IB Maths AA Paper 1 Without a Calculator: Skills, Strategy and Practice

In Analysis and Approaches, Paper 1 allows no calculator of any kind. It is worth 40% at SL (90 minutes, 80 marks) and 30% at HL (120 minutes, 110 marks). For students used to reaching for a calculator since middle school, it is often the paper that decides the final grade.

The structure

• Section A: short-response questions.
• Section B: extended-response questions, usually with several linked parts.

Both sections test the whole syllabus. The questions are designed so that the arithmetic is manageable by hand – if a calculation becomes ugly, it is a sign that something earlier has gone wrong.

The hand skills Paper 1 demands

• Fractions, surds and indices – simplifying quickly and accurately.
• Logarithm laws and solving exponential equations exactly.
• Exact trig values from the unit circle, in every quadrant.
• Factorising and solving quadratics, including with surds.
• Differentiation and integration by hand, including chain, product and quotient rules.
• Sketching graphs with key features without a GDC.
• Exact answers: leave answers as 3√2, ln 5 or π/3 unless told otherwise.

A timing strategy

• Read through quickly at the start and note easy questions.
• Section A first, but don't get stuck: if a question takes more than its share of time (roughly a minute per mark as a guide), move on and come back.
• Leave real time for Section B – its later parts carry many marks and often use earlier results ("hence").
• Show working always. Method marks can be earned even if the final answer is wrong.

The arithmetic traps

1. Sign errors when expanding brackets or subtracting fractions.
2. Surd simplification – √50 = 5√2, not 25√2.
3. Log laws misused – ln(a + b) is not ln a + ln b.
4. Exact vs decimal – a decimal answer where an exact one is required can lose the mark.
5. Rushing "easy" parts and carrying an error through a Section B question.

A daily practice routine

• 10–15 minutes a day, no calculator: a mix of fractions, surds, logs, trig values, and a derivative or integral.
• Twice a week: one Section B question, timed, with the markscheme.
• Every two weeks in Year 2: a full Paper 1 under exam timing.
• Keep an error log of arithmetic slips – they repeat until noticed.

Students who follow this for six to eight weeks usually find Paper 1 stops being the paper they fear.

How Maths Bodhi helps with Paper 1

• A no-calculator diagnostic: which hand skills are secure and which are not.
• Short daily drills set between sessions.
• Section B walkthroughs – reading the structure and spotting "hence".
• Timed papers marked against the markscheme, with M and A marks explained.

Ajay Vatsyayan (M.Tech, 14+ years teaching maths) teaches IB DP maths at Maths Bodhi and has taught students from schools across Gurgaon, including The Shri Ram School (Moulsari), Kunskapsskolan, DPS International and Suncity School. Maths Bodhi is independent and not affiliated with any school. Read Ajay's profile, or see our AA SL, AA HL and IB DP maths revision pages.

Home sessions across Gurgaon – including Golf Course Road and Sector 54 – or online. Book a free demo class.

Related: GDC skills for Paper 2, AA trigonometry, HL Paper 3 and the IB DP maths guide for Gurgaon families.

Paper structure verified against the current IB AA guide by the Maths Bodhi team (October 2026). Strategy reviewed by Ajay Vatsyayan.