Qualified A-level maths tutors

Ask for the tutor’s named qualification and the subject and age range they have taught. A maths degree, a teaching qualification and recent A-level teaching experience answer different questions.

In England, a postgraduate certificate in education (PGCE) can be awarded with or without qualified teacher status (QTS); there are also QTS-only routes. QTS is a formal teacher status used in England. Check the actual credential, then consider how closely the tutor’s experience matches the learner’s course.

England’s A-level Mathematics builds on GCSE maths and introduces calculus and applications. AQA Mathematics 7357, for example, covers pure mathematics, statistics and mechanics. Its demands include explaining reasoning, choosing a method for an unfamiliar problem and interpreting the assumptions behind a model.

Bring the qualification title, exam board and specification code from school or college. For a course in Wales, Northern Ireland or an international A-level, share its own specification so the tutor can check the content and assessment. Familiarity with one board is a starting point for that conversation.

Use a piece of marked work to make the need precise: an algebra error before the calculus starts, an incorrect force equation, or a statistical conclusion that does not answer the question. The short teaching examples below show what correcting each kind of difficulty can involve.

Illustrative task: differentiate y = (2x + 1)³ and find the tangent at x = 0.

The answer 3(2x + 1)² misses a step. The outside function cubes its input; the inside expression, 2x + 1, has derivative 2. The chain rule multiplies these derivatives:

dy/dx = 3(2x + 1)² × 2 = 6(2x + 1)².

At x = 0, the curve passes through (0, 1) and its gradient is 6. The tangent is therefore y = 6x + 1. This connects differentiation to the straight-line equation, rather than stopping at a formula.

For an independent follow-up, try y = (3x − 2)⁴. Its derivative is 12(3x − 2)³: the extra factor is now 3. Being able to explain that change is a useful check of understanding. Chain-rule and tangent problems are part of AQA’s A-level specification.

Illustrative task: a 2 kg object is pulled vertically upwards by a tension of 24 N. Model it as a particle, with only tension and weight acting, and use g = 9.8 m/s². Find its acceleration.

Dividing 24 by 2 gives 12 m/s², but treats the tension as the whole force. The downward weight is 2 × 9.8 = 19.6 N. Taking upwards as positive, Newton’s second law gives:

24 − 19.6 = 2a, so a = 2.2 m/s² upwards.

The key correction is in the model: draw tension upwards and weight downwards, then calculate the resultant force. A useful explanation makes the sign choice and the force assumptions visible before substituting numbers. That is the kind of reasoning to look for when discussing mechanics support.

Illustrative task: before tossing a coin, choose a one-sided test for whether heads is more likely than tails, at a 5% significance level. Model ten tosses as independent, with the same probability of heads each time. Nine heads are observed.

Let p be the probability of heads. The null hypothesis is p = 0.5; the alternative is p > 0.5. Under the null, the number of heads X has a binomial distribution with ten trials and probability 0.5.

The test needs the probability of nine or ten heads, not just nine: P(X ≥ 9) = 11/1024 ≈ 0.0107, or 1.07%. This is below 5%, so reject the null hypothesis. There is evidence that the coin favours heads under the stated model.

A conclusion saying “the coin is definitely biased” goes too far. A statistical test gives evidence, not certainty. AQA’s course requires this interpretation in context as well as the calculation; both deserve attention in lessons.

Latimer offers one-to-one tuition online. Microsoft Teams is the default platform, and you and the tutor can agree another. Before the first lesson, check how the learner will show handwritten equations and diagrams, and have the relevant questions and calculator to hand. In-person lessons require an individual arrangement.

Each tutor sets their hourly rate, shown on their profile, and Latimer uses pay-as-you-go billing. Compare the rate alongside the proposed lesson length and frequency to estimate the total cost. Ask what practice or feedback is included and agree a pattern the learner can sustain alongside schoolwork.

A free introductory meeting gives you time to discuss goals, teaching approach and practical arrangements before paid lessons. It is normally an introductory conversation, not a full teaching lesson.