Free IB Maths AA 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 AA SL content usually taught in DP1: sequences, exponents and logarithms, the binomial theorem, functions, trigonometry, statistics and 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 AA SL. It covers the AA SL content usually taught in DP1: sequences, exponents and logarithms, the binomial theorem, functions, trigonometry, statistics and probability, and introductory calculus. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Arithmetic sequences
Geometric series
Logarithms
Exponential equations
Binomial coefficients
Perpendicular lines
The discriminant
Solving quadratics
Transformations of graphs
Composite functions
Inverse functions
The cosine rule
Arc length
Solving trigonometric equations
Standard deviation
Conditional probability
Differentiating polynomials
Tangents
Stationary points
Definite integrals

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 series

Find the sum of the first 15 terms of the arithmetic series $4 + 10 + 16 + \dots$ .

$735$
$1380$
$1320$
$690$

Show the answer and working

Answer: D

$S_{15} = \frac{15}{2} (2 \times 4 + 14 \times 6) = 690$ .

A is what you get if you used n instead of n − 1. B is what you get if you forgot to halve. C is what you get if you multiplied the last term by n.

Sample 2 · Composite functions

$f (x) = x^{2} - 2$ and $g (x) = 3 x + 1$ . Find $f g (1)$ .

$14$
$- 2$
$- 4$
$3$

Show the answer and working

Answer: A

Inside first: $g (1) = 4$ , then $f (4) = 14$ .

B is what you get if you worked out g(f(x)): the wrong order. C is what you get if you multiplied f(a) by g(a). D is what you get if you added f(a) and g(a).

What the report looks like

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

Score 13 / 20 (65%)

Arithmetic sequencesGap
Geometric seriesGap
LogarithmsDeveloping
Exponential equationsDeveloping
Binomial coefficientsSecure
Perpendicular linesSecure

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.

Other free baseline tests

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