TEMAS DE MATHEMATICS DE CEnT-S · ESTRUCTURA DEL EXAMEN

¿En qué centrarte y cómo prepararte?

Complete syllabus breakdown, question-bank frequency analysis, difficulty rankings, solved sample problems and a 10-week study plan. Master the 15 mathematics questions in 30 minutes.

15 preguntas de Mathematics (15 Pts)30 minutos de cronómetro por secciónRanking de dificultad de los temasPlan de estudio de 10 semanas
Haz el test diagnóstico gratuitoVer todos los temas de CEnT-S
15 MCQsMathematics Questions
7 Core TopicsIn the CISIA Syllabus
2 minAverage Time per Question
−0.25Penalty per Wrong Answer

The Mathematics section is the first and largest block of CEnT-S: 15 questions in 30 minutes — exactly 2 minutes per question. It is benchmarked against Italian upper-secondary (liceo) mathematics: algebra, function graphs, geometry and basic probability.

Together with Reasoning on Texts and Data, Mathematics delivers 30 of the 65 questions (46% of the score). Every point here is worth the same as a point in Physics — but there are three times as many of them.

Análisis de la distribución de preguntas

Temas de Mathematics de CEnT-S: frecuencia

¿Qué temas requieren más atención? Este es el desglose por temas a partir de nuestros datos de preguntas de CEnT-S:

TemaExam 1Exam 2Exam 3Total
Algebra & Equations52310
Probability, Combinatorics & Statistics4228
Functions & Graphs1337
Geometry & Coordinates1337
Numbers & Arithmetic2125
Sets & Logic1214
Exponentials & Logarithms1214

*Question counts per topic in 3 CEnT-S past exams from our question bank; each exam has the full 15 Mathematics questions. Exams are numbered, not dated. These figures are derived from the past-exam question samples that have reached us; the samples may be incomplete or contain errors, and the topic mix can change from one exam session to the next. Treat them as a guide to priorities, not a prediction of your exam.

Ideas clave

  • Algebra leads the past exams (10 of 45 questions) — equivalent forms, factorisation and 2nd-degree inequalities.
  • Probability & counting is second (8 of 45), mostly real-life counting.
  • Functions & graphs follow closely (7 of 45): composition, domain and graph transformations.
  • Exponentials & logarithms appear in every exam (1–2 questions): one-step equations and inequalities.
  • Trigonometry is practically absent — do not over-invest in it.
Análisis de dificultad

Dificultad de los temas y reparto de estudio recomendado

No todos los temas exigen el mismo tiempo. Algunos requieren mucha práctica resolviendo problemas; otros dependen de recordar con precisión conceptos concretos:

Difícil
Combinatorics & Probability 2 weeks
Difícil
Functions & Graphs 1.5–2 weeks
Medio
Algebra 1.5–2 weeks
Medio
Exponentials & Logarithms 1 week
Medio
Geometry & Coordinates 1 week
Fácil
Basic Statistics 3–4 days
Fácil
Numbers 3–4 days

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Desglose del temario oficial

Temas de Mathematics de CEnT-S: cómo se evalúa cada uno

Un repaso tema por tema de la sección de Mathematics del official CISIA CEnT-S syllabus:

01

Numbers Fácil

  • Operations and ordering of integers, rationals and reals.
  • Division with remainder, factorisation, divisors and multiples (GCD/LCM).
  • Powers, roots, percentages and evaluation of numerical expressions.

Cómo aparece en CEnT-S: Fast mental arithmetic. Expect order-of-magnitude comparisons, percentage changes and ‘which number is largest’ items without a calculator.

02

Algebra Medio

  • Literal expressions, identities, equalities and inequalities.
  • Polynomial factorisation and roots; 1st and 2nd degree equations and inequalities.
  • Linear systems of equations.

Cómo aparece en CEnT-S: Very often asks ‘which equality is NOT equivalent’. Traps: dividing by a variable that may be zero, and flipping the inequality sign.

03

Geometry Medio

  • Plane and solid figures: perimeters, areas, volumes.
  • Similarity and proportions between figures.
  • Cartesian plane: distance, midpoint, equation of a line and of a circle.

Cómo aparece en CEnT-S: Short coordinate-geometry questions and scaling: if lengths double, areas ×4 and volumes ×8.

04

Functions Difícil

  • Concept of function, composition and invertibility.
  • Graph transformations: shifts, reflections, stretches.
  • Elementary functions: power, polynomial, 1/(ax+b), absolute value.

Cómo aparece en CEnT-S: Graph-matching questions and compositions f(f(x)). Domain restrictions are the favourite distractor source.

05

Exponentials & Logarithms Medio

  • Definitions and algebraic properties of powers and logarithms.
  • Elementary exponential and logarithmic equations.
  • Elementary exponential and logarithmic inequalities.

Cómo aparece en CEnT-S: Clean one-step equations. Remember the argument of a log must be positive and that a base < 1 reverses inequalities.

06

Combinatorics & Probability Difícil

  • Counting finite sets; dispositions, permutations, combinations.
  • Probability of an event; union and intersection of events.
  • Complementary events and independent events.

Cómo aparece en CEnT-S: Real-life counting (outfits, codes, menus). Most errors come from double counting or forgetting the ‘none’ case.

07

Basic Statistics Fácil

  • Data representation: tables, histograms, pie charts.
  • Absolute and relative frequency.
  • Mean, median and mode.

Cómo aparece en CEnT-S: Reading a chart and computing a mean or median; weighted averages are a common twist.

Official CISIA Syllabus

The full, official CEnT-S syllabus and test structure are published by CISIA:

cisiaonline.it — CEnT-S structure and syllabus
Problemas de examen resueltos

Preguntas de ejemplo de Mathematics de CEnT-S y tácticas de eliminación

Descubre cómo se construyen las preguntas de mathematics de CEnT-S y cómo una eliminación disciplinada evita la penalización de −0.25:

01Algebra & Equivalent FormsPregunta 1
Let xx and yy be real numbers, x≠0x \neq 0, and yx=y2−2y\dfrac{y}{x} = y^2 - 2y. All the following equalities are true except one. Which one?
Elige una respuesta para ver la explicación
02CombinatoricsPregunta 2
A T-shirt is available in 6 colours. It may have no print, one of 3 phrases, one of 4 pictures, or both one phrase and one picture. How many different T-shirts are possible?
Elige una respuesta para ver la explicación
03Algebra · Quick InsightPregunta 3
Consider xy=zxy = z and x2−2xy+y2=0x^2 - 2xy + y^2 = 0. If (x,−1,y)(x, -1, y) is a solution, what is x−yx - y?
Elige una respuesta para ver la explicación
Análisis de trampas del examen

Los 5 errores más comunes en Mathematics de CEnT-S

Errores conceptuales y tácticos recurrentes que les cuestan puntos decisivos a los estudiantes:

01

Dividing by a variable

Cancelling xx or yy without checking it can be zero loses solutions — and CISIA builds the wrong option from exactly that.

02

Inequality sign flips

Multiplying by a negative number, or using a logarithm/exponential with base < 1, reverses the inequality.

03

Double counting

In combinatorics, decide first whether order matters and whether cases overlap; add disjoint cases, multiply independent choices.

04

Forgetting the domain

Square roots, logarithms and fractions restrict the domain; options outside it are planted on purpose.

05

Guessing blindly

Each wrong answer costs 0.25. Eliminate two options before guessing — then the expected value is positive.

Hoja de ruta de estudio

Hoja de ruta estratégica de estudio de 10 semanas

Weeks 1–2

Diagnostic & Foundations

Take a timed diagnostic; rebuild the Foundation topics marked ‘Easy’ and note every error type.

Weeks 3–5

Core Topics

Work through the ‘Medium’ and ‘Hard’ topics in the order of the frequency table; 20–30 targeted questions per topic.

Weeks 6–7

Mixed Practice

Mixed sets under section timing (2 min/question). Keep an error log: concept, reading or calculation.

Weeks 8–9

Full Mocks

One full 65-question CEnT-S mock per week with real section timers; review every wrong and every guessed answer.

Week 10

Final Polish

Re-do your error log, revise traps, and practise the skip-or-guess rule for the −0.25 penalty.

Otras guías por sección de CEnT-S