Collection of questions on factorising quadratics with a=1.

Factorise a quadratic equation of the form $x^2+bx+c$ with one positive and one negative root.

Factorise a quadratic equation of the form $x^2+bx+c$ with one positive and one negative root.

Factorise a quadratic equation of the form $x^2+bx+c$ with two positive roots

Factorise a quadratic equations of the form $x^2+bx+c$ with 2 negative roots.

Factorising without powers

Factorise an expression of the form $ax^n+bx^m$.

Factorise an expression of the form $ax+bxy$ for variables $x$ and $y$.

Factorise an expression of the form $ax+bx^2$.

Factorise an expression of the form $-ax-b$ for numbers $a,b$

Factorise an expression of the form $-ax-b$ for numbers $a,b$

spot use of a multiplier to get equivalent fractions with larger denominators.

Simplifying a fraction with many factors up to cubed primes in common.

Simplifying a fraction with a common factor up to a square.

Cancelling down a single prime factor to simplify a fraction. 

Practice finding factors, HCF and LCM.

Calculating the LCM of two numbers by using prime factorisation.

Find the HCF of two numbers using prime factor decomposition.

Find the common factors of two numbers

Overview of what a factor is.

Simple question on times tables tests for 5s.

Prime factor decomposition starting steps.

factors of 9

Multiples, factors, lowest common multiples and highest common factors.

Simple question on times tables tests for 3s.

A cmprehensive set of questions covering the different ways to solve quadratics by factorising

Ensures that the quadratic factorises into a rational answer and an integer

Factorising where a has multiple factor pairs

solving a factorised quadratic

Simplifying first is essential in terms of managing expressions that might need factorising.