Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

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Add, subtract, multiply and divide algebraic fractions.

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Encuentre la razón común de una secuencia geométrica dada, escriba la fórmula para el enésimo término y úsela para calcular un término dado en la secuencia.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$. Finally, find all solutions of an equation $\mod b$.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

On a plusieurs ensembles dont les éléments sont des entiers tirés aléatoirement. Il faut faire des opérations élémentaires faisant intervenir  $\cap,\;\cup$ et la notion de complémentaire.

Dadas las secuencias con términos faltantes, encuentra la diferencia común entre los términos.

Dada una fórmula para una secuencia, calcula un término dado.

Dados los primeros tres términos de una secuencia, da una fórmula para el término $ n^\text {th} $.

En la primera secuencia, $d$ es positivo. En la segunda secuencia, $d$ es negativo.

Doelstelling: leerlingen kunnen de coördinaten van punten in een assenstelsel bepalen

Add, subtract, multiply and divide numerical fractions.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

La derivada de $\displaystyle\frac{ax+b}{cx^2+dx+f}$ es $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$. Encontrar $g(x)$.

Add, subtract, multiply and divide numerical fractions.

Add, subtract, multiply and divide algebraic fractions.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Add, subtract, multiply and divide numerical fractions.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

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This quiz poses questions on basic probability and statistics.

Students seem to not realise that $\frac{a}{b}\times c=c\times\frac{a}{b}=\frac{a\times c}{b}=\frac{c\times a}{b}=a\times c \div b=a\div b\times c=c\div b \times a \ne c \div (b\times a)\ldots $ etc. This question is my attempt to help rectify this.