IBYear 13Maths · Free with answer key

Math Worksheets – IB Year 13

Free IB Year 13 Maths practice worksheets with real exam-style questions and full answer keys. This set has 9 printable papers covering Vectors, Sequences and Series, Differentiation and Applications, Integration and 5 more. Work through them to build speed and accuracy, then check your answers against the key on each page. Stuck on any step? The Doubt Solver works out the full method for you.

Worksheets in this set

Sample problems MCQ

Real questions taken from the worksheets above, with answers from the published answer key.

Q1.What is the magnitude of the vector (3, 4)?

  1. (a) 5
  2. (b) 7
  3. (c) 12
  4. (d) 1

Answer: (a) 5

From: Vectors

Q1.What is the 5th term of the arithmetic sequence 3, 7, 11, ...?

  1. (a) 19
  2. (b) 23
  3. (c) 15
  4. (d) 21

Answer: (a) 19

From: Sequences and Series

Q1.What is dy/dx if y = sin x?

  1. (a) cos x
  2. (b) −cos x
  3. (c) −sin x
  4. (d) tan x

Answer: (a) cos x

From: Differentiation and Applications

Q1.What is ∫ x dx?

  1. (a) x² ÷ 2 + c
  2. (b) x + c
  3. (c) x² + c
  4. (d) 1 + c

Answer: (a) x² ÷ 2 + c

From: Integration

Q1.What is i²?

  1. (a) 1
  2. (b) −1
  3. (c) i
  4. (d) −i

Answer: (b) −1

From: Complex Numbers

Common mistakes to avoid

  • Forgetting the constant of integration or the domain restrictions after integrating
  • Applying a statistical test without checking the conditions for validity
  • Writing final answers without units where the quantity is dimensional (e.g. probability vs. number of outcomes)

Frequently asked questions

Are the IB Year 13 Maths worksheets free?

Yes - every Mohsim Digital Education worksheet is free to download with a full answer key.

How do I get a full step-by-step solution?

Run the question through the Doubt Solver on this site to get a clear worked solution instantly.

Do these match the IB DP syllabus?

The worksheets follow the structure and notation used in the IB Diploma mathematics course at Year 13.

Stuck on a problem?

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