Algebra Toolkit (Edexcel IGCSE Maths A: Higher): Exam Questions

The body mass index, $B$ , for a person of mass $m$ kg and height $h$ metres is given by the formula

$B=\frac{m}{h^2}$

Usman has a mass of 50 kg.

He has a height of 1.57 m.

Work out Usman's body mass index.

Give your answer correct to one decimal place.

Tom's height is 1.80 m.
He wants his body mass index to be 21

Work out the mass that will give Tom a body mass index of 21

$\begin{array}{l}A=4bc\\ \\ A=100\\ b=2\end{array}$

  Work out the value of  $c$.

You can change temperatures from °F to °C by using the formula

$C=\frac{5\left(F-32\right)}{9}$

$F$ is the temperature in °F.

$C$ is the temperature in °C.

The minimum temperature in an elderly person's home should be 20 °C.

Mrs Smith is an elderly person.
The temperature in Mrs Smith's home is 77 °F.

Decide whether or not the temperature in Mrs Smith's home is lower than the minimum temperature should be.

$x=0.7$

Work out the value of  $\frac{{\left(x+1\right)}^2}{2x}$

Write down all the figures on your calculator display.

$h=3t^2$

Work out the value of $h$ when $t=5$

$h=3t^2$

Work out the value of $t$ when $h=108$

Make $a$ the subject of the formula

$v=u+at$

$h=5t^2+2$

(i) Work out the value of $h$ when $t=-2$

[1]

(ii) Work out a value of $t$ when $h=47$

[2]

$w=5y^2–y^3$

Work out the value of $w$ when $y=–2$

$w=$................................................... 

$G=c^2–4c$

Find the value of $G$ when $c=–5$

$G=$ ......................................... 

Find the value of $s$ when $u=12,$ $a=10$ and $t=4$.

$s=ut+\frac{1}{2}a{t}^2$

Simplify.

$2p-q-3q-5p$

$y=mx+c$  

Find the value of $y$ when $m=-3$, $x=-2$ and $c=-8$.  

$y=$ ................................................. 

$y=mx+c$.

Find the value of y when $m=-2$, $x=-7$ and $c=-3$.

$y=$ .............................................. 

$s=ut+\frac{1}{2}a{t}^2$

Find the value of $s$ when $u=5.2,t=7$ and $a=1.6.$

$s=$ ................................................ 

Complete the statement.

When $5x=15$, $12x=$....................

Simplify fully $7b-3a+6b-9a$

$\begin{array}{l}y=p-2q{x}^2\\ \\ p=-10\\ q=3\\ x=-5\end{array}$

      Work out the value of $y$.

$\frac{a}{b}=3c$

$\frac{b}{c}=2$

Work out the value of $a$ when $c=8$

$a$and $b$ are positive values.

Show that  $\frac{7a+2b-3a}{8a+6b+2a-b}$ always simplifies to the same value.

Work out the values of $a$ and $b$ in the identity

      $5(7x+8)+3(2x+b)\equiv ax+13$

$a$ = .....................        $b$= .....................

Amy has $x$ beads.

Billy has three more beads than Amy.

Carly has four times as many beads as Billy.

Circle the expression for the number of beads that Carly has.

$y=x^4-4x^3$

Find the value of $y$ when $x=-1$.

$y=$................................................ 

$s=ut+\frac{1}{2}a{t}^2$

Find $s$ when $t=26.5,u=104.3,a=-2.2.$ 

Give your answer in standard form, correct to 4 significant figures.  

$s$ = .................................................... 

One solution of the equation $a{x}^2+a=150$ is $x=7$.

Find the value of $a$.  

$a$ = .................................................... 

Find the other solution.  

$x$ = .................................................... [1]