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Upgrade Maths

Online KS3 & GCSE Maths tuition

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Expert online KS3 & GCSE Maths tuition designed to build understanding, confidence and exam success.

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x2 - 5x + 6 = 0-2 × -3 = 6-2 + -3 = -5(x - 2)(x - 3) = 0x - 2 = 0 or x - 3 = 0x = 2 or x = 3x = 2, 3

What the tutor is saying

Start with the quadratic set equal to zero.

Look for two numbers that multiply to 6 and add to −5.

−2 and −3 work, so the expression factorises.

A product is only zero if one of the brackets is zero.

So solve each bracket on its own.

Two solutions, and both satisfy the original equation.

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  • Qualified and experienced
  • Edexcel focused

An hour that is planned, not improvised

Every lesson runs to the same four-part structure, whether your child learns one-to-one or in a group. They know what is coming, and so do you.

See how lessons run

Every lesson · 60 minutes

  1. 10 minStarter
  2. 20 minTeaching and AFL
  3. 15 minFluency exercise
  4. 15 minExam practice
Termly exam packExample

Year 9 · KS3 · Autumn term

Built from this term’s topics
Ratio and proportion8 questionsAngles in parallel lines6 questionsExpanding and factorising7 questionsPercentage change5 questions
26Questions
54Marks
YesMark scheme

One of these reaches every student at the end of each term, covering what was actually taught rather than a generic paper.

What you see as a parent

Tuition is easy to buy and hard to check. This is the rhythm behind it: work submitted every week, and a pack at the end of each term built from what was taught.

  1. Every lessonWork is submitted through Google Classroom, so it is recorded rather than remembered.
  2. Every weekOne homework task, around 30 minutes, to consolidate what was taught.
  3. Every termAn exam pack tailored to the content covered, with a mark scheme.

Try one yourself

Every wrong answer here is a real mistake

These are the answers students actually give. Pick one and you will get the same explanation a tutor would give in a lesson, including why the tempting answer is tempting.

That is what an hour with us is spent on: not just the method, but the specific place your child is losing the mark.

A coat is reduced by 20% in a sale. It now costs £48. What was the price before the sale?

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