Primary 5 Mathematics Data Analysis Quiz

Primary 5 Mathematics Quiz - Data Analysis

Answer Key

Section A: Reading and Interpreting Tables and Bar Graphs

Question 1 (2 marks)

• Answer: Carol read the most books. She read 15 books.
• Working: Compare all values in the table: 12, 8, 15, 10, 5. The greatest is 15 (Carol).
• Marking: 1 mark for identifying Carol. 1 mark for stating 15 books.

Question 2 (2 marks)

• Answer: Ethan read the fewest books. He read 10 fewer books than Carol.
• Working: Fewest = 5 (Ethan). Difference: 15 − 5 = 10.
• Marking: 1 mark for identifying Ethan. 1 mark for the correct difference of 10.

Question 3 (2 marks)

• Answer: 50 books
• Working: 12 + 8 + 15 + 10 + 5 = 50
• Marking: 2 marks for correct answer. 1 mark for correct method with arithmetic error.

Question 4 (2 marks)

• Answer: 10 books
• Working: Total = 50. Average = 50 ÷ 5 = 10.
• Marking: 2 marks for correct answer. 1 mark for showing division by 5.

Question 5 (2 marks)

• Answer: 18 books
• Working: 15 + 3 = 18
• Marking: 2 marks for correct answer.

Section B: Reading and Interpreting Line Graphs

Question 6 (2 marks)

• Answer: 32°C
• Working: Read directly from the graph at 12 p.m.
• Marking: 2 marks for correct answer with unit.

Question 7 (2 marks)

• Answer: 10°C
• Working: Temperature at 2 p.m. = 34°C. Temperature at 8 a.m. = 24°C. Increase = 34 − 24 = 10°C.
• Marking: 2 marks for correct answer. 1 mark for correct subtraction.

Question 8 (2 marks)

• Answer: Between 10 a.m. and 12 p.m.
• Working: Calculate each increase:
  • 8 a.m. to 10 a.m.: 28 − 24 = 4°C
  • 10 a.m. to 12 p.m.: 32 − 28 = 4°C
  • 12 p.m. to 2 p.m.: 34 − 32 = 2°C
  • 2 p.m. to 4 p.m.: 30 − 34 = −4°C (decrease)
  • The greatest increase is 4°C, which occurs in two intervals. Accept 8 a.m. to 10 a.m. or 10 a.m. to 12 p.m. (both correct).
• Marking: 2 marks for identifying either correct interval. 1 mark for showing working.

Question 9 (2 marks)

• Answer: 4°C
• Working: 34 − 30 = 4°C
• Marking: 2 marks for correct answer.

Question 10 (2 marks)

• Answer: 29.6°C (or 30°C if rounded to the nearest whole number)
• Working: Sum = 24 + 28 + 32 + 34 + 30 = 148. Average = 148 ÷ 5 = 29.6°C.
• Marking: 2 marks for 29.6°C. Accept 30°C if student states "rounded to nearest whole number." 1 mark for correct sum of 148.

Section C: Reading and Interpreting Pie Charts

Question 11 (2 marks)

• Answer: 1/3
• Working: Orange sector = 120°. Total in pie chart = 360°. Fraction = 120/360 = 1/3.
• Marking: 2 marks for correct simplified fraction. 1 mark for 120/360 (unsimplified).

Question 12 (2 marks)

• Answer: 30 students
• Working: Apple sector = 90°. Fraction = 90/360 = 1/4. Number of students = 1/4 × 120 = 30.
• Marking: 2 marks for correct answer. 1 mark for correct fraction (1/4) or correct method.

Question 13 (2 marks)

• Answer: 20 more students
• Working: Orange = 120/360 × 120 = 40 students. Banana = 60/360 × 120 = 20 students. Difference = 40 − 20 = 20.
• Marking: 2 marks for correct answer. 1 mark for finding either Orange or Banana correctly.

Question 14 (2 marks)

• Answer: 25%
• Working: Grape sector = 90°. Fraction = 90/360 = 1/4. Percentage = 1/4 × 100% = 25%.
• Marking: 2 marks for correct answer. 1 mark for correct fraction.

Question 15 (2 marks)

• Answer: 50 students
• Working: Original Banana = 60/360 × 120 = 20 students. New total = 20 + 30 = 50 students.
• Marking: 2 marks for correct answer. 1 mark for finding original Banana count (20).

Section D: Data Analysis — Problem Solving

Question 16 (2 marks)

• Answer: 1,400 visitors
• Working: 200 + 350 + 150 + 400 + 300 = 1,400
• Marking: 2 marks for correct answer. 1 mark for correct addition with minor error.

Question 17 (2 marks)

• Answer: 280 visitors
• Working: 1,400 ÷ 5 = 280
• Marking: 2 marks for correct answer. 1 mark for showing division.

Question 18 (2 marks)

• Answer: Friday
• Working: Average = 280. 280 + 50 = 330. No day has exactly 330 visitors. However, Friday has 300 visitors, which is 20 more than average. Re-checking: the question asks for 50 more than average = 280 + 50 = 330. No day matches exactly. Correction: The closest interpretation — Thursday has 400 (120 more), Tuesday has 350 (70 more), Friday has 300 (20 more). None is exactly 50 more. Revised answer: If the question intends the nearest, Friday (300) is 20 above average. However, to make the question valid, we note that no day is exactly 50 more. For marking purposes, accept Friday if the question is interpreted as "closest to 50 more," or note that the question may need adjustment. For a clean answer, we adjust the intended answer to Friday (300 = 280 + 20, closest to +50 among options that are above average but not exceeding by too much). Alternatively, if we treat the question as written, the answer is none. For Primary 5 purposes, the expected answer is Friday (300 visitors, which is above average).
• Marking: 2 marks for Friday with reasoning. 1 mark for calculating the average correctly.

Note for teachers: This question works best if the data is adjusted so one day is exactly 330. Consider changing Friday's value to 330 for a cleaner question. The answer key above assumes the data as given and accepts Friday as the closest valid response.

Question 19 (3 marks)

• Answer: $4,160
• Working:
  • Total visitors on Thursday = 400
  • Ratio of adults to children = 3 : 2
  • Total parts = 3 + 2 = 5
  • Number of adults = 3/5 × 400 = 240
  • Number of children = 2/5 × 400 = 160
  • Money from adults = 240 × $12 =$2,880
  • Money from children = 160 × $8 =$1,280
  • Total collected = $2,880 +$1,280 = $4,160
• Marking: 1 mark for finding number of adults (240). 1 mark for finding number of children (160) and calculating each ticket revenue. 1 mark for correct final answer.

Question 20 (3 marks)

• Answer: The actual number of visitors fell short of the target by 12.5%.
• Working:
  • Target = 1,600 visitors
  • Actual = 1,400 visitors
  • Shortfall = 1,600 − 1,400 = 200
  • Percentage shortfall = (200 / 1,600) × 100% = 12.5%
• Marking: 1 mark for finding the shortfall (200). 1 mark for correct fraction (200/1,600). 1 mark for correct percentage (12.5%).

Total: 40 marks