Higher November 2024 Paper 1 Q21
21 \(T = \dfrac{x^2 + y^2}{w}\)
| \(x = 28.4\) | correct to 1 decimal place. |
| \(y = 17\) | correct to 2 significant figures. |
| \(w = 90\) | correct to the nearest 5 |
Calculate the upper bound for the value of \(T\)
Give your answer correct to 3 significant figures.
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| 28.35 or 28.45 or 16.5 or 17.5 or 87.5 or 92.5 | B1 |
| \((T =)\;\dfrac{28.45^2 + 17.5^2}{87.5}\) (= 12.75031429) | M1 |
| Working required Answer: 12.8 | A1 |
| (3) | |
| (3 marks) |
Notes
B1: Accept
\(28.44\dot{9}\) for 28.45
\(17.4\dot{9}\) for 17.5
M1: for substituting the correct bounds into the formula for \(T\)
\((T =)\;\dfrac{UB_x^{\,2} + UB_y^{\,2}}{LB_w}\) where
\(28.4 \lt UB_x \leqslant 28.45\)
\(17 \lt UB_y \leqslant 17.5\)
\(87.5 \leqslant LB_w \lt 90\)
(corrected from the printed mark scheme: the second line is printed as \(17 \lt UB_x \leqslant 17.5\))
A1: awrt 12.8 dep on M1
Answer must come from correct figures (28.45, 17.5 and 87.5)