Tell us about your STEP Mathematics goals. We’ll confirm tutor availability, fees and suitable demo options.
Know what you’re preparing for
Your test, in context.
Who it’s for
Applicants whose mathematics-related university offer or application specifies STEP.
What to expect
STEP 2 and STEP 3 are distinct mathematics examinations. Their prerequisite mathematics and further-mathematics content differ.
Before you plan
STEP and TMUA are different tests. A university decides which paper and result it requires; consult the actual course or offer conditions.
Understanding before speed
The skills to focus on.
01
Pure mathematical reasoning
Connect topics, work through substantial algebra and explain a complete line of argument.
02
Applied problem-solving
Use the required mechanics and probability/statistics content, checking assumptions and interpreting results.
Free learning resources
Practise a skill. Understand your next step.
Choose a topic that fits your current level. These short samples support the skills discussed above; they are not a complete STEP Mathematics mock test.
Understand it. Try it. Review it.
Put your differentiation and integration learning into practice.
Worked example · Differentiation and integration
Find the stationary point of f(x) = x^2 - 6x + 8.
Differentiate: f'(x) = 2x - 6.
Set f'(x) = 0, so x = 3.
f(3) = -1. The parabola opens upwards, so (3, -1) is a minimum.
Check the current specification and required paper first. Work on one unfamiliar problem in depth, explain a partial solution and revisit the point where progress stopped. Use official papers to build question-selection and time-management habits once the prerequisite methods are secure.
Use the official requirements and your attempted work to identify the next skill.
02
Practise with a purpose
Review a method, attempt a new task and explain the reasoning in your own words.
03
Review and adjust
Check repeated mistakes and revisit the skill before adding more timed practice.
Helpful answers
Questions before you begin.
Who is this step mathematics preparation guide for?
Applicants whose mathematics-related university offer or application specifies STEP.
What should I bring to a preparation discussion?
Bring the current school or programme instructions, your test date if known and an attempted task. STEP and TMUA are different tests. A university decides which paper and result it requires; consult the actual course or offer conditions.
Are these worksheets official test papers?
No. They are original Noble Educators topic samples with worked examples and answer guidance. Choose a sample that fits your level. Use the official resources below for test-format familiarisation and full practice papers where available.
Guide reviewed 8 September 2026. Noble Educators is an independent tutoring service. Test names identify the relevant assessment; they do not imply endorsement by its provider.
Make your next practice session count.
Bring your goals and an attempted question. We’ll discuss suitable support and a manageable next step.
Preview the worksheet