4MA0 Higher June 2011 Paper 3 Q20
20 \(x = a \times 10^n\) where \(n\) is an integer and \(\sqrt{10} \leqslant a \lt 10\)
Find, in standard form, an expression for \(x^2\).
Give your expression as simply as possible.
(3)
| Scheme | Marks |
|---|---|
| \(a^2 \times 10^{2n}\) | M1 |
| A1 | |
| \(\dfrac{a^2}{10} \times 10^{2n+1}\) | A1 |
| (Total 3 marks) |
Notes
A1: for \(\dfrac{a^2}{10}\) oe
A1: for \(\times 10^{2n+1}\) oe
Award M1 A1 A1 for \(\dfrac{a^2}{10} \times 10^{2n+1}\) even if M1 not awarded.
Award M1 A1 A0 if \(\dfrac{a^2}{10}\) oe seen.
Award M1 A0 A1 if \(\times 10^{2n+1}\) oe seen.