Higher June 2024 Paper 3 Q19
19
\[R = \dfrac{P}{Q}\]\(P = 5.88 \times 10^8\) correct to 3 significant figures.
\(Q = 3.6 \times 10^5\) correct to 2 significant figures.
Work out the lower bound for \(R\).
Give your answer as an ordinary number correct to the nearest integer.
You must show all your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 1610 | B1 | for \(5.875 \times 10^8\) or \(5.885 \times 10^8\) or \(3.55 \times 10^5\) or \(3.65 \times 10^5\) or the digits 5875 or 5885 or 355 or 365 |
| M1 | for method to find lower bound, \(\dfrac{[\text{LB}]}{[\text{UB}]}\) eg \((5.875 \times 10^8) \div (3.65 \times 10^5)\) oe | |
| A1 | for answer in range 1609 – 1610 from correct working |
Additional guidance
Accept \(5.884\dot{9}\) for 5.885
Accept \(3.64\dot{9}\) for 3.65
\(5.875 \times 10^8 \leqslant [\text{LB}] \lt 5.88 \times 10^8\)
\(3.6 \times 10^5 \lt [\text{UB}] \leqslant 3.65 \times 10^5\)
If an answer is shown in the range in working and then incorrectly rounded award full marks