Higher June 2025 Paper 3 Q19
19 There are some sheets of paper in a pile.
The height of the pile is 10.4 cm, correct to the nearest mm.
The thickness of each sheet of paper is 0.17 mm, correct to 2 significant figures.
Calculate the upper bound for the number of sheets of paper in the pile.
You must show all your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 633 | B1 | for stating any correct bound, eg 10.35 or 10.45 or 103.5 or 104.5 or 0.165 or 0.175 or 0.0165 or 0.0175 |
| P1 | for process to find the upper bound, eg [UB of height] \(\div\) [LB of thickness] or \(104.5 \div 0.165\) or \(10.45 \div 0.0165\) or eg [UB of height] \(\div\) [LB of thickness] \(\times\ 10\) or \(10.45 \div 0.165 \times 10\) | |
| A1 | (dep on all previous marks) for an answer of 633 or 633(.33…) clearly coming from working with correct values eg \(104.5 \div 0.165 = 633\) |
Additional guidance
Accept \(10.44\dot{9}\) or 10.4499(9…) for 10.45
Accept \(0.174\dot{9}\) or 0.17499(9…) for 0.175
\(104 \lt [\text{UB of height}] \leqslant 104.5\) and \(0.165 \leqslant [\text{LB of thickness}] \lt 0.17\)
or
\(10.4 \lt [\text{UB of height}] \leqslant 10.45\) and \(0.0165 \leqslant [\text{LB of thickness}] \lt 0.017\)
\(10.4 \lt [\text{UB of height}] \leqslant 10.45\) and \(0.165 \leqslant [\text{LB of thickness}] \lt 0.17\)
Condone 630 from a correct calculation
If correct answer is seen and then incorrectly rounded award full marks
Award 0 marks for a correct answer with no (or incorrect) supportive working