Free IB Maths AI 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 AI HL content usually taught in DP1: finance, complex numbers, matrices, models, 3D geometry, vectors, statistics, probability distributions 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 AI HL. It covers the AI HL content usually taught in DP1: finance, complex numbers, matrices, models, 3D geometry, vectors, statistics, probability distributions and calculus. Each question is tagged with the topic it tests, so the report maps straight onto the course:

How it works

Two sample questions

These are like the questions in the test, with different numbers. They are not in the test itself.

Sample 1 · Straight-line models

What is the equation of the straight line through \((1, 5)\) and \((4, 11)\)?

  1. \(y = 2x + 3\)
  2. \(y = 2x + 7\)
  3. \(y = \frac{1}{2}x + 3\)
  4. \(y = -2x + 7\)
Show the answer and working

Answer: A

Gradient \(2\); substitute a point to find \(c = 3\): \(y = 2x + 3\).

B is what you get if you made a sign error finding c. C is what you get if you found the gradient upside down. D is what you get if you made a sign error in the gradient.

Sample 2 · Determinant of a matrix

\(\mathbf{M} = \begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix}\). What is \(\det \mathbf{M}\)?

  1. \(10\)
  2. \(14\)
  3. \(-14\)
  4. \(6\)
Show the answer and working

Answer: B

\(3 \times 4 - 2 \times (-1) = 14\).

A is what you get if you subtracted 2 instead of adding. C is what you get if you worked out bc − ad. D is what you get if you added the diagonals.

What the report looks like

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

Score 13 / 20 (65%)

Each weak topic links to practice on that topic, and each wrong answer names the common mistake it comes from (for example “moved a number across without changing its sign”).

Questions students and teachers ask

Is the baseline test free?

Yes. The test, the result and the topic report are free. Sign in with a free account (Google, Microsoft or email) so your result is saved; there is no payment and no card. Teachers use it free with a class too: printable papers, answer sheets and the class report come with a free teacher account.

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.

Can it be done on paper?

Yes. A teacher prints the question paper and a one-page answer sheet. Students fill in one bubble per question; a photo of the sheet is read for you. The bubbles are read twice (on the device and with AI), and any question where the readings disagree is shown on screen to check. Everyone can also answer online by clicking A, B, C or D.

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.

Can a student take it more than once?

Each student takes each test once (and once for each class it is set for), so the result stays a fair starting point. Teachers release class results when everyone has finished.

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