Portuguese National

Programa Nacional de Matemática

Portuguese school mathematics by topic: numbers and operations, algebra, geometry and statistics. Worked problems and interactive exercises at three difficulty levels.

Overall Progress0/149 (0%)

The first problem is a good place to start.

Sample Problems

Topics covered

Numbers & Operations· Números e Operações46Geometry· Geometria45Algebra· Álgebra32Statistics· Estatística24Calculus· Cálculo12Functions· Funções11Probability· Probabilidades8Trigonometry· Trigonometria8Complex Numbers· Números Complexos7Sequences· Sucessões7

51 items

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Fraction Operations

Operações com Frações

Easy

Numbers & Operations · Números e Operações

A baker uses $\frac{3}{4}$ of a bag of flour for bread and $\frac{2}{5}$ of a bag for cakes. How much flour does he use in total?

Order of Operations

Ordem das Operações

Easy

Numbers & Operations · Números e Operações

Calculate: $3 + 4 \times 2 - (6 \div 3)$ Show each step clearly.

Percentage Basics

Percentagens Básicas

Easy

Numbers & Operations · Números e Operações

A shirt costs €40. It is on sale with a 25% discount. What is the sale price?

Angle Sum in a Polygon

Soma dos Ângulos de um Polígono

Easy

Geometry · Geometria

What is the sum of the interior angles of a hexagon?

Simple Ratios

Razões Simples

Easy

Numbers & Operations · Números e Operações

Share €120 between Ana and Bruno in the ratio $3:5$ . How much does each person get?

Prime Factorization

Decomposição em Fatores Primos

Easy

Numbers & Operations · Números e Operações

Find the prime factorization of $180$ .