Free IB Maths AI SL baseline test: start of DP2

Find out where a student is starting from at the start of DP2. 20 multiple-choice questions on the AI SL content usually taught in DP1: number and finance, sequences, linear, quadratic and exponential models, trigonometry, statistics, probability and introductory calculus, marked instantly, with a report that shows which topics are secure and which need work.

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What it covers

The test is written for the start of DP2 of IB Maths AI SL. It covers the AI SL content usually taught in DP1: number and finance, sequences, linear, quadratic and exponential models, trigonometry, statistics, probability and introductory calculus. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Standard form
Percentage error
Arithmetic sequences
Geometric series
Compound interest
Systems of equations
Straight-line models
Quadratic models
Exponential decay
Exponential growth
Volume of a cone
Angle of elevation
The sine rule
Area of a triangle
Interquartile range
Using a regression line
Conditional probability
Expected value
Differentiation
Optimisation

How it works

20 questions, four options each, one mark per question, about 40 minutes. Calculator allowed.
Online or on paper, alone or with a class: how the baseline tests work, and the questions students and teachers ask.

Two sample questions

These are like the questions in the test, with different numbers. They are not in the test itself.

Sample 1 · Arithmetic sequences

An arithmetic sequence begins $12, 17, 22, 27, \dots$ . What is its 30th term?

$162$
$150$
$157$
$365$

Show the answer and working

Answer: C

$u_{30} = u_{1} + (30 - 1) d = 12 + 29 \times 5 = 157$ .

A is what you get if you used n instead of n − 1. B is what you get if you left out the first term. D is what you get if you multiplied the first term by n.

Sample 2 · Area of a triangle

Triangle $P Q R$ has $P Q = 10$ cm, $P R = 13$ cm and angle $P = 55^{\circ}$ . What is its area, to 3 significant figures?

$53.2 cm^2$
$106 cm^2$
$37.3 cm^2$
$65.0 cm^2$

Show the answer and working

Answer: A

$\frac{1}{2} a b \sin C = \frac{1}{2} (10) (13) \sin 55^{\circ} = 53.2$ cm².

B is what you get if you forgot the ½. C is what you get if you used cos instead of sin. D is what you get if you left out sin C.

What the report looks like

Example report (made-up results for one student):

Score 13 / 20 (65%)

Standard formGap
Percentage errorGap
Arithmetic sequencesDeveloping
Geometric seriesDeveloping
Compound interestSecure
Systems of equationsSecure

Questions students and teachers ask

How long does it take?

20 multiple-choice questions, about 40 minutes. A calculator is allowed. A teacher can set it as a timed test.

What does the result show?

The score, a topic-by-topic report with the weakest topics first, the common mistake behind each wrong answer, and links to practise each weak topic. It shows where a student is starting from; it is not a grade prediction.

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