Higher June 2022 Paper 3 Q16
16 \(p = \sqrt{\dfrac{2e}{f}}\)
\(e = 6.8\) correct to 1 decimal place.
\(f = 0.05\) correct to 1 significant figure.
Work out the upper bound for the value of \(p\).
Give your answer correct to 3 significant figures.
You must show all your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 17.4 | B1 | for stating any correct bound, eg 6.75 or 6.85 or 0.045 or 0.055 |
| M1 | using both UB of \(e\) and LB of \(f\) to work out value of \(2e \div f\), eg 2[UB of \(e\)] \(\div\) [LB of \(f\)] or \(\dfrac{2 \times 6.85}{0.045}\) | |
| A1 | for answer in the range 17.4 to 17.5 from correct working |
Additional guidance
Accept \(6.84\dot{9}\) or 6.8499... for 6.85
and \(0.054\dot{9}\) or 0.05499.. for 0.055
\(6.8 \lt \text{UB}(e) \leqslant 6.85\)
\(0.045 \leqslant \text{LB}(f) \lt 0.05\)
If an answer is given in the range in working and then rounded incorrectly award full marks.
Award 0 marks for a correct answer with no (or incorrect) supportive working