Free IB Maths AA HL baseline test: start of DP2

Find out where a student is starting from at the start of DP2. 20 multiple-choice questions on the AA HL content usually taught in DP1: series, logarithms, the binomial theorem, complex numbers, polynomials, functions, trigonometry, vectors, probability and 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 AA HL. It covers the AA HL content usually taught in DP1: series, logarithms, the binomial theorem, complex numbers, polynomials, functions, trigonometry, vectors, probability and calculus. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Arithmetic series
Infinite geometric series
Exponential equations
Logarithms
The binomial theorem
Complex numbers
The factor theorem
Quadratic inequalities
The discriminant
Rational functions
Transformations of graphs
Exact values in radians
Solving trigonometric equations
The cosine rule (angles)
Scalar product
Bayes' theorem
Expected value
Tangents
Definite integrals
Stationary points

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 · Geometric sequences

A geometric sequence begins $3, 6, 12, \dots$ . What is its 7th term?

$384$
$21$
$192$
$46656$

Show the answer and working

Answer: C

$u_{7} = a r^{6} = 3 \times 2^{6} = 192$ .

A is what you get if you used rⁿ instead of rⁿ⁻¹. B is what you get if you treated it as arithmetic. D is what you get if you raised a × r to the power.

Sample 2 · Rational functions

What are the vertical and horizontal asymptotes of $y = \frac{3 x - 1}{x + 2}$ ?

$x = 2, y = 3$
$x = - 2, y = 3$
$x = 3, y = - 2$
$x = - 2, y = - \frac{1}{2}$

Show the answer and working

Answer: B

Vertical: the denominator is 0 at $x = - 2$ . Horizontal: $y \to \frac{3}{1} = 3$ as $x \to \pm \infty$ .

A is what you get if you used the wrong sign for the vertical asymptote. C is what you get if you swapped the vertical and horizontal asymptotes. D is what you get if you used the constant terms for the horizontal asymptote.

What the report looks like

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

Score 13 / 20 (65%)

Arithmetic seriesGap
Infinite geometric seriesGap
Exponential equationsDeveloping
LogarithmsDeveloping
The binomial theoremSecure
Complex numbersSecure

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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