IB Mathematics · Analysis and approaches

Exam-grade practice.
Every mark explained.

Original exam-style questions with full IB-style markschemes, written and checked by a practising IB teacher.

Download the free sample See the first pack
28questions in the first pack, Paper 1 and Paper 2 style
219marks, each with an IB-style markscheme
3levels, from routine to grade 7
2calculators covered: TI-Nspire CX II and NumWorks
Cover of the Hence Differential calculus pack for IB Mathematics: analysis and approaches SL
Standard Level · Topic 5

Differential calculus.

Four papers' worth of practice on differentiation: limits and rates of change, tangents and normals, the chain, product and quotient rules, stationary points, concavity, optimisation and kinematics.

  • 28 original questions, sized like real Paper 1 and Paper 2 sections
  • Full markscheme in IB conventions: M1, A1, R1, AG, FT, with alternative methods
  • Calculator key sequences for TI-Nspire CX II and NumWorks
  • Student edition with answer spaces and final answers
  • Editable teacher edition (Word), ready to adapt for your classes
Student
€12
PDF with answer spaces and final answers
Teacher
€29
PDF and Word, full markscheme, use with your own classes
Department
€249
Every pack, for all teachers in one school
Try six questions free

On sale from December 2026. The free sample is available now.

Built like the real thing.

Every question follows the structure, command terms and mark allocation of recent official papers.

Student page with a graph of the derivative and answer lines
Clear student pagesCommand terms, mark allocations and answer spaces, as on the day.
Teacher page with the markscheme for each part
Every mark explainedMethod, accuracy and reasoning marks, with notes on what does and does not earn credit.
Teacher page with calculator instructions for TI-Nspire and NumWorks
Two calculatorsExact key sequences for the TI-Nspire CX II and the NumWorks on every Paper 2 question.

Checked twice. Then checked again.

A single wrong mark costs a teacher's trust. So nothing ships until it has passed three independent checks.

01

Solved twice

Each question is solved once when it is written, and again independently by a reviewer who never sees the markscheme. Any difference stops the question.

02

Recomputed by code

Every numerical answer, every root and every maximum is recomputed by software. Graphs are plotted from their functions, never drawn by hand.

03

Original by design

No past-paper question, no textbook exercise, no disguised copy. Each question starts from a syllabus point and an invented context, and its origin is recorded.

Read our method

Six questions.
Free.

Judge for yourself: a free sample of six questions from the Differential calculus pack, with the complete teacher markscheme.

Teacher edition (PDF) Student edition (PDF)

No sign-up. No email. Just the PDF.

Cover of the free sample
Cover of the free guide Differential calculus on your GDC A page of the guide: the same steps on the NumWorks and on the TI-Nspire, with the screen to reach
Free guide · Paper 2

Differential calculus on your GDC.

The seven calculator moves Paper 2 asks for, from the gradient at a point to maximum speed. Both calculators side by side, the screen to reach, and what to write before and after.

  • TI-Nspire CX II and NumWorks, at every step
  • Three exam-style questions, fully worked
  • What earns the marks on paper, and the classic traps
Download the guide (PDF)

Free to copy and share with your students, unchanged and in full.