Home / iGCSE Mathematics (0580) – C9.4 Statistical charts and diagrams- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C9.4 Statistical charts and diagrams- Exam Style Questions Paper 3- New Syllabus

Question

$300$ students choose where to go on a trip.
The students choose either a zoo, a museum, an art gallery or a sports stadium.

(a) Show that $75$ students choose the museum.

(b) $45$ students choose the art gallery and $120$ students choose the sports stadium.
Complete the pie chart to show this information.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C9.4 Statistical charts and diagrams
▶️ Answer/Explanation

(a)
The angle for the museum is $90^\circ$. Calculate its share of the total students:
$\frac{90}{360} \times 300 = 75$ students.
✅ Answer: $\frac{90}{360} \times 300 = 75$

(b)
Calculate the pie chart angles for the remaining choices:
Art gallery angle = $\frac{45}{300} \times 360^\circ = 54^\circ$
Sports stadium angle = $\frac{120}{300} \times 360^\circ = 144^\circ$
Zoo angle = $360^\circ – (90^\circ + 54^\circ + 144^\circ) = 72^\circ$

✅ Answer: Sectors drawn with angles $54^\circ$ and $144^\circ$.

Question

The bar chart shows the frequency of each score on a spinner.

Calculate the mean score.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C9.4 Statistical charts and diagrams
▶️ Answer/Explanation

To find the mean, we first calculate the total sum of all scores by multiplying each score by its frequency and adding them up.
Total sum = $(1 \times 7) + (2 \times 5) + (3 \times 8) + (4 \times 9) + (5 \times 6) = 7 + 10 + 24 + 36 + 30 = 107$
Total frequency = $7 + 5 + 8 + 9 + 6 = 35$
Mean = $107 \div 35 \approx 3.06$
✅ Answer: 3.06 (or 3.057…)

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