No description given

No description given

Multiplication of $2 \times 2$ matrices.

Add, subtract, multiply and divide algebraic fractions.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

Add, subtract, multiply and divide algebraic fractions.

Shows how to define variables to stop degenerate examples.

Exercises in multiplying matrices. 

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

A resource for Business students to practise calculating Normal probabilities and finding $Z$-values. 

Rearranging equations to change the subject

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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.

No description given

No description given

Add, subtract, multiply and divide algebraic fractions.

No description given

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 $\mod b$.

No description given

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.