Foundation November 2023 Paper 3 Q15
15 Here are two number machines.
The outputs are the same.
Work out the value of \(a\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(30 \div 6 + 18\) or \(5 + 18\) | M1 | oe |
| 23 | A1 | 23 may be in either output oval |
| \(3 \times 30 - a =\) their 23 or \(90 - a =\) their 23 or \(3 \times 30 -\) their 23 \((= a)\) or \(90 -\) their 23 \((= a)\) | M1 | oe |
| 67 | A1ft | ft \(90 -\) their 23 |
Additional guidance
| Answer 67 | M1A1M1A1 |
| \(90 - 67 = 23\) shown in working without 67 on answer line | M1A1M1A0 |
| For the ft marks allow decimal or fractional answers eg \(30 \div 6 + 18 = 1.25\) \(90 - 1.25 = 88.75\) | M1A0M1A1ft |
| \(\dfrac{23 + a}{3} = 30\) | M1A1M1 |
| \(23 + a \div 3 = 30\) | M1A1M0 |
| Allow their 23 to come from working or the first output oval eg 12 written in the first output oval, then answer 78 | M0A0M1A1ft |