question: Q17 description: Line graph showing plant height over 6 weeks labels:

• x-axis: Week (1 to 6)
• y-axis: Height (cm) from 0 to 35
• points: (1, 5), (2, 9), (3, 14), (4, 20), (5, 27), (6, 35) values: Week: 1, 2, 3, 4, 5, 6; Height: 5, 9, 14, 20, 27, 35 cm must_show: Axes labelled with units, points plotted and connected with straight line segments, title "Height of Plant Over 6 Weeks" </image_placeholder>

(a) What was the height of the plant at Week 3?
(b) Between which two consecutive weeks did the plant grow the most?
(c) What was the increase in height from Week 2 to Week 5?
(d) If the plant continues to grow at the same rate as from Week 5 to Week 6, what would be its height at Week 7?

Answer: (a) _______________ cm [1]
Answer: (b) _______________ [1]
Answer: (c) _______________ cm [1]
Answer: (d) _______________ cm [1]

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18. The pie chart below shows the favourite colours of 80 pupils.

<image_placeholder> id: Q18-fig1 type: pie_chart linked_question: Q18 description: Pie chart showing favourite colours of 80 pupils labels:

• Red: 108°
• Blue: 90°
• Green: 72°
• Yellow: 90° values: Red=108°, Blue=90°, Green=72°, Yellow=90° must_show: Pie chart divided into 4 sectors with correct angles, labelled with colours and angles, title "Favourite Colours of 80 Pupils" </image_placeholder>

(a) How many pupils chose Red as their favourite colour?
(b) What fraction of the pupils chose Blue? Express your answer in the simplest form.
(c) How many more pupils chose Red than Green?
(d) If 10 pupils who chose Yellow changed their choice to Green, what would be the new angle for Green?

Answer: (a) _______________ [1]
Answer: (b) _______________ [1]
Answer: (c) _______________ [1]
Answer: (d) _______________° [1]

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19. The table below shows the number of goals scored by a hockey team in 15 matches.

Number of Goals	Frequency
0	2
1	4
2	5
3	3
4	1

(a) Find the total number of goals scored in the 15 matches.
(b) Find the mean number of goals scored per match.
(c) What is the mode?
(d) What is the median number of goals scored?

Answer: (a) _______________ [1]
Answer: (b) _______________ [1]
Answer: (c) _______________ [1]
Answer: (d) _______________ [1]

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20. The bar graph below shows the amount of rainfall (in mm) recorded in a town over 6 months.

<image_placeholder> id: Q20-fig1 type: bar_graph linked_question: Q20 description: Vertical bar graph showing monthly rainfall over 6 months labels:

• x-axis: Months (Jan, Feb, Mar, Apr, May, Jun)
• y-axis: Rainfall (mm) (scale 0 to 300, intervals of 50)
• bars: Jan=120, Feb=80, Mar=200, Apr=250, May=180, Jun=100 values: Jan=120, Feb=80, Mar=200, Apr=250, May=180, Jun=100 must_show: All 6 bars with correct heights, labelled axes, title "Monthly Rainfall (mm)" </image_placeholder>

(a) Which month had the highest rainfall?
(b) What is the difference between the highest and lowest rainfall?
(c) Find the average monthly rainfall for the 6 months.
(d) In how many months was the rainfall more than the average?

Answer: (a) _______________ [1]
Answer: (b) _______________ mm [1]
Answer: (c) _______________ mm [1]
Answer: (d) _______________ [1]

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End of Quiz

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Primary 5 Mathematics Quiz - Data Analysis (Answer Key)

Total Marks: 50

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Section A: Multiple Choice Questions (10 marks)

1. Answer: (3) 10 [2]

Working:

• Cindy read 18 books (from bar graph).
• Ben read 8 books (from bar graph).
• Difference = 18 − 8 = 10 books.

Key concept: Reading values from a bar graph and finding the difference.

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2. Answer: (2) 37.5 [2]

Working:

• Total stamps = 45 + 30 + 55 + 20 = 150
• Number of children = 4
• Average = Total ÷ Number = 150 ÷ 4 = 37.5

Key concept: Average = Sum of values ÷ Number of values.

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3. Answer: (2) 68°C [2]

Working:

• From the line graph, at 4 minutes, the point is (4, 68).
• Temperature = 68°C.

Key concept: Reading values from a line graph by locating the x-coordinate (time) and finding the corresponding y-coordinate (temperature).

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4. Answer: (3) 12 [2]

Working:

• Total pupils = 40
• Angle for Orange = 108°
• Total angle in a pie chart = 360°
• Number of pupils for Orange = (108° ÷ 360°) × 40 = 0.3 × 40 = 12

Key concept: In a pie chart, the angle of a sector represents the proportion of the total. Number = (Angle ÷ 360°) × Total.

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5. Answer: (3) 2 [2]

Working:

• Mode = value with the highest frequency.
• Frequencies: 0 goals → 2 matches, 1 goal → 3 matches, 2 goals → 4 matches, 3 goals → 1 match.
• Highest frequency is 4 (for 2 goals).
• Mode = 2.

Key concept: Mode is the value that appears most frequently.

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Section B: Short Answer Questions (20 marks)

6. Answer: 150 [2]

Working:

• Total cars = 25 + 30 + 35 + 20 + 40 = 150

Marking: 1 mark for correct addition, 1 mark for correct answer.

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7. Answer: 140 cm [2]

Working:

• Total height = 142 + 138 + 145 + 140 + 135 = 700 cm
• Number of girls = 5
• Average = 700 ÷ 5 = 140 cm

Marking: 1 mark for correct total, 1 mark for correct average with unit.

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8. Answer: 12 km/h [2]

Working:

• Distance at 0 h = 0 km, Distance at 3 h = 36 km
• Distance travelled in first 3 hours = 36 − 0 = 36 km
• Time = 3 hours
• Average speed = Distance ÷ Time = 36 ÷ 3 = 12 km/h

Key concept: Average speed = Total distance ÷ Total time.

Marking: 1 mark for correct distance (36 km), 1 mark for correct speed with unit.

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9. Answer: $26.67 (or$26 2/3) [2]

Working:

• Total pocket money = $80
• Angle for Food = 120°
• Amount spent on Food = (120° ÷ 360°) × $80 = (1/3) ×$80 = $26.67

Alternative: 1/3 of $80 =$26 2/3 or $26.67.

Marking: 1 mark for correct fraction (1/3), 1 mark for correct answer with $ sign.

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10. Answer: 44 [2]

Working:

• Total storybooks = (0 × 3) + (1 × 5) + (2 × 8) + (3 × 4) + (4 × 2)
• = 0 + 5 + 16 + 12 + 8 = 41

Wait, let me recalculate:

• 0 × 3 = 0
• 1 × 5 = 5
• 2 × 8 = 16
• 3 × 4 = 12
• 4 × 2 = 8
• Total = 0 + 5 + 16 + 12 + 8 = 41

Correction: Answer should be 41, not 44. Let me fix the question data or answer.

Actually, looking at the table again:

Number of Storybooks	Number of Pupils
0	3
1	5
2	8
3	4
4	2

Total = 0×3 + 1×5 + 2×8 + 3×4 + 4×2 = 0 + 5 + 16 + 12 + 8 = 41

Answer: 41 [2]

Marking: 1 mark for correct multiplication and addition, 1 mark for correct answer.

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11. Answer: 14 kg [2]

Working:

• Heaviest box: D = 22 kg
• Lightest box: C = 8 kg
• Difference = 22 − 8 = 14 kg

Marking: 1 mark for identifying heaviest and lightest, 1 mark for correct difference with unit.

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12. Answer: 15 litres/hour [2]

Working:

• Volume at 0 h = 80 L, Volume at 5 h = 5 L
• Total decrease = 80 − 5 = 75 L
• Time = 5 hours
• Rate of decrease = 75 ÷ 5 = 15 litres/hour

Alternative: The graph shows a constant rate (straight line). Decrease per hour = (80−65) = 15 L/h.

Marking: 1 mark for correct total decrease, 1 mark for correct rate with unit.

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13. Answer: 10 [2]

Working:

• Total families = 60
• Angle for Dog = 150°, Angle for Cat = 90°
• Families with Dog = (150° ÷ 360°) × 60 = (5/12) × 60 = 25
• Families with Cat = (90° ÷ 360°) × 60 = (1/4) × 60 = 15
• Difference = 25 − 15 = 10

Marking: 1 mark for correct number of dog/cat families, 1 mark for correct difference.

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14. Answer: 77.5 [2]

Working:

• Marks in ascending order: 68, 72, 75, 80, 85, 90
• Number of students = 6 (even)
• Median = average of 3rd and 4th values = (75 + 80) ÷ 2 = 155 ÷ 2 = 77.5

Key concept: For even number of data points, median = average of the two middle values.

Marking: 1 mark for correct ordering and identifying middle values, 1 mark for correct median.

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15. Answer: 140 [2]

Working:

• Total visitors = 120 + 160 + 100 + 180 = 560
• Number of days = 4
• Average = 560 ÷ 4 = 140

Marking: 1 mark for correct total, 1 mark for correct average.

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Section C: Long Answer Questions (20 marks)

16.

(a) Answer: 250 [1]

Working: 45 + 52 + 38 + 60 + 55 = 250

(b) Answer: 50 [1]

Working: Average = 250 ÷ 5 = 50

(c) Answer: Tuesday [2]

Working:

• Average = 50
• Differences from average:
  • Monday: |45 − 50| = 5
  • Tuesday: |52 − 50| = 2
  • Wednesday: |38 − 50| = 12
  • Thursday: |60 − 50| = 10
  • Friday: |55 − 50| = 5
• Smallest difference is 2 (Tuesday).

Marking: (a) 1 mark, (b) 1 mark, (c) 1 mark for correct differences, 1 mark for correct day.

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17.

(a) Answer: 14 cm [1]

Working: From graph, Week 3 height = 14 cm.

(b) Answer: Week 5 to Week 6 [1]

Working:

• Week 1 to 2: 9 − 5 = 4 cm
• Week 2 to 3: 14 − 9 = 5 cm
• Week 3 to 4: 20 − 14 = 6 cm
• Week 4 to 5: 27 − 20 = 7 cm
• Week 5 to 6: 35 − 27 = 8 cm
• Largest increase = 8 cm (Week 5 to 6).

(c) Answer: 18 cm [1]

Working: Height at Week 5 = 27 cm, Height at Week 2 = 9 cm. Increase = 27 − 9 = 18 cm.

(d) Answer: 43 cm [1]

Working:

• Rate from Week 5 to 6 = 35 − 27 = 8 cm/week
• Height at Week 7 = 35 + 8 = 43 cm

Marking: Each part 1 mark.

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18.

(a) Answer: 24 [1]

Working: (108° ÷ 360°) × 80 = (3/10) × 80 = 24

(b) Answer: 1/4 [1]

Working: Angle for Blue = 90°. Fraction = 90° ÷ 360° = 1/4.

(c) Answer: 8 [1]

Working:

• Red = 24 pupils (from part a)
• Green = (72° ÷ 360°) × 80 = (1/5) × 80 = 16 pupils
• Difference = 24 − 16 = 8

(d) Answer: 117° [1]

Working:

• Original Green pupils = 16
• New Green pupils = 16 + 10 = 26
• New angle = (26 ÷ 80) × 360° = 0.325 × 360° = 117°

Alternative: Each pupil = 360° ÷ 80 = 4.5°. 10 pupils = 45°. New angle = 72° + 45° = 117°.

Marking: Each part 1 mark.

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19.

(a) Answer: 31 [1]

Working:

• Total goals = (0×2) + (1×4) + (2×5) + (3×3) + (4×1)
• = 0 + 4 + 10 + 9 + 4 = 27

Wait, let me recalculate:

• 0 × 2 = 0
• 1 × 4 = 4
• 2 × 5 = 10
• 3 × 3 = 9
• 4 × 1 = 4
• Total = 0 + 4 + 10 + 9 + 4 = 27

Answer: 27 [1]

(b) Answer: 1.8 [1]

Working: Mean = Total goals ÷ Matches = 27 ÷ 15 = 1.8

(c) Answer: 2 [1]

Working: Highest frequency is 5 (for 2 goals). Mode = 2.

(d) Answer: 2 [1]

Working:

• Total matches = 15 (odd)
• Median position = (15 + 1) ÷ 2 = 8th value
• Cumulative frequencies:
  • 0 goals: 2 matches (positions 1-2)
  • 1 goal: 4 matches (positions 3-6)
  • 2 goals: 5 matches (positions 7-11)
• 8th value falls in "2 goals" category.
• Median = 2

Marking: Each part 1 mark.

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20.

(a) Answer: April [1]

Working: Highest bar is April at 250 mm.

(b) Answer: 170 mm [1]

Working: Highest = 250 mm (April), Lowest = 80 mm (February). Difference = 250 − 80 = 170 mm.

(c) Answer: 155 mm [1]

Working:

• Total rainfall = 120 + 80 + 200 + 250 + 180 + 100 = 930 mm
• Average = 930 ÷ 6 = 155 mm

(d) Answer: 3 [1]

Working: Average = 155 mm. Months above average: March (200), April (250), May (180) → 3 months.

Marking: Each part 1 mark.

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End of Answer Key