Free IB Maths AI 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 AI HL course builds on: number and finance, algebra, graphs, measurement in 2D and 3D, 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 AI HL. It covers the GCSE / MYP maths an AI HL course builds on: number and finance, algebra, graphs, measurement in 2D and 3D, statistics and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Order of operations
Compound interest
Upper and lower bounds
Standard form
Fractional indices
Factorising quadratics
Linear equations
Linear inequalities
Rearranging formulae
Substituting into formulae
Simultaneous equations
Equation of a straight line
Distance between two points
Volume of a cone
Finding an angle
Pythagoras in 3D
Mean from a frequency table
Independent events
Combined events
Median

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 · Standard form

Work out $(2.5 \times 10^{3}) \times (6 \times 10^{4})$ . Give your answer in standard form.

$1.5 \times 10^{9}$
$1.5 \times 10^{12}$
$1.5 \times 10^{8}$
$1.5 \times 10^{7}$

Show the answer and working

Answer: C

Numbers and powers of 10 separately, then adjust so the first number is between 1 and 10: $1.5 \times 10^{8}$ .

A is what you get if you moved the decimal point the wrong way when adjusting. B is what you get if you multiplied (or added) the powers of 10 wrongly. D is what you get if you adjusted the power of 10 the wrong way.

Sample 2 · Gradient of a line

What is the gradient of the straight line through $(- 1, 2)$ and $(3, 14)$ ?

$\frac{1}{3}$
$8$
$- 3$
$3$

Show the answer and working

Answer: D

$m = \frac{14 - (2)}{3 - (- 1)} = 3$ .

A is what you get if you divided the change in x by the change in y. B is what you get if you added the coordinates instead of subtracting. C 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
Compound interestGap
Upper and lower boundsDeveloping
Standard formDeveloping
Fractional indicesSecure
Factorising quadraticsSecure

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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