Foundation June 2023 Paper 2R Q15
15 Sayeeda asked the members of a swimming club which one of front crawl, breaststroke, backstroke or butterfly is their favourite stroke.
The pie chart shows some information about their answers.
12 members said backstroke.
(a) Work out the number of members who said front crawl. (2)
There are 90 members in a diving club.
The diving club has a beginners group, an intermediate group and an advanced group.
Every member of the diving club is only in one of these groups.
The table shows information about the number of members in each group.
| Group | beginners | intermediate | advanced |
|---|---|---|---|
| Frequency | 18 | \(x\) | \(2x\) |
Kasim chooses at random one of the members of the diving club.
(b) Find the probability that this member is in the intermediate group. (3)
| Scheme | Marks |
|---|---|
| \(138 \div \dfrac{72}{12}\) oe or 138 ÷ “6” | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 23 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(18 + x + 2x = 90\) oe or 90 – 18 (= 72) | M1 |
| \(x = \dfrac{90 - 18}{3} = 24\) or “72” ÷ 3 (= 24) | M1 |
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(\dfrac{24}{90}\) | A1 |
| (3) | |
| (5 marks) |
Notes
A1: oe or 0.26(666…) or 26(.666…)% truncated or rounded