Higher June 2021 Paper 1 Q10
10 Jethro has sat 5 tests.
Each test was marked out of 100 and Jethro’s mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test.
(3)
| Scheme | Marks |
|---|---|
| 5 × 74 (= 370) or 6 × 77 (= 462) or 5 × 0.74 (= 3.7) or 6 × 0.77 (= 4.62) | M1 |
| 6 × 77 – 5 × 74 or “462” – “370” or (6 × 0.77 – 5 × 0.74) × 100 or (“4.62” – “3.7”) × 100 | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 92 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: one correct product
M1: from correct working
A1: allow 92/100 or 92% or 92 out of 100
(trial and error scores no marks unless correct – and then it gains full marks)
M2 for 74 + (3 × 6) oe or 77 + (3 × 5) oe (where 3 = 77 – 74)