Higher January 2019 Paper 1R Q4
4 \(a\), \(a\), \(b\) and 40 are four numbers.
\(a\) is the least number.
40 is the greatest number.
The range of the four numbers is 14
The median of the four numbers is 30
Work out the value of \(a\) and the value of \(b\).
(3)
| Scheme | Marks |
|---|---|
| (\(a\) = ) 40 − 14 (=26) | M1 |
| e.g. \(\dfrac{\text{``}{26}\text{''} + b}{2} = 30\) or 30 + (30 – “26”) | M1 |
| 26 34 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: Method to find \(a\)
M1: Method to find \(b\)