Higher June 2019 Paper 1 Q5
5
(a) Write \(\quad 0.000\,97 \quad\) in standard form. [1 mark]
(b) Work out \(\quad \dfrac{3 \times 10^5}{4 \times 10^3}\)
Give your answer as an ordinary number. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(9.7 \times 10^{-4}\) | B1 |
Additional guidance
| Condone \(9.7\,.\,10^{-4}\) or \(9.7 \cdot 10^{-4}\) | B1 |
| Ignore zeroes before the ‘9’ eg \(00009.7 \times 10^{-4}\) | B1 |
| \(9.7 \times 10^{4-}\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| 300 000 and 4000 or \((10^5 \div 10^3 =)\ 10^2\) or \((10^5 \div 10^3 =)\ 100\) or \(7.5 \times 10^{(1)}\) or \(75 \times 10^0\) or \(\dfrac{3 \times 10^2}{4}\) or \(\dfrac{300}{4}\) | M1 | |
| 75 | A1 |
Additional guidance
| If the answer is given in standard form and as 75 the student must indicate that 75 is their chosen answer or it must be the final answer given eg1 \(7.5 \times 10^{(1)} = 75\) on the answer line eg2 \(75 = 7.5 \times 10^{(1)}\) on the answer line | M1A1 M1A0 |
| \(\dfrac{300}{4}\) or 75 from incorrect working scores zero eg1 \(3 \times 10^5 = 30\,000\) and \(4 \times 10^3 = 400\) and \(30\,000 \div 400 = \dfrac{300}{4} = 75\) eg2 \(\dfrac{30\,000}{400} = 75\) | M0A0 M0A0 |
| For the method mark, ignore incorrect work from a correct expression eg \(0.75 \times 10^2 = 7.5 \times 10^3\) | M1A0 |
| If the student attempts two methods (simplifying the powers and attempting to convert to ordinary numbers) mark both methods and award the higher mark |