Four years of INVALSI grade-10 mathematics papers, each with a separate online quiz. Choose a year and open the booklet and marking guide to compare your work with the full paper.
Papers and quizzes by year
- 2012–13 — Take the quiz · Test booklet (PDF) · Marking guide (PDF)
- 2013–14 — Take the quiz · Test booklet (PDF) · Marking guide (PDF)
- 2014–15 — Take the quiz · Test booklet (PDF) · Marking guide (PDF)
- 2016–17 — Take the quiz · Test booklet (PDF) · Marking guide (PDF)
Each quiz contains an adapted selection of self-contained questions: questions and answers are shuffled, and the feedback explains each solution. Use the booklet for the complete test. The 2013–14, 2014–15 and 2016–17 PDFs are archived copies of INVALSI documents hosted by an external website, not by invalsi.it.
A closer look at the 2012–13 paper
The source is INVALSI, Mathematics test for the second year of upper secondary school, academic year 2012–2013, Booklet 1. The official booklet contains 32 questions. This page offers an adapted selection of 17 self-contained questions: their wording has been revised for an online quiz, leaving out questions that depend on the original diagrams. It is neither the full paper nor an official mock test.
How it works
Both the 17 questions and their answer choices are shuffled. A correct answer earns 1 point; an incorrect or blank answer earns 0. After submission, every question has a worked explanation. The D number at its start identifies the corresponding item in the official booklet, although the online wording is adapted.
Three examples of reasoning
Percentages and areas. If a square’s side grows by 20%, its length is multiplied by 1.2. Area depends on the square of the side: 1.2² = 1.44. The increase is 44%, not 20%.
Average speed. Two 120 km legs at 60 and 120 km/h take 2 and 1 hours respectively. Average speed is total distance divided by total time: 240/3 = 80 km/h.
Sampling estimate. If 12 marked fish appear among 720 caught later, the marked fraction is 12/720 = 1/60. If 200 fish were initially marked, the estimated population is 200 × 60 = 12,000. This estimate assumes the sample is representative.
To attempt questions with charts, diagrams or open responses, use the original booklet. This online version is for practice and feedback; it does not replace the official INVALSI test.