Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Rearrange a specific formula. No randomisation.

Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Substitute values into an algebraic expression and calculate the result.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Expand two brackets involving powers of $x$.

Expanding two linear brackets multiplied together.

Factorise an expression of 2 or 3 terms where the gcd is a letter times a number. Part of HELM Book 1.3.4

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Filling in the blanks from the answer to a simplified expression involving indices.

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

perform a calculation involving negative indices.

Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $b$, for integers $a$, $b$, $m$ and $n$.

Calculate an answer involving a fractional index.

Find the missing whole number power in an equation.

A question which asks students to encrypt a number using RSA, then to factor a small public key and find the decryption exponent.

Predicting the probability of an unbiased coin landing on heads based on the results of previous throws.

Calculate probability of selecting coloured counters from a bag.

Tests understanding of scatter plots and related concepts.

Calculate an intersection probability given a two way table.

Identifying measures of spread or location (average)

This question asks the student to choose the appropriate measure of average and spread for a data with outliers.

This question provides a list of data to the student. They are asked to find the "median".

This question provides a list of data to the student. They are asked to find the "range".

Calculating the Mean from a basic list of integers.