Quadratics Practice 2016

Six questions, of progressive difficulty, each on 'complete the square then solve', 'factorise then solve', 'quadratic formula to solve'. PDF here.

Quadratic Formula Synthesis

Complete the steps in the table to get from ax2+bx+c=0 to the quadratic formula. Or, cut out the steps and ask students to arrange them in the correct order. Answers on page 1, empty table on page 2.

Core 1 Quadratic Problem Solving Questions

Five worded problems requiring knowledge of quadratic algebra to solve.

Introduction to Solving Quadratics by Factorisation

Examples (or use as questions) to lead classes through solving quadratics by factorising, from easier to much harder questions. Or use pdf version

Quadratics Factorising Vs Quadratic Formula

A set of match up cards; quadratic equations and thier solutions, some solvable by factorising and others by the formula. Pupils decide which method to use.

Expanding / Factorising Quadratics where x coefficient is greater than 1 (expressions like 3x2+11x+10)

A self-differentiable set of questions for students to practise their way through expanding and factorising quadratics, from straightforward to very difficult. Ask students to choose a path of adjacent questions leading from top-left (very easy) to bottom-right (fiendish). Answers included together with differing versions of the activity. Another set of factorising and expanding quadratics.

Further Factorising

Twenty questions to factorise the numerator and denominator quadratic expressions and then cancel.

Quadratic Discs

Six questions to find everything out about the quadratic expressions.

Factorising Quadratic Types

Prompt for learning where to put + & - symbols when factorising quadratics.

GCSE A Grade Algebra Question Match-up Cards

A set of 26 A-Grade algebra questions on simplifying, rearranging and solving. Pupils match up questions to answers and then use as support, or just for checking, to solve questions. Here is set of 'rich questions' to go with the activity.

Big Quadratic Formula

Powerpoint slide of quadratic formula, very big for pupils to copy!

Quadratic Formulae

MS Excel program that makes quadratic formula easy - just input the a, b & c values and you're done!

NB - Only use once you've practiced using the formula by hand first.


image Completing the Square

Some questions that lead students to discover completing the square for themselves. Answers included. Practice at completing the square.


The Discriminant

Three examples of expressions with differing discriminants and thier affect on the graphs. Here is the Autograph file used.

Quadratic Practice

Three quadratic equations, of varying difficulty, to solve via each of the three methods: Factorising, Completing the Square & Quadratic Formula.

Three versions of this: Easy, Medium or Hard.

Practice at completing the square.


image Solving Quadratics by the 3 Methods

Three sets of four questions: solving by factorising, solving by quadratic formula, solving by completing the square. In each set one question straightforward, one harder, one requiring rearrangment, one from another format. Answers included.


Factorising Quadratics Lead In

Ten quadratics to expand which lead to the concept of factorising with differing +/- symbols

Expanding Quadratics

Twelve quadratic expansions to rewrite without the brackets. Then twelve more plus twelve to factorise.

Quadratic Matching

Match up the factorised quadratic expressions with the expanded versions. I used this as a topic consolidation activity.

Quadratic Expansions

Ppt file that attempts to highlight similarities between long multiplication and expanding quadratics.


Cut them up then match up each expression in the expanded, factorised, completed square, graphical and the quadratic formula forms.