Free IB Maths AA HL 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 HL course builds on, with more demanding algebra: 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 HL. It covers the GCSE / MYP maths an AA HL course builds on, with more demanding algebra: 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
Adding fractions
Sharing in a ratio
Standard form
Laws of indices
Expanding brackets
Factorising quadratics
Equations with fractions
Linear inequalities
Rearranging formulae
Substituting into formulae
Midpoint of a line segment
Perpendicular lines
Volume of a sphere
Pythagoras' theorem
Finding an angle
Median
Probability with two dice
Rationalising the denominator
Simultaneous equations (one quadratic)

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 · Expanding brackets

Expand and simplify $(5 x - 1) (2 x + 3)$ .

$10 x^{2} - 3$
$10 x^{2} + 17 x - 3$
$10 x^{2} + 13 x - 3$
$10 x^{2} + 13 x + 2$

Show the answer and working

Answer: C

Multiply every term in the first bracket by every term in the second and collect like terms: $10 x^{2} + 13 x - 3$ .

A is what you get if you multiplied the first terms and the last terms only. B is what you get if you made a sign error in the middle terms. D is what you get if you added the constant terms instead of multiplying.

Sample 2 · Laws of indices

Simplify $(3 x^{- 2})^{2} \times x^{7}$ .

$6 x^{3}$
$9 x^{3}$
$9 x^{7}$
$9 x^{- 28}$

Show the answer and working

Answer: B

$(3 x^{- 2})^{2} = 9 x^{- 4}$ ; multiplying adds the powers: $9 x^{3}$ .

A is what you get if you multiplied the number by the power instead of raising it. C is what you get if you added the powers inside and outside the bracket. D is what you get if you multiplied all the powers together.

What the report looks like

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

Score 13 / 20 (65%)

Order of operationsGap
Adding 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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