Hint
Use the stated units and precision. Sum every disjoint category.
Worked solution
(a)
Sum every disjoint category.
The three club counts add to 28.
Answer: \(28\)
(b)
Convert a category share into a share of the full turn.
The Art fraction \(\displaystyle \frac{11}{28}\) times 360° gives \(\displaystyle \frac{990}{7}\)°.
Answer: \(\displaystyle \frac{990}{7}\)
(c)
Divide by the survey total before multiplying by 100.
The Sport share times 100 gives \(\displaystyle \frac{275}{7}\)%.
Answer: \(\displaystyle \frac{275}{7}\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Sum every disjoint category.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Convert a category share into a share of the full turn.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Divide by the survey total before multiplying by 100.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.