Algebra Toolkit (Edexcel IGCSE Maths): Exam Questions

$y=p-2qx^{2}\,\,p=-10\,q=3\,x=-5$

Work out the value of $y$.

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

You can work out the amount of medicine, c ml, to give to a child by using the formula

$c=\frac{ma}{150}$

$m$ is the age of the child, in months.

$a$ is an adult dose, in ml.

A child is 30 months old.

An adult's dose is 40 ml.

Work out the amount of medicine you can give to the child.

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

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

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

$A=4bc\,\,A=100\,b=2$

Work out the value of $c$.

$f=3g+7h$

Work out the value of $f$ when $g=---5$ and $h=2$

$a$and $b$ are positive values.

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

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

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

$F$ 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.

Simplify $4y+2x---3+3x+8$

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

$5(7x+8)+3(2x+b)\equiv ax+13$

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

$x=0.7$

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

Write down all the figures on your calculator display.

Simplify $6g---5h-4g+2h$

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.

$h=3t^{2}$

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

$v=u+at$

Simplify $ab-5g+5ab-2g$

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

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

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

$h=5t^{2}+2$

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

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

Circle the expression that is equivalent to $3a--a\times4a+2a$

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

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

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

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

$w=5y^{2}--y^{3}$

Work out the value of $w$ when $y=--2$

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

Sofia is trying to simplify $\frac{6c+10}{2}$

Her method is

divide $6c$ by 2

then add 10

Evaluate her method.

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

Find the value of $a$.

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

Find the other solution.

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

$G=c^{2}--4c$

Find the value of $G$ when $c=--5$

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

$y=\frac{10}{x}$

If the value of $x$ doubles, what happens to the value of $y$? Circle your answer.

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

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

Simplify $3a+7b-4a+b$.

Simplify.

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

Simplify.

$3a-5b-a+2b$

$y=mx+c$

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

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

Simplify $5c-d-3d-2c$.

$y=mx+c$*. *

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

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

Find the value of $7x+3y$ when* *$x=12$ and $y=-6$.

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

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

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

Complete the statement.

When $w=$ ............... , $10w=70$.

Complete the statement.

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