Higher : Non-calculator

Name :

1) Work out
$\frac{6}{11 p} \div \frac{8}{3 c}$

2) A price increases from $£ 920$ to $£ 1472$ . Calculate the percentage change

3) Make $x$ the subject of
$\frac{r x + d}{c x + q} = a$

4) Simplify
$56 d x \div d$

5) Expand and simplify
$(x + 1) (x - 1) (x - 2)$

6) Solve the simultaneous equations $7 x + 4 y = - 19$ and $4 x + 5 y = - 19$

7) Express $66$ as the product of prime factors

8) Evaluate $144^{\frac{1}{2}}$

9) $B$ is directly proportional to $A$ . When $A$ $= 7$ , $B$ $= 63$ . Find the value of $B$ when $A$ $= 13$

10) $a = (\binom{- 4}{0}) b = (\binom{- 2}{- 5})$
Write $6 a - 2 b$ as a single column vector

Higher : Non-calculator

ANSWERS

1) Work out
$\frac{6}{11 p} \div \frac{8}{3 c}$

$\frac{9 c}{44 p}$

2) A price increases from $£ 920$ to $£ 1472$ . Calculate the percentage change

$60 %$

3) Make $x$ the subject of
$\frac{r x + d}{c x + q} = a$

$x = \frac{d - q a}{c a - r}$

4) Simplify
$56 d x \div d$

$56 x$

5) Expand and simplify
$(x + 1) (x - 1) (x - 2)$

$x^{3} - 2 x^{2} - x + 2$

6) Solve the simultaneous equations $7 x + 4 y = - 19$ and $4 x + 5 y = - 19$

$x = - 1, y = - 3$

7) Express $66$ as the product of prime factors

$2 \times 3 \times 11$

8) Evaluate $144^{\frac{1}{2}}$

$12$

9) $B$ is directly proportional to $A$ . When $A$ $= 7$ , $B$ $= 63$ . Find the value of $B$ when $A$ $= 13$

$117$

10) $a = (\binom{- 4}{0}) b = (\binom{- 2}{- 5})$
Write $6 a - 2 b$ as a single column vector

$(\binom{- 20}{10})$