Foundation January 2023 Paper 2 Q9
9 There are 120 cyclists in a cycling club.
There are 67 professional cyclists and the rest are amateur cyclists.
Each of these cyclists was asked to name their favourite type of bike.
The two-way table shows some information about their answers.
| Road bike | Mountain bike | Hybrid bike | Total | |
|---|---|---|---|---|
| Professional | 26 | 67 | ||
| Amateur | 32 | |||
| Total | 39 | 54 | 120 |
(a) Complete the table. (3)
(b) Work out the percentage of the cyclists who answered Mountain bike. (2)
Jacob is going to draw a pie chart for the age groups of the 120 cyclists.
There are 41 people in the ‘over 60’ age group.
(c) Work out the size of the angle for the sector representing the ‘over 60’ age group. (2)
| Scheme | Marks | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B3 | ||||||||||||||||||||
| (3) |
Notes
B3: for all 6 entries correct
B2 for 4 or 5 correct entries
B1 for 2 or 3 correct entries
| Scheme | Marks |
|---|---|
| \(\dfrac{54}{120}\left(= \dfrac{9}{20} = 0.45\right)\) oe or \(\dfrac{54}{120} \times 100\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 45 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
\(\dfrac{41}{120} \times 360\) oe eg 0.34(166…) × 360 or 41 × 3 or \(360 \div \dfrac{120}{41}\) or 360 ÷ 2.9(268…) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 123 | A1 |
| (2) | |
| (7 marks) |