Higher June 2024 Paper 3 Q14
14
Not drawn accurately
\(b = 45^\circ \qquad\) and \(\qquad a : b = 7 : 3 \qquad\) and \(\qquad x : y = 4 : 1\)
Show that \(\quad a : y = 5 : 2\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \((a =)\ 45 \div 3 \times 7\) or 105 | M1 | oe may be on diagram |
| \((y =)\ \dfrac{360 - 45 - \text{their } 105}{4 + 1}\) or \(\dfrac{210}{5}\) or 42 | M1dep | oe may be on diagram |
| \((a =)\ 105\) and \((y =)\ 42\) or 105 : 42 and \((a : y =)\) 5 : 2 with M2 awarded | A1 | |
| Alternative method 2 | ||
| \((a =)\ 45 \div 3 \times 7\) or 105 | M1 | oe may be on diagram |
| \((y =)\) their \(105 \div 5 \times 2\) or 42 | M1dep | oe may be on diagram |
| \(45 + 105 + 42 + 168 = 360\) and \(42 \times 4 = 168\) or \(360 - 45 - 105 - 42 = 168\) and \(168 \div 4 = 42\) | A1 | |
Additional guidance
| 105 : 42 | M1M1A0 |