Higher January 2022 Paper 1 Q18
18 \(A = w - \dfrac{x^2}{y}\)
| \(w = 3.45\) | correct to 2 decimal places. |
| \(x = 1.9\) | correct to 1 decimal place. |
| \(y = 5\) | correct to the nearest whole number. |
Work out the lower bound of the value of \(A\)
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| 3.445, 3.455, 1.85, 1.95, 4.5, 5.5 | B1 |
| \((A =)\;3.445 - \dfrac{1.95^2}{4.5}\) | M1 |
| Working required Answer: 2.6 | A1 |
| (3) | |
| (3 marks) |
Notes
B1: any one bound
M1: \(A = LB_W - \dfrac{(UB_x)^2}{LB_y}\) where \(3.445 \leqslant LB_w \lt 3.45\), \(1.9 \lt UB_x \leqslant 1.95\), \(4.5 \leqslant LB_y \lt 5\)
A1: oe, (dep on M1),
from correct figures (3.445, 1.95, 4.5)