Kat uses a rule for finding the difference of two square numbers, $a^2 - b^2$. Her rule is to multiply the sum of $a$ and $b$ by the difference between $a$ and $b$. She demonstrates this for $17^2 - 13^2$:
$17^2 - 13^2 = (17 + 13) \times (17 - 13) = 30 \times 4 = 120$.
(a)[2]
Use Kat’s method to work out $29^2 - 21^2$.
(b)[2]
Calculate the volume of the prism.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “\((29+21)\times(29-21)=50\times8\)” …