Primary 4 Mathematics Data Analysis Quiz

Primary 4 Mathematics Quiz - Data Analysis: Answer Key

Total Marks: 40 marks
Duration: 40 minutes

Section A: Tables and Lists (14 marks)

Question 1 (2 marks)

(a) Thursday (1 mark)

Explanation: Compare all values: Monday 145, Tuesday 203, Wednesday 178, Thursday 256, Friday 198. Thursday has the largest number (256).

(b) 111 more books (1 mark)

Working: $256 - 145 = 111$

Explanation: To find "how many more," subtract the smaller number from the larger number. Thursday (256) minus Monday (145) equals 111.

Question 2 (2 marks)

(a) 7 students (1 mark)

Working: $18 + 24 + 16 + 15 = 73$, then $80 - 73 = 7$

Explanation: The total must be 80 students. Add up the known values: $18 + 24 + 16 + 15 = 73$. Then subtract from 80 to find the missing number: $80 - 73 = 7$.

(b) Badminton and Basketball (1 mark)

Explanation: Check pairs: Swimming + Badminton = $18 + 24 = 42$; Swimming + Basketball = $18 + 16 = 34$; Badminton + Basketball = $24 + 16 = 40$ ✓

Question 3 (2 marks)

(a) $12.10 (1 mark)

Working: 2 kg of oranges: 2 \times \3.80 = $7.60$; 1 kg of apples:$1 \times $4.50 = $4.50$; Total:$$7.60 + $4.50 = $12.10$

(b) No, he needs $2.10 more (1 mark)

Working: \12.10 - $20.00 = $he doesn't have enough. Actually he is short by$$12.10 - $20.00$ — wait, he has MORE than enough.

Correction: Yes, he has enough money. He has \20.00$and needs$$12.10$. He has$$20.00 - $12.10 = $7.90$ left over.

Common mistake: Careful with "enough" questions — check which number is larger.

Revised answer: Yes, he has enough money. He will have \7.90$ left.

Question 4 (2 marks)

(a) 29°C (1 mark)

Working: Hottest: Bangkok 34°C; Coldest: Seoul 5°C; Difference: $34 - 5 = 29$

Explanation: "Difference" means subtraction. Always subtract the smaller from the larger number.

(b) 4°C (1 mark)

Working: $12 - 8 = 4$

Explanation: "Lower than" means subtract. Tokyo is 12°C, London is 8 degrees lower: $12 - 8 = 4$.

Question 5 (2 marks)

(a) Ali total: 83; Ben total: 91; Charlie foreign: 46 (1 mark)

Working:

• Ali: $45 + 38 = 83$
• Ben: $62 + 29 = 91$
• Charlie: $97 - 51 = 46$

(b) Ben (1 mark)

Explanation: Compare totals: Ali 83, Ben 91, Charlie 97... wait, Charlie has 97? Let me recheck: Charlie total is given as 97. So Charlie has the most!

Correction: Charlie has the most stamps with 97.

Question 6 (2 marks)

(a) 130 students (1 mark)

Working: $35 + 48 + 22 + 18 + 7 = 130$

Explanation: "Altogether" means add all categories.

(b) 19 more students (1 mark)

Working: MRT + Bicycle = $22 + 7 = 29$; Bus - 29 = $48 - 29 = 19$

Explanation: First combine MRT and Bicycle, then find the difference from Bus.

Question 7 (2 marks)

(a) 83 (1 mark)

Working: $260 - 85 - 92 = 260 - 177 = 83$

Explanation: Total minus Round 1 minus Round 2 equals Round 3.

(b) Farhan (1 mark)

Working:

• Devi: 260 (given)
• Esther: 250 (given)
• Farhan: $90 + 85 + 87 = 262$
• Gina: 245 (given)

Explanation: Farhan has 262, which is the highest total.

Section B: Line Graphs (14 marks)

Question 8 (2 marks)

(a) 9 cm (1 mark)

Explanation: Find Week 2 on the x-axis, move up to the line, then across to the y-axis. The value is 9 cm.

(b) Week 1 to Week 2 (1 mark)

Explanation: Calculate growth each period:

• Week 0 to 1: $6 - 4 = 2$ cm
• Week 1 to 2: $9 - 6 = 3$ cm ✓ (most)
• Week 2 to 3: $11 - 9 = 2$ cm
• Week 3 to 4: $14 - 11 = 3$ cm
• Week 4 to 5: $15 - 14 = 1$ cm

Note: Week 1 to 2 and Week 3 to 4 both show 3 cm. Either answer accepted, or state both.

Question 9 (2 marks)

(a) 60 litres (1 mark)

Explanation: "At the start" means time = 0. Read the value at Hour 0, which is 60 litres.

(b) 25 litres (1 mark)

Working: At Hour 2: 50 L; At Hour 5: 25 L; Water lost: $50 - 25 = 25$ L

Explanation: The graph shows the tank is being emptied (downward trend). Find the values at the two times and subtract.

Question 10 (2 marks)

(a) 3 July (1 mark)

Explanation: The highest point on the line is at 35°C, which corresponds to 3 July.

(b) 4°C (1 mark)

Working: $35 - 31 = 4$

Explanation: Temperature on 3 July (35°C) minus temperature on 1 July (31°C) = 4°C increase.

Question 11 (3 marks)

(a) 10 km (1 mark)

Explanation: Find 30 minutes on x-axis, read across to line, down to y-axis: 10 km.

(b) From 20 to 30 minutes (1 mark for correct interval); Because the line is steepest / the slope is greatest (1 mark)

Working: Calculate distance per interval:

• 0-10 min: 3 km
• 10-20 min: $6 - 3 = 3$ km
• 20-30 min: $10 - 6 = 4$ km ✓ (steepest)
• 30-40 min: $12 - 10 = 2$ km
• 40-50 min: $15 - 12 = 3$ km
• 50-60 min: $16 - 15 = 1$ km

Explanation: On a distance-time graph, the steeper the line, the faster the speed. The steepest segment is 20-30 minutes.

Question 12 (3 marks)

(a) March (1 mark)

Explanation: Read from the graph where value is 4200.

(b) 20,500 visitors (2 marks)

Working: March: 4200; April: 4800; May: 5500; June: 6000

Total: $4200 + 4800 + 5500 + 6000 = 20,500$

Mark breakdown: Correct method (adding four values): 1 mark; Correct answer: 1 mark

Question 13 (3 marks)

(a) 4.5 kg (1 mark)

Explanation: Read value at 2 months from graph.

(b) 4.3 kg (1 mark)

Working: $7.5 - 3.2 = 4.3$ kg

Explanation: Mass at 6 months minus mass at birth (0 months).

(c) From 2 months to 3 months (1 mark)

Working: Calculate monthly gains:

• 0-1 month: $3.8 - 3.2 = 0.6$ kg
• 1-2 months: $4.5 - 3.8 = 0.7$ kg
• 2-3 months: $5.5 - 4.5 = 1.0$ kg ✓
• 3-4 months: $6.2 - 5.5 = 0.7$ kg
• 4-5 months: $6.8 - 6.2 = 0.6$ kg
• 5-6 months: $7.5 - 6.8 = 0.7$ kg

Question 14 (3 marks)

(a) March (1 mark)

Explanation: The two lines cross at March, where both equal 150.

(b) Ice cream sales increased / went up / rose from January to June (1 mark)

Explanation: Accept any description of increasing trend. The line goes upward from 50 to 300.

(c) Example answer: Because as weather gets warmer, people buy more ice cream and fewer hot drinks (1 mark)

Explanation: Accept any reasonable seasonal explanation. The opposite trends suggest temperature or season affects both products differently.

Section C: Pie Charts (12 marks)

Question 15 (2 marks)

30 students (2 marks)

Working: $25\% \text{ of } 120 = \frac{25}{100} \times 120 = \frac{1}{4} \times 120 = 30$

Alternative: $120 \div 4 = 30$

Explanation: 25% means one-quarter. Divide 120 by 4 to get 30.

Mark breakdown: Correct percentage conversion or method: 1 mark; Correct answer: 1 mark

Question 16 (4 marks)

(a) $\frac{1}{2}$ (2 marks)

Working: Food angle = 180°. Full circle = 360°. Fraction = $\frac{180}{360} = \frac{1}{2}$

Explanation: A half-turn (180°) is half of a full turn (360°).

(b) $200* (2 marks)

Working: Drinks angle = 90°. Fraction = $\frac{90}{360} = \frac{1}{4}$

Amount: \frac{1}{4} \times \800 = $200$

Mark breakdown: Correct fraction: 1 mark; Correct calculation: 1 mark

Question 17 (3 marks)

(a) 60 students (1 mark)

Working: $200 - 80 - 60 = 60$

Explanation: Total minus Red minus Blue equals Green + Yellow together.

(b) 30 students (2 marks)

Working: $60 \div 2 = 30$

Explanation: If Green and Yellow are equal, split 60 equally: half each.

Mark breakdown: Correct method (division by 2): 1 mark; Correct answer: 1 mark

Question 18 (3 marks)

(a) 90° (1 mark)

Working: $360 - 120 - 90 - 60 = 90$

Explanation: Angles in a pie chart add to 360°. Subtract known angles from 360°.

(b) 600 books (2 marks)

Working: Science fraction = $\frac{60}{360} = \frac{1}{6}$

Number of Science books = $\frac{1}{6} \times 3600 = 600$

Mark breakdown: Correct fraction or angle method: 1 mark; Correct answer: 1 mark

Question 19 (4 marks)

(a) $\frac{1}{4}$ (2 marks)

Working: Common denominator for 3, 4, 6 is 12.

$\frac{1}{3} = \frac{4}{12}$; $\frac{1}{4} = \frac{3}{12}$; $\frac{1}{6} = \frac{2}{12}$

Sum: $\frac{4+3+2}{12} = \frac{9}{12} = \frac{3}{4}$

Chores: $1 - \frac{3}{4} = \frac{1}{4}$

Mark breakdown: Correct common denominator or method: 1 mark; Correct answer: 1 mark

(b) 5 more pupils (2 marks)

Working: Study: $\frac{1}{3} \times 60 = 20$ pupils

Sports: $\frac{1}{4} \times 60 = 15$ pupils

Difference: $20 - 15 = 5$

Mark breakdown: Correct values for both: 1 mark; Correct difference: 1 mark

Question 20 (4 marks)

(a) 360 people (2 marks)

Working: 90° represents 90 people.

So 1° represents 1 person.

Full circle 360° represents $360 \times 1 = 360$ people.

Alternative: $\frac{90}{90°} = 1$ person per degree. Total = $360 \times 1 = 360$

Mark breakdown: Correct scaling method: 1 mark; Correct total: 1 mark

(b) 60 people (2 marks)

Working: Fish angle = 60°

Since 1° = 1 person, Fish = 60 people.

Alternative: Fraction = $\frac{60}{360} = \frac{1}{6}$; People = $\frac{1}{6} \times 360 = 60$

Mark breakdown: Correct method using angle: 1 mark; Correct answer: 1 mark

END OF ANSWER KEY

Total: 40 marks