Intermediate June 2025 Unit 1 Q7
7. There are 200 pupils in a school hall.
The pupils are from Year 7 to Year 11.
One of the pupils is chosen at random.
(a) Complete the table below. [2]
| Year 7 | Year 8 | Year 9 | Year 10 | Year 11 | |
|---|---|---|---|---|---|
| Probability | 0·2 | 0·3 | 0·26 | 0·14 |
(b) How many of the pupils are in Year 10? [2]
| Scheme | Marks | Comments |
|---|---|---|
| 1 – (0·2 + 0·3 + 0·26 + 0·14) or equivalent | M1 | Answer in table takes precedence. May be seen in stages. Award M1 for complete method. Note: 1 – 0·9 |
| = 0·1(0) or equivalent | A1 | Mark final answer. An unsupported answer of 0·1 or equivalent is awarded M1A1. |
| Scheme | Marks | Comments |
|---|---|---|
| 0·14 × 200 or equivalent | M1 | Allow 14% × 200. |
| = 28 | A1 | Mark final answer. A final answer of \(\dfrac{28}{200}\) implies M1A0, but ‘28 out of 200’ is awarded M1A1. |