Numeracy Higher November 2018 Unit 1 Q10
10. Each of the 250 Year 10 pupils in Blaengwyn school study one foreign language at GCSE.
The table below shows how many pupils chose to study French, German and Spanish.
| French | German | Spanish |
|---|---|---|
| 75 | 55 | 120 |
The Languages department is planning to take a group of 30 pupils on an educational trip to Europe.
Use a stratified sampling method to calculate the number of Year 10 pupils from each language group that should be taken on the trip.
You must show all your working. [4]
| Language | French | German | Spanish |
| Number in sample |
| Scheme | Marks | Comments |
|---|---|---|
| 30 × (no. studying a language) ÷ 250 | M1 | Or 0·12 × (no. studying a language) Sight of this calculation for any one language Allow (no. studying a language) ÷ 8·3(3) |
| (Number in sample studying French =) 9 | A1 | CAO |
| Sight of 6·6 and/or 14·4 (or equivalent mixed numbers) leading to an answer of 9, 7, 14 | A2 | No incorrect work should be seen for A2 A1 for one error only in working leading to an answer of 9, a, 21 – a, (a needs to be an integer) OR A1 for sight of 6·6 or 14·4, OR A1 for an answer of 9, 7, 14 An unsupported 9, 7, 14 is awarded M0A0A0 |