Higher June 2021 Paper 1 Q20
20 \(P = \dfrac{t - w}{y}\)
\(t = 9.7\) correct to 1 decimal place
\(w = 5.9\) correct to 1 decimal place
\(y = 3\) correct to 1 significant figure
Calculate the upper bound for the value of \(P\).
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| 9.65, 9.75, 5.85, 5.95, 2.5, 3.5 | B1 |
| \(\dfrac{9.75 - 5.85}{2.5}\) | M1 |
| Working required Answer: 1.56 | A1 |
| (3) | |
| (3 marks) |
Notes
B1: for any one of these stated or used, accept \(9.74\dot{9}\), \(5.94\dot{9}\), \(3.4\dot{9}\)
M1: for \(\dfrac{\mathrm{UB}_t - \mathrm{LB}_w}{\mathrm{LB}_y}\) where
\(9.7 \lt \mathrm{UB}_t \leqslant 9.75\),
\(5.85 \leqslant \mathrm{LB}_w \lt 5.9\),
\(2.5 \leqslant \mathrm{LB}_y \lt 3\)
This allows for the student who uses some sort of lower/upper value, but are slightly inaccurate eg using 9.74 for \(t\)
A1: dep on previous marks (as working is requested)