Subjects

The best resource for IB Mathematics just got better!

Now available: IB Maths, Physics, Chemistry, Biology, ESS, Business Management, Economics, Psychology, and English!

Voted #1 IB Mathematics Resource by IB Teachers & Students

IB Psychology

IB Economics

IB Business Management

IB Environmental Systems and Societies

Practice IB Exam Style Questions

Thousands of exam style questions, filtered by topic, sub-topic & difficulty. Detailed and easy to understand mark-schemes and video solutions for all questions. Practice & master IB exam style questions.

Try Me!

Question 1

no calculator

easy

[Maximum mark: 6]

Consider an arithmetic sequence 2,6,10,14,2,6,10,14,\dots

  1. Find the common difference, dd. [2]

  2. Find the 1010th term in the sequence. [2]

  3. Find the sum of the first 1010 terms in the sequence. [2]

easy

Formula Booklet

Mark Scheme

Video (a)

Video (b)

Video (c)

Check with RV Newton

Formula Booklet

Mark Scheme

Solutions

Ask Newton

Question 2

calculator

easy

[Maximum mark: 6]

The table shows the first four terms of three sequences: unu_n, vnv_n, and wnw_n.

c39694c1cf7513ffce115791e6b0f1c54c230963.svg

  1. State which sequence is

    1. arithmetic;

    2. geometric. [2]

  2. Find the sum of the first 5050 terms of the arithmetic sequence. [2]

  3. Find the exact value of the 1313th term of the geometric sequence. [2]

easy

Formula Booklet

Mark Scheme

Video (a)

Video (b)

Video (c)

Check with RV Newton

Formula Booklet

Mark Scheme

Solutions

Ask Newton

Question 3

calculator

hard

[Maximum mark: 7]

  1. Write down the quadratic expression 3x2+5x23x^2 + 5x - 2 in the form (axb)(x+c)(ax-b)(x+c).[2]

  2. Hence, or otherwise, find the coefficient of the term in x9x^9 in the expansion
    of (3x2+5x2)5(3x^2+5x-2)^5. [5]

hard

Formula Booklet

Mark Scheme

Video (a)

Video (b)

Check with RV Newton

Formula Booklet

Mark Scheme

Solutions

Ask Newton