| Higher level | 40 marks · 45 minutes · 6 pages | Download the HL test (PDF) |
| Standard level | 35 marks · 40 minutes · 6 pages | Download the SL test (PDF) |
PDF · version 1.0 · SL 4.1 to 4.11; HL also AHL 4.12 to 4.17
What the test asks
- Sampling, quartiles and outliers
- Correlation and regression, with validity
- Conditional probability from a table
- Normal and binomial distributions
- Chi-squared test (SL); HL: Poisson, confidence intervals or Spearman
How to use it
Sit it in one go, with a timer and the formula booklet, after you have revised the topic and before you start past papers on it. The questions move from routine to demanding, the way a real paper does.
Mark it the same day. The parts where you lost marks are the subtopics to go back to; the practice questions on this site are sorted by subtopic for exactly that.
How it is checked
Every question is new. Every answer is worked out twice, the second time blind by a reader who does not see the mark scheme. Written with the help of AI tools and checked by hand.
Version 1.0, 28 October 2026. Found a mistake? Write to pietro@pietromeloni.com: it gets fixed in the next version.
Frequently asked questions
How long does it take?
+
Higher level: 40 marks in 45 minutes; Standard level: 35 marks in 40 minutes. The pace is the one of the real papers, so the time is part of the test.
Which syllabus does it follow?
+
IB Mathematics: Applications and Interpretation, current syllabus: SL 4.1 to 4.11; HL also AHL 4.12 to 4.17. The HL version adds the questions on the HL-only content; the SL version has one question of its own instead.
How do I get the mark scheme?
+
The test downloads directly from this page. The mark scheme comes by email with The Daily 7, one exam question every weekday, which you can leave with one click.
Is it an official IB test?
+
No. Every question is original, written by Pietro Meloni in the style of the current papers. It is not IB material and not endorsed by the International Baccalaureate Organization.