OCR GCSE Maths tutors

OCR’s course covers number, algebra, ratio and rates of change, geometry and measures, probability and statistics. A topic list becomes useful when it identifies the first step the learner cannot yet complete independently.

For an approaching mock, select a few recurring errors from marked work. For ongoing support, repair the underlying skill and return to the school’s current topic. Someone aiming for a higher grade still needs reliable arithmetic and algebra when a question combines several ideas.

Reverse-percentage questions appear on both tiers. This constructed example shows the difference between repeating a procedure and understanding the starting quantity.

A jacket costs £72 after a 20% reduction. What was the original price?

A tempting answer is to add 20% of £72: £72 × 1.2 = £86.40. That uses the reduced price as the percentage base. The reduction was a percentage of the original price.

After the reduction, £72 represents 80% of the original. Write 0.8 × original price = 72, then divide: original price = 72 ÷ 0.8 = £90. Apply the discount to verify the answer: 20% of £90 is £18, and £90 − £18 = £72.

For non-calculator practice, 80% is four fifths. If four shares cost £72, one share costs £18 and five shares cost £90.

Try a changed question without copying the working: an item costs £54 after a 10% reduction. Here 90% is £54, so the original is £54 ÷ 0.9 = £60. A useful sign of understanding is explaining why the divisor changes to 0.9.

Higher preparation includes quadratics where the coefficient of x² is greater than 1. In this original illustration, the challenge is to form the equation, solve it and interpret the answer as a length.

A rectangle has sides x cm and (2x + 1) cm. Its area is 15 cm². Find its dimensions.

Area means multiplying the two side lengths, so x(2x + 1) = 15. Expanding and moving all terms to one side gives 2x² + x − 15 = 0. Keep x² and x as separate terms: they cannot be added to make 3x².

Factorise: (2x − 5)(x + 3) = 0. Expanding the brackets checks the factorisation: 2x² + 6x − 5x − 15 = 2x² + x − 15.

For the product to be zero, one factor must be zero. Thus x = 2.5 or x = −3. Reject −3 because a side length must be positive. The rectangle is 2.5 cm by 6 cm, and 2.5 × 6 = 15 checks the area.

For a follow-up, use sides x cm and (2x + 3) cm with area 14 cm². The equation is 2x² + 3x − 14 = 0, giving (2x + 7)(x − 2) = 0. The positive solution gives 2 cm by 7 cm. Reaching the equation without a prompt is a stronger progress signal than copying the factorisation.

Use official J560 papers for the learner’s tier alongside the matching mark schemes. OCR also publishes examiner reports. Look for the report for the paper being reviewed, then connect its feedback to the learner’s actual answer.

OCR now provides separate Foundation and Higher formulae sheets for the lifetime of the current specification, including resits. Use the current sheet for the learner’s tier during practice. Finding a formula is only the start: the learner still needs to select it, substitute correctly and interpret the result.

The most recent secure materials may require school access through Teach Cambridge. Use the public papers available on OCR’s assessment page for independent practice.

Use the introductory conversation to describe what the learner can do and where they become stuck. Share a recent marked question, the tier, the target and any approaching assessment. Ask the tutor how they would use that work to decide the first teaching priority.

If reading a dense question or keeping track of several steps is difficult, ask for shorter chunks, clear diagrams and time to explain the task back. State any known learning needs and discuss the tutor’s relevant experience. These are teaching adjustments to agree for the individual learner.

Latimer provides one-to-one tuition primarily online. Tutors set their own rates and lessons are pay as you go. Check the profile rate and agree the lesson length, schedule and any expectations for practice or feedback before booking.

A free introductory meeting is available to discuss goals, approach and arrangements; it is not normally a full teaching lesson. Use it to decide whether the tutor’s explanation and proposed plan suit the learner. A tutor-matching request is also free.

Microsoft Teams is the default lesson platform, with alternatives by agreement. For maths, agree how both people will see handwritten working: a clear camera view, shared document or an agreed writing tool may suit. Have paper, a pen, the relevant questions and a calculator ready when needed.

For in-person tuition, discuss the location and practical arrangements with the individual tutor.