Free TAGE MAGE practice:
six exercises with worked solutions

This free mini-test offers six exercises with worked solutions, one for each TAGE MAGE subtest, available here without an account. This short introduction explains the reasoning involved; it does not reproduce an official test or calculate a TAGE MAGE score.

Article · 5 min read · 3 sources FNEGE · verified on October 15, 2026 · free, no account needed

Get a sheet of paper and look for supporting evidence

For each question, write down your choice and a sentence explaining why you selected it. Read the explanation only after you have worked through the problem. You can work without a timer: the goal is to understand differences between instructions, not measure your speed on such a short sample.

The official test has 90 questions across six subtests of 15 questions each. The exercises below are intentionally short instructional practice; in particular, the reading passage and logic exercise simplify how the underlying task works. They are not a representative practice test.

Understand a text, calculate, and evaluate an argument

Three questions to distinguish what is stated, what must be calculated, and what can actually be concluded. Only one choice is correct in each exercise.

1. Reading comprehension

Written by Upsilar

Une bibliothèque a prolongé son ouverture le mercredi. Le nombre de visites ce jour-là a augmenté. Le rapport précise toutefois que la fréquentation totale de la semaine est restée stable : certains usagers ont déplacé leur visite habituelle. Quelle synthèse respecte le texte ?

Choose an answer.

Choose an answer.

The solution, step by step

B. Wednesday attracts more visits without increasing the weekly total.

The method in action

  1. The passage distinguishes one day of the week from the weekly total. Choice B preserves both pieces of information.
  2. A contradicts the stable total. C generalizes to all users. D invents a decision. E denies the shift in visits described by the passage.

2. Quantitative reasoning

Written by Upsilar

Un sac coûte 80 €. Son prix baisse de 25 %, puis le nouveau prix augmente de 10 %. Quel est le prix final ?

Choose an answer.

Choose an answer.

The solution, step by step

C. 66 €.

The method in action

  1. After the decrease, 75% of €80 remains, or €60. The subsequent increase applies to €60, adding €6.
  2. The final price is therefore €60 + €6 = €66. Simply adding −25% and +10% (for a net −15%, or €68) would ignore that the two rates use different bases.

3. Reasoning and argumentation

Written by Upsilar

Une entreprise observe que les salariés participant à un atelier facultatif livrent davantage de dossiers. Elle conclut que l’atelier augmente la productivité. Quelle information fragilise le plus cette conclusion ?

Choose an answer.

Choose an answer.

The solution, step by step

C. Participants were already producing more before the workshop.

The method in action

  1. This information offers another explanation for the observed difference: the groups already differed before participating.
  2. It does not prove that the workshop is useless. It shows that a simple comparison after the workshop is not enough to establish its effect. The other choices do not explain the productivity gap.

Assess the information, correct a sentence, and apply two criteria

The Conditions minimales (Data Sufficiency) subtest asks whether there is enough information to answer; the Verbal Expression question here asks about agreement; Logic asks you to find the intersection of two categories. Read the task before solving it.

4. Data Sufficiency (Conditions minimales)

Written by Upsilar

Un rectangle a une largeur de 4 cm. Peut-on déterminer son aire ? Information (1) : son périmètre vaut 20 cm. Information (2) : sa longueur vaut 6 cm. Jugez chaque information séparément, en conservant la largeur donnée.

Choose an answer.

Choose an answer.

The solution, step by step

D. Each statement is sufficient on its own.

The method in action

  1. With (1), 2 × (length + 4) = 20 gives a length of 6 cm and therefore a determinate area.
  2. With (2), both length and width are known immediately. Each piece of information is sufficient on its own. The question asks whether the information is sufficient, not just for the area of 24 cm² to be calculated.

5. Verbal expression

Written by Upsilar

Quelle phrase respecte l’accord du participe passé ?

Choose an answer.

Choose an answer.

The solution, step by step

D. “Les propositions que Lina a formulées sont claires.”

The method in action

  1. With the auxiliary avoir, the past participle agrees with the direct object when it appears before the verb.
  2. “Que” refers to “les propositions,” feminine plural, and comes before “a formulées.” The subject Lina does not determine this agreement. “Formuler” is an infinitive, not the required past participle.

6. Logic

Written by Upsilar

Exercice d’initiation : les deux critères sont donnés. Un nombre doit être à la fois un multiple de 3 et le carré d’un entier. Quel choix satisfait les deux critères ?

Choose an answer.

Choose an answer.

The solution, step by step

A. 9.

The method in action

  1. 9 = 3 × 3, so it belongs to both categories. 15 is a multiple of 3 but not a square; 16 and 49 are squares but not multiples of 3; 22 meets neither criterion.
  2. The skill practiced here is finding an intersection: meeting only one criterion is not enough. In a more complete category problem, you first have to discover the criteria from the information provided.

The pitfall

Do not convert these answers into a score out of 600

Six short exercises do not reproduce the difficulty, duration, or variety of a full session. No formula can convert your number of correct answers here into an official score. Even six correct answers do not demonstrate mastery of all six subtests.

A guessed answer and a reasoned answer may have the same letter but suggest different next steps. Review your explanations rather than focusing on a total.

Choose a challenge and open its guide

If your reading response was too broad, practice distinguishing explicit information from your own additions. If you got stuck on the calculation, review the changing bases in successive percentage calculations. If you thought both facts about the rectangle were needed, try again while hiding each one in turn.

The six guides below explain the format and method and provide a step-by-step example for each subtest. Choose the one that matches your most specific challenge, then try to explain a new question without rereading this solution.

Key takeaways

  • All six exercises and their explanations are available on this page.
  • Explain your choice; it is more instructive than a total number of correct answers.
  • Use the guides to learn more, but do not interpret this mini-test as an official score.
Related reading

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