Foundation November 2017 Paper 1 Q20
20 \(n\) is an odd number.
\(p\) is a prime number.
In each part write down possible values of \(n\) and \(p\) so that
(a) \(n + p\) is a square number. [1 mark]
(b) \(np\) is a square number. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(n\) = an odd number and \(p\) = a prime number such that \(n + p\) is a square number | B1 | eg \(n = 1\) and \(p = 3\) \(n = 9\) and \(p = 7\) |
Additional guidance
Some of the early correct pairs are :-
| B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(n\) = an odd number and \(p\) = a prime number such that \(np\) is a square number | B1 | eg \(n = 3\) and \(p = 3\) \(n = 27\) and \(p = 3\) |
Additional guidance
Some of the early correct pairs are :-
| B1 |