IB Programme

Programa do Bacharelato Internacional

IB-level mathematics by topic: calculus, functions, sequences, vectors, probability and statistics. Worked problems and interactive exercises at three difficulty levels.

Overall Progress0/125 (0%)

The first problem is a good place to start.

Sample Problems

Topics covered

Number· Números34Calculus· Cálculo29Geometry & Trigonometry· Geometria e Trigonometria27Probability· Probabilidade27Statistics· Estatística24Algebra· Álgebra20Functions· Funções17Sequences· Sequências11Vectors· Vetores11

75 items

0/6

Arithmetic Sequences

Sequências Aritméticas

Easy

Sequences · Sequências

The first term of an arithmetic sequence is $3$ and the common difference is $5$ . Find the 10th term.

Domain and Range

Domínio e Contradomínio

Easy

Functions · Funções

Find the domain and the range of $f(x) = \sqrt{x - 3}$ .

Basic Differentiation

Derivação Básica

Easy

Calculus · Cálculo

Find the derivative of $f(x) = 4x^{3} - 2x + 7$ .

Set Notation & Venn Diagrams

Notação de Conjuntos e Diagramas de Venn

Easy

Probability · Probabilidade

In a class of $35$ , $18$ play football, $12$ play basketball, and $5$ play both. How many play neither?

Gradient of a Line

Declive de uma Reta

Easy

Functions · Funções

Find the gradient of the line passing through the points $(2, 5)$ and $(6, 13)$ .

Sigma Notation

Notação Sigma

Easy

Sequences · Sequências

Evaluate: $\sum_{r=1}^{4} (2r + 1)$ .