Higher June 2023 Paper 2 Q5
5 Jess saves 2p, 5p and 10p coins.
She has
- 45 10p coins
- 8 times as many 2p coins as 10p coins
- £17.70 in total.
Work out total value of 2p coins : total value of 5p coins
Give your answer in its simplest form. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(45 \times 8\) or 360 | M1 | oe number of 2p coins may be embedded |
| \(45 \times 8 \times 2\) or \(360 \times 2\) or 720 or 7.2(0) | M1dep | oe value of 2p coins implied by 1170 or 11.7(0) |
| \(17.7(0) -\) their \(7.2(0) - 45 \times 0.1(0)\) or \(1770 -\) their \(720 - 45 \times 10\) or 6(.00) or 600 | M1dep | oe value of 5p coins implied by 7.2 : 6 oe ratio not in simplest form or 6 : 7.2 oe ratio |
| 6 : 5 | A1 | accept 1.2 : 1 or \(\dfrac{6}{5} : 1\) or \(1\dfrac{1}{5} : 1\) or 1 : 0.83(…) or \(1 : \dfrac{5}{6}\) |
Additional guidance
| Up to M3 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |||||||||||||
| Allow working in pence or pounds throughout | |||||||||||||
| Must work consistently in pence or pounds for the third mark (or recover) | |||||||||||||
| Ignore units in the ratio eg 6p : 5p or £1.20 : £1 | M3A1 | ||||||||||||
| 720 may be seen in a ratio with the value of the 10p coins eg 720 : 450 or 7.2 : 4.5 | M2 | ||||||||||||
| 600 may be seen in a ratio with the value of the 10p coins eg 600 : 450 or 6 : 4.5 | M3 | ||||||||||||
For information:
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