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## 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.

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##### Question 1

no calculator

easy

[Maximum mark: 6]

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

1. Find the common difference, $d$. 

2. Find the $10$th term in the sequence. 

3. Find the sum of the first $10$ terms in the sequence. 

easy

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##### Question 2

calculator

easy

[Maximum mark: 6]

The table shows the first four terms of three sequences: $u_n$, $v_n$, and $w_n$. 1. State which sequence is

1. arithmetic;

2. geometric. 

2. Find the sum of the first $50$ terms of the arithmetic sequence. 

3. Find the exact value of the $13$th term of the geometric sequence. 

easy

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##### Question 3

calculator

hard

[Maximum mark: 7]

1. Write down the quadratic expression $3x^2 + 5x - 2$ in the form $(ax-b)(x+c)$.

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

hard

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