Foundation June 2022 Paper 2 Q18
18
(a) The people at a party are either adults or children.
| adults : children = 9 : 11 |
What percentage are adults? [2 marks]
(b) The people at a different party are from Spain, France or Germany.
68% are from Spain
number from France = number from Germany
Work out number from Spain : number from France
Give your answer in the form \(n : 1\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{9}{9 + 11}\) or \(\dfrac{9}{20}\) or 0.45 or \(100 \div 20 \times 9\) or \(5 \times 9\) or 45 : 55 | M1 | oe eg \(9 \div 20\) |
| 45 | A1 | SC1 55 |
Additional guidance
| Allow eg \(\dfrac{9}{20}\) seen with further incorrect work | |
| eg \(\dfrac{9}{20} \times 11\) | M1A0 |
| 9 out of 20 with no other creditworthy work | M0 |
| Build-up method must be a fully correct method |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{100 - 68}{2}\) or \(\dfrac{32}{2}\) or 16(%) or \(\dfrac{1 - 0.68}{2}\) or \(\dfrac{0.32}{2}\) or 0.16 | M1 | oe |
| 68 : 16 or \(\dfrac{68}{16}\) or \(68 \div 16\) or 4.25 | A1 | oe ratio not in form \(n : 1\) eg 68% : 16% or 17 : 4 or 0.68 : 0.16 oe fraction or division or decimal implied by 4.25 : 1 oe |
| 4.25 : 1 or \(4\dfrac{1}{4}\) : 1 | B1ft | oe ratio in form \(n : 1\) eg \(\dfrac{68}{16}\) : 1 ft any ratio not in form \(n : 1\) ft values must give \(n\) to 2 dp or better |
Additional guidance
| \(\dfrac{100 - 68}{2} = 66\) | M1 |
| 68 : 66 = 1.03 : 1 | A0B1ft |
| 68 : 32 = 2.125 : 1 or 68 : 32 = 2.13 : 1 | M0A0B1ft |
| \(68 \div 32\), Answer 2.125 : 1 (no ratio seen to ft) | M0A0B0ft |
| Correct ratio with subsequent truncation or rounding to \(\lt\) 2 dp | |
| eg1 4.25 : 1, Answer 4 : 1 | M1A1B0 |
| eg2 68 : 32 = 2.125 : 1, Answer 2.1 : 1 | M0A0B0 |
| \(4.25n\) : 1 | M1A1B0 |
| 16 : 1 with no other creditworthy work | M1A0B0 |