Primary 6 PSLE Mathematics Data Analysis Quiz

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Primary 6 PSLE Mathematics Quiz - Data Analysis

Name: _______________________________ Class: _______

Date: ___________________ Score: _______ / 40

Duration: 40 minutes

Total Marks: 40

Instructions:

• Answer all questions.
• Show your working clearly in the space provided.
• Marks are awarded for correct method even if the final answer is inaccurate.
• Use of calculators is not allowed.

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Section A: Simple Data Interpretation (Questions 1–8)

Each question carries 2 marks.

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1. The bar graph below shows the number of books borrowed from the school library from Monday to Friday.

Generated bar_graph for Q1.

(a) On which day were the most books borrowed?

_______________________________________________ [1]

(b) What is the total number of books borrowed from Monday to Friday?

_______________________________________________ [1]

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2. The pie chart below shows how 120 pupils in Primary 6 travel to school.

Generated pie_chart for Q2.

(a) What fraction of the pupils walk to school? Express your answer in the simplest form.

_______________________________________________ [1]

(b) How many more pupils travel by bus than by car?

_______________________________________________ [1]

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3. The line graph shows the temperature in Singapore over a 6-hour period.

Generated line_graph for Q3.

(a) What was the temperature at 2 p.m.?

_______________________________________________ [1]

(b) What was the greatest decrease in temperature between any two consecutive hours?

_______________________________________________ [1]

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4. The table shows the test scores of five pupils.

Pupil	Test Score
Alice	78
Ben	65
Clara	92
David	65
Evan	80

(a) What is the mode of the test scores?

_______________________________________________ [1]

(b) What is the mean test score?

_______________________________________________ [1]

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5. The pictograph shows the number of medals won by four countries in a sports competition.

Generated pictograph for Q5.

(a) How many medals did Thailand win?

_______________________________________________ [1]

(b) What is the total number of medals won by all four countries?

_______________________________________________ [1]

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6. The table shows the favourite fruits of a group of pupils.

Fruit	Number of Pupils
Apple	24
Orange	18
Mango	30
Grape	12
Pear	6

(a) What percentage of the pupils chose mango as their favourite fruit?

_______________________________________________ [1]

(b) The same information is to be shown in a pie chart. What is the angle of the sector representing apple?

_______________________________________________ [1]

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7. The graph shows the amount of water in a tank over time.

Generated line_graph for Q7.

(a) For how long was the volume of water in the tank constant at 50 litres?

_______________________________________________ [1]

(b) At which hour was water flowing out of the tank?

_______________________________________________ [1]

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8. The table shows the heights of six plants after 3 weeks of growth.

Plant	Height (cm)
A	8.5
B	12.3
C	9.0
D	15.6
E	10.2
F	11.5

(a) What is the range of the heights?

_______________________________________________ [1]

(b) Another plant G has a height of 14.0 cm. What is the median height of all seven plants?

_______________________________________________ [1]

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Section B: Data Analysis and Problem Solving (Questions 9–16)

Each question carries 3 marks.

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9. The bar graph shows the number of visitors to a museum over four months.

Generated bar_graph for Q9.

(a) Which month had 75% more visitors than June?

_______________________________________________ [2]

(b) The entrance fee is $8 per visitor. How much more money was collected in August than in September?

_______________________________________________ [1]

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10. The table shows the time taken by four runners in a 100 m race.

Runner	Time (seconds)
P	12.5
Q	11.8
R	13.2
S	12.0

(a) Who was the fastest runner?

_______________________________________________ [1]

(b) The average time of the four runners was 12.4 seconds. Another runner T joined the race. The average time of all five runners became 12.6 seconds. What was T's time?

_______________________________________________ [2]

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11. The pie chart shows how John spent his monthly allowance of $240.

Generated pie_chart for Q11.

(a) How much did John spend on food?

_______________________________________________ [2]

(b) What percentage of his allowance did John save? Give your answer correct to 1 decimal place.

_______________________________________________ [1]

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12. The line graph shows the sales of books at a shop from 2019 to 2023.

Generated line_graph for Q12.

(a) Calculate the percentage decrease in sales from 2019 to 2020.

_______________________________________________ [2]

(b) In which year did the sales increase by the greatest amount compared to the previous year?

_______________________________________________ [1]

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13. The table shows the marks scored by pupils in a Mathematics test.

Marks	Number of Pupils
40–49	3
50–59	5
60–69	8
70–79	10
80–89	6
90–99	2

(a) How many pupils scored 70 marks or more?

_______________________________________________ [1]

(b) What percentage of the pupils scored less than 60 marks?

_______________________________________________ [2]

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14. The pictograph shows the number of eggs sold by a farmer from Monday to Thursday.

Image pending generation: pictograph for Q14.

(a) How many eggs were sold on Monday?

_______________________________________________ [1]

(b) The farmer sold 25% more eggs on Friday than on Wednesday. How many eggs were sold on Friday?

_______________________________________________ [2]

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15. The graph shows the distance travelled by a cyclist over a 3-hour journey.

Generated line_graph for Q15.

(a) For how long did the cyclist rest altogether?

_______________________________________________ [1]

(b) What was the average speed of the cyclist for the whole journey? Give your answer in km/h.

_______________________________________________ [2]

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16. The table shows the results of a survey on the favourite sports of 72 pupils.

Sport	Number of Pupils	Angle in Pie Chart
Badminton	18	90°
Soccer	?	?
Swimming	12	60°
Basketball	24	?
Table Tennis	6	30°

(a) How many pupils chose soccer?

_______________________________________________ [1]

(b) Complete the two missing values in the table.

_______________________________________________ [2]

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Section C: Higher-Order Data Analysis (Questions 17–20)

Each question carries 4 marks.

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17. The composite bar graph shows the number of boys and girls in three classes.

Generated composite_bar_graph for Q17.

(a) What is the total number of pupils in the three classes?

_______________________________________________ [1]

(b) What percentage of all the pupils are boys?

_______________________________________________ [2]

(c) In class 6C, what fraction of the pupils are girls? Express your answer in the simplest form.

_______________________________________________ [1]

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18. The table shows the prices and quantities of items bought by Mrs Lee.

Item	Price per kg	Quantity bought
Rice	$3.50	4 kg
Sugar	$2.80	2 kg
Flour	$1.90	5 kg

(a) Calculate the total amount Mrs Lee spent.

_______________________________________________ [2]

(b) Mrs Lee paid with a $50 note. She decided to buy some apples at$2.50 per kg with the remaining money. What is the greatest mass of apples she can buy?

_______________________________________________ [2]

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19. The line graph shows the rainfall recorded at two stations, A and B, over six months.

Generated line_graph for Q19.

(a) In which month was the difference in rainfall between the two stations the greatest?

_______________________________________________ [1]

(b) What was the average monthly rainfall at Station B?

_______________________________________________ [2]

(c) Express the rainfall at Station A in March as a fraction of the total rainfall at Station A for the six months. Give your answer in the simplest form.

_______________________________________________ [1]

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20. The table shows the scores of pupils in a Mathematics competition. The score of one pupil is missing.

Pupil	A	B	C	D	E	F
Score	85	72	90	?	68	75

(a) The mean score of all six pupils is 78. What is D's score?

_______________________________________________ [2]

(b) Another pupil G with a score of 84 joins the group. What is the median score of all seven pupils?

_______________________________________________ [2]

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END OF QUIZ

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Primary 6 PSLE Mathematics Quiz - Data Analysis: ANSWER KEY

Total Marks: 40

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Section A: Simple Data Interpretation (Questions 1–8)

Each question carries 2 marks.

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1. (a) Friday [1]

Explanation: Reading the bar heights from the graph: Monday = 45, Tuesday = 60, Wednesday = 35, Thursday = 50, Friday = 70. The tallest bar represents Friday with 70 books.

(b) 260 books [1]

Working: Total = 45 + 60 + 35 + 50 + 70 = 260

Common mistake: Forgetting to include all five days or misreading one bar height.

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2. (a) $\frac{1}{3}$ [1]

Working:

• Angle for walking = 120°
• Fraction = $\frac{120°}{360°} = \frac{120}{360} = \frac{1}{3}$

Concept reminder: A full pie chart = 360°. To find a fraction, divide the sector angle by 360° and simplify.

(b) 10 more pupils [1]

Working:

• Bus: $\frac{60°}{360°} \times 120 = 20$ pupils
• Car: $\frac{45°}{360°} \times 120 = 15$ pupils
• Difference: 20 − 15 = 5 pupils

Wait—correction: Let me recheck: Bus angle is 60°, so $\frac{60}{360} \times 120 = 20$ pupils. Car angle is 45°, so $\frac{45}{360} \times 120 = 15$ pupils. Difference = 5 pupils.

Correct answer: 5 pupils

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3. (a) 35°C [1]

Read directly from graph: at 2 p.m. (14:00), the temperature was 35°C.

(b) 3°C [1]

Working:

• 2 p.m. to 3 p.m.: 35°C → 34°C (decrease of 1°C)
• 3 p.m. to 4 p.m.: 34°C → 31°C (decrease of 3°C) ← greatest decrease
• 4 p.m. to 5 p.m.: 31°C → 30°C (decrease of 1°C)
• 5 p.m. to 6 p.m.: 30°C → 29°C (decrease of 1°C)

Greatest decrease = 3°C

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4. (a) 65 [1]

Explanation: The mode is the value that appears most frequently. 65 appears twice (Ben and David); all other scores appear once.

(b) 76 [1]

Working: Mean = $\frac{78 + 65 + 92 + 65 + 80}{5} = \frac{380}{5} =$ 76

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5. (a) 40 medals [1]

Working: Thailand has 8 symbols × 5 medals = 40 medals

(b) 105 medals [1]

Working:

• Singapore: 6 × 5 = 30
• Malaysia: 4 × 5 = 20
• Thailand: 8 × 5 = 40
• Indonesia: 3 × 5 = 15
• Total: 30 + 20 + 40 + 15 = 105 medals

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6. (a) 25% [1]

Working:

• Total pupils = 24 + 18 + 30 + 12 + 6 = 90
• Percentage for mango = $\frac{30}{90} \times 100\% = \frac{100}{3}\% = 33.\overline{3}\%$

Correct answer: 33.3% or exactly 33⅓%

Rechecking: Let me recalculate: 30/90 = 1/3 = 0.333... = 33.3% (to 1 d.p.) or 33⅓%

(b) 96° [1]

Working:

• Apple pupils = 24
• Total pupils = 90
• Angle = $\frac{24}{90} \times 360° = \frac{24 \times 360}{90} = 24 \times 4 =$ 96°

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7. (a) 1 hour [1]

Explanation: The volume stays at 50 litres from hour 3 to hour 4. Duration = 4 − 3 = 1 hour.

(b) From hour 4 to hour 5 [1] (or 4th to 5th hour / hour 4 to hour 5)

Explanation: Water flows out when the volume decreases. From the graph: 4h = 50L, 5h = 30L, showing a decrease of 20 litres.

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8. (a) 7.1 cm [1]

Working: Range = Maximum − Minimum = 15.6 − 8.5 = 7.1 cm

(b) 11.5 cm [1]

Working:

• Original 6 heights in order: 8.5, 9.0, 10.2, 11.5, 12.3, 15.6
• With plant G (14.0): 8.5, 9.0, 10.2, 11.5, 12.3, 14.0, 15.6
• 7 values, so median is the 4th value = 11.5 cm

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Section B: Data Analysis and Problem Solving (Questions 9–16)

Each question carries 3 marks.

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9. (a) August [2]

Working:

• June visitors = 2400
• 75% more = $2400 \times 1.75 = 4200$ or $2400 + (2400 \times 0.75) = 2400 + 1800 = 4200$
• August has 4200 visitors ✓

Mark breakdown: [1] for correct calculation or identification method; [1] for correct month

(b) $9600 [1]

Working: (4200 - 3000) \times \8 = 1200 \times $8 = $**$9600**

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10. (a) Q [1]

Explanation: In a race, the fastest runner has the shortest time. Q's time of 11.8 seconds is the smallest.

(b) 13.4 seconds [2]

Working:

• Total time for 4 runners = $12.4 \times 4 = 49.6$ seconds
• Total time for 5 runners = $12.6 \times 5 = 63.0$ seconds
• T's time = $63.0 - 49.6 =$ 13.4 seconds

Mark breakdown: [1] for finding total times; [1] for correct subtraction and answer

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11. (a) $60 [2]

Working:

• Fraction for food = $\frac{90°}{360°} = \frac{1}{4}$
• Amount = \frac{1}{4} \times \240 = $**$60**

Mark breakdown: [1] for correct fraction/percentage; [1] for correct calculation

(b) 20.0% [1]

Working: $\frac{72°}{360°} \times 100\% = 20\%$

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12. (a) 20% [2]

Working:

• Decrease = $3500 - 2800 = 700$
• Percentage decrease = $\frac{700}{3500} \times 100\% = \frac{700}{35} =$ 20%

Mark breakdown: [1] for correct decrease amount; [1] for correct percentage formula and answer

(b) 2022 [1]

Working:

• 2020 to 2021: 3200 − 2800 = 400 increase
• 2021 to 2022: 4100 − 3200 = 900 increase ← greatest
• 2022 to 2023: 4500 − 4100 = 400 increase

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13. (a) 18 pupils [1]

Working: 70–79: 10 pupils + 80–89: 6 pupils + 90–99: 2 pupils = 18 pupils

(b) 11.1% [2]

Working:

• Total pupils = 3 + 5 + 8 + 10 + 6 + 2 = 34
• Pupils scoring less than 60 = 3 + 5 = 8
• Percentage = $\frac{8}{34} \times 100\% = \frac{800}{34}\% = 23.529...\%$

Correct answer: 23.5% (to 1 d.p.) or exactly $\frac{400}{17}\%$

Rechecking: 8/34 = 4/17 ≈ 0.2353 = 23.5%

Mark breakdown: [1] for correct total and count; [1] for correct percentage calculation

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14. (a) 140 eggs [1]

Working: $3.5 \times 40 = 3 \times 40 + 0.5 \times 40 = 120 + 20 =$ 140 eggs

(b) 250 eggs [2]

Working:

• Wednesday: $5 \times 40 = 200$ eggs
• Friday: $200 \times 1.25 = 250$ eggs (or $200 + \frac{1}{4} \times 200 = 200 + 50 = 250$)

Mark breakdown: [1] for Wednesday's amount; [1] for correct 25% increase calculation

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15. (a) 1 hour [1]

Working:

• Rest period 1: hour 0.5 to hour 1 → 0.5 hour (distance stays at 10 km)
• Rest period 2: hour 1.5 to hour 2 → 0.5 hour (distance stays at 25 km)
• Rest period 3: hour 2.5 to hour 3 → 0.5 hour (distance stays at 35 km)

Wait—let me recheck: 2.5h to 3h: 35 to 35? Looking at values: 2.5h=35km, 3h=35km. So that's another rest.

Total rest = 0.5 + 0.5 + 0.5? No wait, let me re-read: 0h=0, 0.5h=10, 1h=10, 1.5h=25, 2h=25, 2.5h=35, 3h=35.

Rest periods: 0.5h to 1h = 0.5h; 1.5h to 2h = 0.5h; 2.5h to 3h = 0.5h. Total = 1.5 hours or 1½ hours

Correction: 1.5 hours or $\frac{3}{2}$ hours or 1 hour 30 minutes

(b) $11\frac{2}{3}$ km/h or $\frac{35}{3}$ km/h ≈ 11.67 km/h [2]

Working:

• Total distance = 35 km
• Total time = 3 hours
• Average speed = $\frac{35}{3} = 11\frac{2}{3}$ km/h ≈ 11.7 km/h (to 1 d.p.)

Mark breakdown: [1] for correct formula and substitution; [1] for correct answer

Note: Average speed uses total distance ÷ total time, not the average of speeds.

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16. (a) 12 pupils [1]

Working:

• Total pupils = 18 + 12 + 24 + 6 + soccer = 72
• 60 + soccer = 72
• Soccer = 12 pupils

(b) Soccer: 60°, Basketball: 120° [2]

Working:

• Soccer angle: $\frac{12}{72} \times 360° = 60°$
• Basketball angle: $\frac{24}{72} \times 360° = 120°$

Mark breakdown: [1] for each correct angle

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Section C: Higher-Order Data Analysis (Questions 17–20)

Each question carries 4 marks.

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17. (a) 96 pupils [1]

Working: 6A: 28, 6B: 30, 6C: 28; Total = 28 + 30 + 28 = 86

Rechecking: 6A: 12+16=28, 6B: 15+15=30, 6C: 18+10=28. Total = 28 + 30 + 28 = 86 pupils

Correct answer: 86 pupils

(b) $\frac{45}{86}$ or ≈ 52.3% [2]

Working:

• Total boys = 12 + 15 + 18 = 45
• Percentage = $\frac{45}{86} \times 100\% = \frac{4500}{86}\% \approx 52.325...\% \approx$ 52.3% (to 1 d.p.)

Mark breakdown: [1] for total boys; [1] for correct percentage calculation

(c) $\frac{5}{14}$ [1]

Working:

• 6C total = 18 + 10 = 28
• Fraction of girls = $\frac{10}{28} = \frac{5}{14}$

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18. (a) $33.50 [2]

Working:

• Rice: $3.50 × 4 =$14.00
• Sugar: $2.80 × 2 =$5.60
• Flour: $1.90 × 5 =$9.50
• Total = $14.00 +$5.60 + $9.50 = **$29.10**

Rechecking my calculation:

Wait: 14.00 + 5.60 = 19.60; 19.60 + 9.50 = $29.10

Correct answer: $29.10

Mark breakdown: [1] for correct individual calculations; [1] for correct total

(b) 8 kg [2]

Working:

• Change from $50 =$50 − $29.10 =$20.90
• Number of kg = $\frac{20.90}{2.50} = 8.36$ kg

Since she wants the greatest whole number of kg with remaining money: 8 kg (costing $20, with$0.90 left)

Alternative interpretation: If partial kg allowed, answer is 8.36 kg

For P6 level with "greatest mass she can buy," typically expect: 8 kg (whole kg) or expressing as 8.36 kg if decimals acceptable.

Mark breakdown: [1] for remaining money; [1] for correct division and practical answer

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19. (a) April [1]

Working:

• Jan: |120 − 100| = 20 mm
• Feb: |80 − 120| = 40 mm ← greatest
• Mar: |150 − 100| = 50 mm ← greatest

Wait let me recalculate:

• Jan: 120 - 100 = 20
• Feb: 120 - 80 = 40... Station A = 80, Station B = 120, so difference = 40
• Mar: 150 - 100 = 50 ← greatest
• Apr: 200 - 160 = 40
• May: 180 - 140 = 40
• Jun: 100 - 80 = 20

Correct answer: March (difference of 50 mm)

(b) 100 mm [2]

Working:

• Total at Station B = 100 + 120 + 100 + 160 + 140 + 80 = 700 mm
• Average = $\frac{700}{6} = \frac{350}{3} = 116.\overline{6} \approx$ 116.7 mm (to 1 d.p.)

Rechecking: 100+120+100+160+140+80 = 700. 700/6 = 116.666... ≈ 116.7 mm

Correct answer: 116.7 mm or $116\frac{2}{3}$ mm

Mark breakdown: [1] for correct total; [1] for correct division

(c) $\frac{5}{29}$ [1]

Working:

• Total at Station A = 120 + 80 + 150 + 200 + 180 + 100 = 830 mm
• March at Station A = 150 mm
• Fraction = $\frac{150}{830} = \frac{15}{83}$

Rechecking: 120+80=200, +150=350, +200=550, +180=730, +100=830.

$\frac{150}{830} = \frac{15}{83}$... can this simplify? 15 = 3×5, 83 is prime. So $\frac{15}{83}$

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20. (a) 88 [2]

Working:

• Total score for 6 pupils = $78 \times 6 = 468$
• Sum of known scores = $85 + 72 + 90 + 68 + 75 = 390$
• D's score = $468 - 390 =$ 78

Rechecking: 85+72=157, +90=247, +68=315, +75=390. 468-390=78

Correct answer: 78

Mark breakdown: [1] for total of all six; [1] for subtraction and answer

(b) 78 [2]

Working:

• All seven scores: 68, 72, 75, 78, 84, 85, 90 (including G=84, and D=78 from part a)
• Ordered: 68, 72, 75, 78, 84, 85, 90
• Median (4th of 7) = 78

Mark breakdown: [1] for correct ordering; [1] for identifying middle value

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END OF ANSWER KEY