What does Tage Mage Calculation assess?
The section assumes only basic arithmetic, geometry, and algebra at the French ninth-grade level, according to FNEGE. Most questions are written in everyday language.
FNEGE assesses two skills: first, mastering this basic knowledge; second—and more importantly, in its view—expressing an everyday-language problem mathematically. Calculation therefore tests setting up equations at least as much as performing calculations. The subtests (opens in a new tab)
In the score
Together with Data Sufficiency, Calculation forms the Problem Solving domain: 30 questions, scored out of 60. The score out of 600 is the average of the three domains multiplied by ten. Understand your score (opens in a new tab)
The score calculation, in the TAGE MAGE guideWhat do Calculation questions look like?
Fifteen questions, each with five answer options, only one of which is correct: a prompt, a question, and five choices. Overview (opens in a new tab)
Calculators are not allowed, according to FNEGE, and the test booklet serves as scratch paper. You work by hand, which makes estimation especially useful. Advice (opens in a new tab)
- A prompta situation written in everyday language
- A questionthe value to find
- Scratch paperthe test booklet, with no calculator or separate sheet
- Five answer choicesonly one is correct
Calculation or Data Sufficiency?
Calculation
Find the value.
Carry out the calculation, then find the result among the five choices.
Data Sufficiency
Say whether it can be found.
The skill areas are the same, according to FNEGE; the task changes: decide whether the information given is sufficient to determine the answer.
The Data Sufficiency section guideA worked Calculation question
A question written by Upsilar in the section’s format. Choose an answer, then check it: the explanation follows the method below.
Choose an answer.
The solution, step by step
Correct answer: C—0.6 liters of water.
The method in action
- Set up an equation. A 1-to-4 ratio makes 5 parts: 1 of syrup, 4 of water. One part is 3 ÷ 5 = 0.6 liters, so there are 0.6 liters of syrup and 2.4 liters of water.
- Estimate or calculate? The options are close, so an exact calculation is needed—and it is quick. The amount of syrup stays the same; at a 1-to-5 ratio, you need 5 × 0.6 = 3 liters of water. You have 2.4 liters, so you need 0.6 more. Answer C.
- Check your work. 0.6 liters of syrup to 3 liters of water is a 1-to-5 ratio. Going from 4 parts of water to 5 means adding exactly one part: 0.6 liters.
The pitfall
D, 0.75 liters: this divides the amount to add by 3 ÷ 4 instead of 3 ÷ 5. A 1-to-4 ratio has five parts in total: one part syrup and four parts water.
Key takeaways
A ratio of a to b has a + b parts. Reason from the quantity that stays the same.
What method should you use for Calculation?
For each question, use these three steps in order: the method followed in Upsilar’s Calculation curriculum.
Set up an equation from the prompt before calculating.
This is where FNEGE places the main skill: formulating the problem. Name the unknown, write the relationship, and only then calculate.
Choose between estimating and calculating exactly.
Use an estimate to distinguish widely separated choices; close choices call for an exact calculation. Use scratch paper for the latter.
Check the result before marking an answer.
Check units, magnitude, and direction of change. A few seconds can rule out an answer to a different question.
The pitfall to avoid
Calculating too soon. Framing the problem, often with equations, is the main challenge—well before the calculation itself. Starting before setting up the problem often gives you the right value for a different question.
Which Calculation fundamentals should you review first?
Four questions written by Upsilar to identify an area to work on: fractions, percentages, equations, and geometry. This short diagnostic does not measure your overall level or estimate a TAGE MAGE score.
Answer without a calculator and keep your scratch work, then open each explanation. Note what held you up: choosing the relationship, doing the calculation, or checking the result. One mistake is not enough to diagnose a lasting weakness; it points to a skill area to try again with a different exercise.
Choose an answer.
The solution, step by step
Correct answer: C—14.
The method in action
- Use a common denominator. 5/6 = 10/12 and 1/4 = 3/12. Their difference is 7/12.
- Simplify before multiplying. 24 × 7/12 = (24 ÷ 12) × 7 = 14. Another way: 24 × 5/6 − 24 × 1/4 = 20 − 6 = 14.
- Identify what to work on. If subtraction is the issue, review equivalent fractions. If it is correct but multiplication is difficult, practice simplifying factors before multiplying.
The pitfall
Subtracting numerators and denominators separately—(5 − 1)/(6 − 4)—does not calculate 5/6 − 1/4.
Key takeaways
Add or subtract fractions expressed in the same unit; then simplify the product.
To simplify calculations while keeping an exact check, continue with decompositions and simplification in the mental math workshop. TAGE MAGE Mental Math: Choose Reliable Shortcuts Without a Calculator
Choose an answer.
The solution, step by step
Correct answer: D—€180.
The method in action
- Apply the increase. 25% of 160 is 40. The new price is therefore €200.
- Switch the baseline for the discount. The discount applies to €200 and is €20. The amount due is €180. The full calculation is 160 × 1.25 × 0.90.
- Identify what to work on. If you added the percentages, review multiplier factors. If your setup was right but the amounts were not, practice common fractions: 25% is one quarter and 10% is one tenth.
The pitfall
Calculating the discount on €160 even though the prompt applies it to the new price of €200.
Key takeaways
Each percentage applies to a specific base; successive changes can use different bases.
Review successive changes and calculating an original price in the percentages workshop. TAGE MAGE Percentages: Successive Changes, Reverse Rates, and Common Traps
If you confuse a part, its ratio to another part, and its share of the total, review mixtures and ratios before adding percentage changes. TAGE MAGE Proportions and Ratios: Turn Word Problems into Relationships
Choose an answer.
The solution, step by step
Correct answer: C—19 posters.
The method in action
- Translate the pricing. If n is the number of posters, the bill is 18 + 3n. Solve 18 + 3n = 75.
- Isolate the variable cost. After the flat fee, 75 − 18 = €57 remains. Each poster costs €3, so n = 57 ÷ 3 = 19.
- Check the result and choose what to review. 18 + 3 × 19 = 75, which matches the total. If you calculated 75 ÷ 3, the issue is the pricing model, not division.
The pitfall
Treating a bill with a flat fee as a proportional situation: doubling the number of posters does not double the flat fee.
Key takeaways
Separate the fixed part from the part that depends on the unknown before solving.
To compare setting up an equation, substitution, and testing answer choices on one problem, continue with the equations workshop. TAGE MAGE Equations: Model a Problem Without Unnecessary Calculation
Choose an answer.
The solution, step by step
Correct answer: D—63 cm².
The method in action
- Match the base with its height. The 9 cm height is perpendicular to the 14 cm side used as the base. The area is therefore base × height ÷ 2.
- Calculate with the correct unit. 14 × 9 ÷ 2 = 7 × 9 = 63. Multiplying two lengths in centimeters gives an area in square centimeters.
- Identify what to work on. 126 omits the factor of 1/2. 23 adds lengths rather than calculating area, and the three side lengths needed for the perimeter are not given.
The pitfall
Using any side length as the height. The formula requires a height perpendicular to the chosen base.
Key takeaways
Identify the quantity requested before choosing a formula: length, perimeter, area, or volume.
For geometry, draw the base and height, write the formula with units, then substitute the values. Practice another shape in the same family before changing topics. Use this diagnostic to choose your next exercise, not to assign a score to your preparation.
How much time do I have per Calculation question?
Average per question
1 min 20 sec
20 minutes ÷ 15 questions, according to FNEGE figures
An average, not a rule: some problems can be solved at a glance, while others require real calculation. FNEGE advises managing your time and moving on if you cannot answer instead of getting stuck. Advice (opens in a new tab)
Errors and blank answers
No penalty: a wrong answer and a blank answer cost the same. Skipping a question does not mean you have to leave its answer blank. Understand your score (opens in a new tab)
Tage Mage scoring: should you answer every question?What concepts should I review for Calculation?
For a refresher, do not treat this list as a syllabus to cover indiscriminately. Start with your scratch work from the example: was the relationship correct, were the operations sound, did you check the result? What held you up points to what to practice. This is a study aid; it does not predict your test score.
- The relationship is missingRestate what is being asked, name the unknown, and write a relationship without solving it yet. In the example, the key fact is that the amount of syrup stays the same.
- The calculation gets stuckIdentify the operation that slows you down: fractions, multiplication, unit conversion, or equations. Practice it untimed first, then apply it in a word problem.
- The result goes off trackAdd a check for meaning and units. In the example, water is added: the amount of syrup stays fixed and the drink becomes less concentrated.
FNEGE sets the level: French ninth-grade arithmetic, geometry, and algebra. Upsilar’s Calculation curriculum breaks this down into 6 chapters, 24 themes, and 273 topics. The subtests (opens in a new tab)
Chapter 1 · 18 topics
Section format and problem-solving under time pressure
- Official format
- Modeling a word problem
- Planning and checking
Chapter 2 · 39 topics
Arithmetic and numerical calculation
- Numbers, signs, and operations
- Divisibility and properties of integers
- Fractions and decimal notation
- Powers and roots
Chapter 3 · 72 topics
Proportions, percentages, and quantitative problems
- Ratios and proportionality
- Percentages and changes
- Averages, mixtures, and rates
- Speed, time, distance, and units
- Costs, subscriptions, and pricing
Chapter 4 · 38 topics
Algebra, equations, and sequences
- Algebraic expressions
- Equations and inequalities
- Systems and problems with multiple unknowns
- Arithmetic and geometric sequences
Chapter 5 · 61 topics
Plane and solid geometry
- Lines and angles
- Triangles and similarity
- Quadrilaterals and circles
- Solids and scale transformations
- Measurements, areas, and partitions
Chapter 6 · 45 topics
Counting, probability, and basic statistics
- Basic combinatorics
- Basic probability
- Basic descriptive statistics
Recorded in the Upsilar curriculum on September 26, 2026.
Frequently asked questions about Calculation
Where should I start if my fundamentals are shaky?
Upsilar recommends separating the model from the calculation: first write the relationship, then perform the required operations. Review fractions, units, or equations when your scratch work shows that they are the obstacle, instead of restarting every chapter after each mistake.
How do I know whether I need to calculate exactly?
Look at how the answer choices differ. An estimate may rule out widely separated results; if several remain possible, continue calculating. Estimation helps reduce work and check the result, not justify choosing whichever answer is closest.
Are calculators allowed in Calculation?
No. FNEGE says calculators are not allowed during the test; the test booklet can be used for scratch work.
What level of math do you need?
According to FNEGE, the level is equivalent to French ninth grade: basic arithmetic, geometry, and algebra. The main challenge is setting up equations from word problems.
How many questions are there, and how much time do you get?
Fifteen questions with five answer choices each in 20 minutes: an average of 1 minute 20 seconds per question. Calculation is the second of six sections.
How is Calculation different from Data Sufficiency?
The skill areas are the same, according to FNEGE, but the task is different. In Calculation, you find a value; in Data Sufficiency, you decide whether the information given is enough to determine it. The Data Sufficiency section guide