Blog
Guidance I'd give in a lesson or a parents' evening: how to revise, where marks are actually lost, and what to do when progress stalls.
GCSE · 12 min read
A maths teacher's complete guide to GCSE ratio and proportion: sharing in a ratio, direct and inverse proportion, best buys, recipes, and the exam questions that catch students out.
A-Level · 13 min read
A teacher's guide to A-Level Maths trigonometric identities: which ones to know, how to prove identities step by step, solving trig equations, and the mistakes that cost marks.
A-Level · 15 min read
A teacher's complete revision guide to A-Level Maths Statistics: data, probability, distributions, hypothesis testing and how to turn calculations into full marks.
A-Level · 14 min read
A practical teacher-written guide to the Edexcel A-Level Maths large data set: what it is, which variables matter, how exam questions use it, and how to revise it efficiently.
A-Level · 11 min read
A gentle, thorough introduction to A-Level mechanics for Year 12 students: what mechanics actually is, how to draw force diagrams properly, resolving forces, Newton's laws, and where the easy early marks hide.
A-Level · 11 min read
A teacher's honest comparison of Edexcel, AQA, OCR and OCR MEI A-Level Maths: paper structure, question style, the large data set, formula booklets, and what the differences mean for your revision.
Revision · 13 min read
Why so-called careless mistakes in maths usually have identifiable causes, and a practical checking routine to catch them before they cost marks.
A-Level · 13 min read
What the TMUA and MAT admissions tests actually assess, how they differ, and a realistic preparation plan for students applying to maths-heavy degrees.
For parents · 13 min read
Practical, realistic ways parents can support A-Level Maths students who are struggling with the jump from GCSE, without needing to know the content.
For parents · 14 min read
An honest, practical checklist for parents wondering whether their child needs a maths tutor, plus what to try first and what tutoring actually changes.
For parents · 14 min read
A practical plan for catching up in maths after illness, absence or a school move — how to find the real gap and close it without panicking.
A-Level · 11 min read
A complete guide to A-Level sequences and series: arithmetic and geometric formulae, sum to infinity, sigma notation and recurrence relations, with examples.
GCSE · 10 min read
All the GCSE circle theorems explained clearly, with the exact proof wording examiners expect, common diagram traps, and worked angle-chasing examples.
A-Level · 12 min read
A practical revision plan for A-Level Further Maths: managing the extra content, choosing optional modules wisely, and where students typically lose marks.
A-Level · 11 min read
A step-by-step guide to A-Level hypothesis testing: null and alternative hypotheses, critical regions, one-tailed and two-tailed tests, and common mistakes.
A-Level · 12 min read
A clear walkthrough of vectors for GCSE and A-Level Maths: notation, arithmetic, geometric proof, and the 3D vector work needed for Edexcel, AQA and OCR.
A-Level · 9 min read
Logarithm laws, exponential and log equations, and the natural logarithm explained for A-Level Maths, with worked examples and common errors.
GCSE · 8 min read
A step-by-step method for GCSE Maths worded and multi-step problems, with worked examples across number, ratio, algebra and geometry, and common errors.
GCSE · 9 min read
A complete method for solving linear and non-linear simultaneous equations at GCSE and A-Level, with worked examples and the mistakes that lose marks.
A-Level · 9 min read
How to expand (a + bx)ⁿ for positive integer and non-integer powers at A-Level Maths, with worked examples, validity conditions and common errors.
A-Level · 11 min read
Every type of A-Level Maths proof — deduction, exhaustion, contradiction and disproof by counter-example — with worked examples and mark-scheme detail.
GCSE · 10 min read
Practical strategies for the GCSE Maths non-calculator paper, including mental and written arithmetic methods, common question types, and time management.
A-Level · 11 min read
A clear, step-by-step explanation of integration by parts for A-Level Maths, including how to choose u and dv, worked examples, and common errors.
A-Level · 12 min read
What actually separates an A* from an A in A-Level Maths, including the aggregate threshold, common ceiling errors, and a realistic plan to close the gap.
GCSE · 10 min read
How GCSE Maths grade boundaries are set each year, why they move, and how to use them sensibly when judging past paper performance.
A-Level · 12 min read
A practical method for building an A-Level Maths revision timetable, with a realistic weekly structure, worked example, and common planning mistakes to avoid.
A-Level · 8 min read
A plain explanation of differentiation for A-Level Maths, the rules you need, and the errors that cost marks on chain, product and quotient rule questions.
GCSE · 7 min read
Which GCSE Maths formulas are printed on the paper, which you must learn by heart, and a simple weekly routine for making them stick before the exam.
GCSE · 6 min read
How to draw and use probability tree diagrams at GCSE, including conditional probability without replacement and the mistakes that lose easy marks.
GCSE · 8 min read
A teacher's revision plan for GCSE Maths Higher tier: which topics carry the most marks, how to split your time, and how to stop revising what you can already do.
Revision · 7 min read
A teacher's method for getting real value from GCSE and A-Level maths past papers: timing, strict marking, error classification and how many papers to do.
Revision · 6 min read
What to look for in a calculator for GCSE and A-Level Maths, which functions actually save marks, and the calculator habits that cost students accuracy marks.
GCSE · 7 min read
A four-week plan for GCSE Maths mocks: what to revise each week, how to use past papers, and how to make the mock useful whatever the result.
Revision · 6 min read
What examiners want from 'show that', 'prove', 'hence' and 'verify' questions, and how to set out working so every method mark is earned.
A-Level · 9 min read
A maths teacher's practical revision plan for A-Level Maths: how to work out what you actually don't know, how to use past papers properly, and a weekly structure that works.
A-Level · 6 min read
How A-Level Maths grade boundaries are set, why they change every year, and what that means for how you should interpret past paper scores.
A-Level · 7 min read
Why the second year of A-Level Maths feels harder than the first, which Year 12 topics come back with interest, and how to prepare over the summer.
GCSE · 8 min read
A teacher's breakdown of what separates a grade 7 from a grade 9 in GCSE Maths, the topics that decide the top band, and how to practise for the hardest questions.
For parents · 7 min read
The difference between Foundation and Higher tier GCSE Maths, the grades available on each, and how to make the decision without guessing.
A-Level · 6 min read
What the large data set is, what A-Level Maths exam questions actually ask about it, and how to prepare without memorising thousands of numbers.
For parents · 6 min read
Practical support for parents of Year 11 students: how to help with maths revision when you cannot do the maths yourself, and what not to do.
A-Level · 8 min read
A clear introduction to A-Level Maths mechanics: modelling assumptions, drawing force diagrams, resolving forces and the habits that earn the early marks.
A-Level · 7 min read
What actually changes between GCSE and A-Level Maths, why strong GCSE students struggle in the first term of Year 12, and how to prepare before September.
For parents · 6 min read
An honest comparison of online and in-person maths tutoring — how lessons differ in practice, what each suits, and the questions to ask before booking.
GCSE · 7 min read
Factorising, the quadratic formula and completing the square explained, with a simple rule for choosing the right method in a GCSE or A-Level exam.
A-Level · 7 min read
What to do over the summer before A-Level Maths starts: the GCSE skills the course assumes, and a realistic two-week preparation plan.
GCSE · 7 min read
How to tell which trigonometry rule a GCSE question needs, how to avoid the common ambiguous-case error, and the exact values you must memorise.
A-Level · 6 min read
The real reasons A-Level Maths feels so much harder than GCSE, which of them are fixable, and what to do first if you are falling behind in Year 12 or 13.
For parents · 6 min read
How frequently maths tutoring should happen, how long it takes to see progress, and when weekly lessons should be increased or stopped.
Revision · 6 min read
Practical advice for students who find maths frustrating: how to start sessions, how long to work, and how to build enough confidence to keep going.
Revision · 6 min read
Which formulas are given in the exam, which you must know from memory, and a tested method for learning them so they survive under exam pressure.
Revision · 6 min read
A realistic answer on revision hours for A-Level Maths, why four focused hours beat ten unfocused ones, and a weekly structure for Year 12 and Year 13.
Revision · 6 min read
A triage plan for the last week before a maths exam: what to prioritise, what to abandon, and the day-by-day structure that recovers the most marks.
GCSE · 7 min read
Clear next steps after a grade 3 or below in GCSE Maths: resit rules, November and summer options, and how to actually change the result second time.
GCSE · 6 min read
Practical tips for passing a GCSE Maths resit: which topics carry the most Foundation marks, how to use past papers, and what to change from last time.
GCSE · 7 min read
The specific topics and habits that move a GCSE Maths student from grade 5 to grade 7, and why more practice on what you can already do won't do it.
For parents · 6 min read
Practical ways parents can support maths progress at home — what to say, what to avoid, and how to help even if you found maths difficult yourself.
For parents · 7 min read
How to tell whether a child is genuinely behind in maths rather than just finding it hard, the nine warning signs teachers look for, and what to do next.
For parents · 7 min read
An honest comparison of online and in-person maths tutoring: what changes, what doesn't, which students suit which, and what to look for in an online setup.
For parents · 7 min read
The questions to ask before hiring a maths tutor — qualifications, safeguarding, teaching method and reporting — and the answers that should concern you.
For parents · 6 min read
What drives maths tutoring prices in the UK, how online and in-person rates differ, how many sessions are typically needed, and how to judge value.
A-Level · 7 min read
Why integration feels harder than differentiation, a decision process for choosing the right technique, and the practice routine that makes it reliable.
A-Level · 6 min read
The non-mathematical marks students lose in A-Level Maths — command words, working, accuracy and timing — and how to recover them before the exam.
Revision · 7 min read
What a poor maths mock actually tells you, how to analyse the paper properly, and a realistic recovery plan for the months between mocks and the real exam.
A-Level · 7 min read
Who Further Maths is genuinely worth taking for, which university courses value or require it, and the honest risks of adding it to your A-Level choices.
A-Level · 6 min read
Whether A-Level Maths is required for engineering degrees, how Further Maths and Physics fit in, and what the maths in an engineering degree is actually like.
For parents · 7 min read
How maths anxiety differs from finding maths hard, the signs parents can spot at home, and evidence-informed approaches that reduce it over a term.
What's coming
Published roughly fortnightly, timed around the school year — new Year 12s in September, mocks in January, revision season in spring.
How to use the A-Level Maths formula booklet in the exam
Year 12 and 13 students · Informational, exam-technique long-tail
September 2026
Solving A-Level mechanics problems with SUVAT
Year 12 students meeting mechanics · Informational, mechanics long-tail
September 2026
AQA A-Level Maths: what makes it different from Edexcel
Students and parents choosing exam boards · Comparison, long-tail
October 2026
Fixing the algebra gap: why Year 10 struggles start in Year 7
Parents and GCSE students · Informational, links to the diagnosis method
October 2026
A term-by-term A-Level Maths revision timeline for Year 13
Year 13 students · Informational, seasonal for mock season
November 2026
How to prepare for GCSE Maths mocks in four weeks
Year 11 students and their parents · Seasonal, high urgency
November 2026
Understanding A-Level Maths grade boundaries
Students and parents interpreting results · Informational, long-tail
December 2026
Choosing between Higher and Foundation tier GCSE Maths
Parents of Year 10 and 11 students · Decision-stage informational
January 2027
No pressure and no sales call — just an honest conversation about whether I can help, and how.