What is the HCF of 24 and 40?
2
4
8
What is the HCF of \(\text{x}^{2}\) and \(\text{x}^{4}\) ?
\[\text{x}\]
\[\text{x}^{2}\]
\[\text{x}^{4}\]
What is \(\text{3x + 15}\) fully factorised?
\[\text{3(x + 15)}\]
\[\text{3(x + 5)}\]
\[\text{5(x + 3)}\]
What is \(\text{18} - \text{30p}\) fully factorised?
\[\text{3(6} - \text{10p)}\]
\[\text{6(3} - \text{5p)}\]
\[\text{2(9} - \text{15p)}\]
What is \(\text{8x}^{2} + \text{4x}\) fully factorised?
\[\text{4x(2x + 1)}\]
\[\text{2x(4x + 2)}\]
\[\text{x(8x + 4)}\]
What is \(\text{18n}^{4} + \text{6n}^{2}\) fully factorised?
\[\text{6n}^{2} \text{(3n}^{2} + \text{1)}\]
\[\text{6n} \text{(3n}^{3} + \text{n)}\]
\[\text{3n}^{2} \text{(6n}^{2} + \text{2)}\]
What is \(\text{72z} + \text{108z}^{3}\) fully factorised?
\[\text{12z} \text{(6} + \text{9z}^{2} \text{)}\]
\[\text{36} \text{(2z} + \text{3z}^{3} \text{)}\]
\[\text{36z} \text{(2} + \text{3z}^{2} \text{)}\]
Questions 8 - 10 are for Higher tier
Make \(\text{t}\) the subject of the formula \(\text{p = nt + 2t}\).
\[\text{t = p} - \text{n} - 2\]
\[\text{t} = \frac{p}{(n + 2)}\]
\[\text{t} = \frac{p}{(n - 2)}\]
Make \(\text{p}\) the subject of:
\[\text{5} = \frac{ap + b}{cp + d}\]
\[\text{p} = \frac{b - 5d}{5c - a}\]
\[\text{p} = \frac{a - 5c}{b - 5d}\]
\[\text{p} = \frac{5c + d}{a - b}\]
Make \(\text{b}\) the subject of the formula:
\[\text{a} = \frac{2 - 7b}{b - 5}\]
\[\text{b} = \frac{(5a + 2)}{(a + 7)}\]
\[\text{b} = \frac{-3}{(a - 7)}\]
\[\text{b} = \frac{(2 - 5a)}{(a - 7)}\]