Skip over navigation
Whether you are starting A Levels, Highers, International Baccalaureate, or another higher maths qualification, it might take a while to find your feet.
These problems use familiar ideas from Stage 4 to help you to find a way in.
Between
Name That Graph
Which Fraction Is Bigger?
Paired Parabolas
Finding Your Feet
Finding your feet
Whether you are starting A Levels, Highers, International Baccalaureate, or another higher maths qualification, it might take a while to find your feet.
These problems use familiar ideas from Stage 4 to help you to find a way in.
Between Age 16 to 18Challenge Level 
Age 16 to 18
Challenge Level
If you know some points on a line, can you work out other points in between?
Name That Graph Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
How can you work out the equation of a parabola just by looking at key features of its graph?
Which Fraction Is Bigger? Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
Given two algebraic fractions, how can you decide when each is bigger?
Paired Parabolas Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
Some parabolas are related to others. How are their equations and graphs connected?
You may also like
Powerful Quadratics
This comes in two parts, with the first being less fiendish than the second. It’s great for practising both quadratics and laws of indices, and you can get a lot from making sure that you find all the solutions. For a real challenge (requiring a bit more knowledge), you could consider finding the complex solutions.
Discriminating
You're invited to decide whether statements about the number of solutions of a quadratic equation are always, sometimes or never true.
Factorisable Quadratics
This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.