IB Maths tutoring, SL and HL.

Which course, and which level

Diploma Programme mathematics is taught as Analysis and Approaches (AA) and Applications and Interpretation (AI), each at Standard Level and Higher Level. Archie tutors all four, at the same price.

AA: Analysis and Approaches

In the IB’s words, AA “has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments”. Paper 1 is sat with no technology; Paper 2 allows it.

AI: Applications and Interpretation

AI “emphasizes the meaning of mathematics in context”, with more statistics and modelling. “All external assessments involve the use of technology.”

Standard Level

Two papers of 1 hour 30 minutes, 40% each, plus the exploration at 20%. 150 recommended teaching hours.

Higher Level

Two papers of 2 hours, 30% each, a 1-hour Paper 3 at 20%, plus the exploration at 20%. 240 recommended teaching hours.

Taken from the IB’s Diploma Programme subject briefs for Analysis and approaches and Applications and interpretation (first assessments 2021), and the briefs marked first assessment 2029. Checked on 11 October 2026 against archived copies. Cognivia Tutoring is not affiliated with or endorsed by the IB.

The mathematical exploration

The assessment criteria and mark allocations for the exploration are set by the IB and should be read in the version of the subject guide your child’s school is teaching. They are not reproduced here, for the same reason the syllabus is not: they change, and a tutoring page is the wrong place to look them up.

How Cognivia can help with an exploration

Written feedback on an exploration is a separate service from lessons, priced by word count, with detailed written comments returned within 5 days in every case:

• Up to 750 words — £50, written comments only.
• Up to 1,500 words — £100, including a 30-minute call to go through the comments.
• Up to 3,000 words — £200, including a 30-minute call.

On the £100 and £200 tiers the call is included in the price, and is booked and paid for in the same booking, at least 5 days ahead.

The full terms, tiers and ordering process are on the coursework feedback page.

Who you would be working with

Lessons are with Archie Dyer, the founder of Cognivia Tutoring and its only tutor. He sat the Diploma himself, which is the short answer to why this page exists.

• 43 out of 45 in the IB, with 7s in HL Maths, Physics and Economics.
• 10 A*s at IGCSE.
• Second-year Theoretical Physics student at UCL, after a First in his first year.
• Tutoring for over two years. Enhanced DBS checked.

Those three HL 7s cover Maths, Physics and Economics, so a student taking more than one of them does not need more than one tutor. Chemistry is covered as well, at SL and HL.

What he will not do is promise a grade. The IB is marked by the IB, and no tutor sits in that room.

How he teaches. In Archie’s words: “I find where the understanding actually breaks down, which is usually two or three topics further back than where the marks were lost, and we rebuild from there. I keep lessons relaxed. I would far rather a student asked me something they think is obvious than sat quietly and nodded.” The free 30-minute trial is the way to judge that for yourself: bring a topic you find difficult. There is more on the About Archie page.

For families at international schools

Students join from the UK and across Europe, so booking from outside London is straightforward:

• Online lessons run on Google Meet. The link is in the booking confirmation email, so there is nothing to install.
• The booking calendar shows times in the visitor’s own time zone, so an eight o’clock slot means eight o’clock where the student is.
• Payment is in pounds sterling, taken by Stripe at booking, by card, Apple Pay or Google Pay.

Families in London can also book in person around Marylebone, for £10 more per lesson. That option is set out on the Marylebone page.

Prices and practical details

The price is the same for SL and HL, and the same for Analysis and Approaches and Applications and Interpretation. Written feedback on an exploration is a separate service, priced by word count on the coursework feedback page.

• 1 hour, 1:1. Every lesson is with Archie, built around one student. There are no group classes.
• Online on Google Meet, or in person around Marylebone, London (+£10). The Meet link is in your confirmation email; times are shown in your own time zone.
• Free 30-minute online trial, no card needed. A relaxed session to meet and see if it clicks.
• 24 hours’ notice to cancel, by email or phone. See the refund policy.
• Payment by Stripe at booking. Card, Apple Pay or Google Pay.

Full prices for every subject and level are on the pricing section of the home page. Parents receive a short note after each lesson on what was covered and what to practise next.