Free IB Maths AA SL baseline test: start of DP1

Find out where a student is starting from at the start of DP1. 20 multiple-choice questions on the GCSE / MYP maths an AA SL course builds on: number, algebra, graphs, geometry and trigonometry, statistics and probability, 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 DP1 of IB Maths AA SL. It covers the GCSE / MYP maths an AA SL course builds on: number, algebra, graphs, geometry and trigonometry, statistics and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Order of operations
Dividing fractions
Sharing in a ratio
Standard form
Laws of indices
Expanding brackets
Factorising quadratics
Linear equations
Linear inequalities
Rearranging formulae
Substituting into formulae
Gradient of a line
Equation of a straight line
Volume of a cylinder
Pythagoras' theorem
Right-angled trigonometry
Mean from a frequency table
Probability without replacement
Rationalising the denominator
Simultaneous equations

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 · Linear equations

Solve $7 x - 3 = 3 x + 13$ .

$x = \frac{5}{2}$
$x = \frac{8}{5}$
$x = 4$
$x = \frac{1}{4}$

Show the answer and working

Answer: C

Collect the $x$ terms on one side and the numbers on the other: $x = 4$ .

A is what you get if you moved a number across without changing its sign. B is what you get if you moved an x-term across without changing its sign. D is what you get if you divided the wrong way round.

Sample 2 · Gradient of a line

What is the gradient of the straight line through $(1, 4)$ and $(5, - 8)$ ?

$- \frac{1}{3}$
$- 3$
$- \frac{2}{3}$
$3$

Show the answer and working

Answer: B

$m = \frac{- 8 - (4)}{5 - (1)} = - 3$ .

A is what you get if you divided the change in x by the change in y. C is what you get if you added the coordinates instead of subtracting. D is what you get if you subtracted in opposite orders on the top and bottom.

What the report looks like

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

Score 13 / 20 (65%)

Order of operationsGap
Dividing fractionsGap
Sharing in a ratioDeveloping
Standard formDeveloping
Laws of indicesSecure
Expanding bracketsSecure

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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