Foundation June 2025 Paper 3 Q10
10
(a) This is a function machine.
(i) Find the output when the input is 10. [1]
(ii) Find the input when the output is 24. [2]
(b) This is a different function machine.
\(a\) and \(b\) are both positive integers.
When \(a\) is 7 the value of \(b\) is 26.
Find another pair of values for \(a\) and \(b\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 7.5 or \(7\dfrac{1}{2}\) oe cao | 1 | Ignore trailing zeros | |
| (ii) 43 | 2 | B1 for \(24 \times 2\) soi 48 | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [a =] 6 [b =] 13 | 3 | M2 for \(26 \div 2\) or \(26 \div 13\) or M1 for \(\dfrac{26}{8 - a}\) oe where \(a = 1, 2, 3, 4, 5\) | M2 may be implied by seeing 2, 13 and 26 linked e.g \((8 - 6) \times 13 = 26\) or factor tree For M1 “8 – a number” must be seen oe may be e.g. \(8 - 4 = k\) then \(k \times 6.5\) or \(8 - 4 = k\) then \(k\) doesn’t go into 26 oe |
If 0 or 1 scored, instead award SC2 for
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