4400 Higher June 2010 Paper 3 Q5
5
(a) \(\dfrac{3}{10}\) of the members of a tennis club are men.
\(\dfrac{5}{6}\) of these men are right-handed.
Work out the fraction of the members of the tennis club who are right-handed men. (2)
\(\dfrac{5}{6}\) of these men are right-handed.
Work out the fraction of the members of the tennis club who are right-handed men. (2)
(b) \(\dfrac{7}{12}\) of the members of a badminton club are women.
\(\dfrac{3}{8}\) of the members of the badminton club wear glasses.
Work out the smallest possible number of members of the badminton club. (2)
\(\dfrac{3}{8}\) of the members of the badminton club wear glasses.
Work out the smallest possible number of members of the badminton club. (2)
| Scheme | Marks |
|---|---|
| \(\frac{3}{10} \times \frac{5}{6}\) | M1 |
| \(\frac{15}{60}\) or \(\frac{1}{4}\) | A1 |
| (2) |
Notes
A1: Accept \(\frac{3}{12}\), \(\frac{5}{20}\)
| Scheme | Marks |
|---|---|
| 24 | B2 |
| (2) | |
| (4 marks) |
Notes
B2: B1 for multiple of 24