Introduction to Algebra (OCR GCSE Maths: Foundation): Exam Questions

Calculate the value ofwhen = 3 and = 6.

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

=.....................................

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

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

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

Calculate the value of  when and .

Simplify.

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

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

Work out the value of when = 38.64, = 5.5 and = 3.7

= ................................................. 

i) Find the value of when = 8 and = −3.

[2]

ii) Make the subject of the formula .

= ................................................... [2]

Simplify.

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

= ................................................... 

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

where 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.