Introduction to Algebra (Cambridge (CIE) IGCSE International Maths: Core): Exam Questions

$A=\frac{1}{4}b{c}^2$

Calculate the value of$A$when $b$= 3 and c = 6.

$T=3a^{2}b$

Find the value of $T$ when a = 4 and b = 5.

$T$=.....................................

Kyra has a faulty thermometer.
It always shows the temperature as 2°C higher than the actual temperature.
The temperature on the thermometer is $T$°C.

Write an expression, in terms of $T$, for the actual temperature.

............................................ °C 

Calculate the value of $4x^2+xy$ when $x=3$ and $y=-2$.

Simplify.

$4x-12y+10x+25y$

The cost to manufacture a product is given by the formula:

$C=\frac{3m^{2}t}{4}+2mt-5$

where $C$ is the cost in pounds, $m$ is the material cost in pounds per unit, and $t$ is the time in hours.

Calculate the cost to manufacture the product when the material cost is £8.40 per unit and the time is 3 hours.

A pen costs 60 cents and a ruler costs 29 cents.
Write down an expression for the total cost, in cents, of $x$ pens and $y$rulers.

........................................ cents

$A=\frac{\left(a+b\right)h}{2}$

Work out the value of $h$ when $A$ = 38.64, $a$ = 5.5 and $b$ = 3.7

$h$= ................................................. 

$c=5a-2b$

i) Find the value of $c$ when $a$ = 8 and $b$ = −3.

[2]

ii) Make $a$ the subject of the formula $c=5a-2b$.

$a$ = ................................................... [2]

Simplify.

$9x-2y-5x-y$

$P=4ab+3b^2$

Work out the value of a when $P$ = 35 and $b$ = 5.

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

Find an expression for the perimeter of this triangle.
Give your answer in its simplest form.