Introduction to Algebra (OCR GCSE Maths: Foundation): 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.

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

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.

In a baking competition, 5 judges each give a cake a mark from 1 to 10.

The score for the cake is calculated using the formula

$S=4x+12$

where $x$ is the mean of the 5 marks.

Maya's cake gets the marks 6, 9, 7, 5 and 8.

Work out Maya's score.

Felix's cake gets a score of 40.

Felix says

My five marks must have been 6, 7, 7, 7 and 8 — that's how I got a mean of 7.

Explain why Felix is not necessarily correct, stating an example which disproves him.