Let the fantastic wealth of resources below teach you all about the Quadratic Formula.

Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

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A sound understanding of the * Quadratic Formula *is essential to ensure exam success.

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the N5 Maths course in 2019/20 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2019/20.

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Exam Ques 1 (N5) | Factorising (No Answers) |

Exam Ques 1 (N5) | Factorising (With Answers) |

Exam Ques 2 (N5) | Parabolas (No Answers) |

Exam Ques 2 (N5) | Parabolas (With Answers) |

Exam Ques 3 (N5) | Quadratic Formula (No Answers) |

Exam Ques 3 (N5) | Quadratic Formula (With Answers) |

Exam Ques 4 (N5) | Quadratic Problems (No Answers) |

Exam Ques 4 (N5) | Quadratic Problems (With Answers) |

Exam Ques 5 (N5) | Factorising |

Exam Ques 6 (N5) | Factorising & Problem Solving |

Exam Ques 7 (N5) | Quadratic Equations & Graphs |

Exam Ques 8 (N5) | Quadratic Formula |

Exam Ques 9 (N5) | Quadratic Graphs |

Exam Ques 10 (GCSE) | Solving Quadratics |

Exam Ques 11 (GCSE) | Quadratic Formula |

Exam Ques 12 (GCSE) | Algebraic Quadratics |

Worksheet 1 | Factorising |

Worksheet 2 | Quadratics |

Mind Map 1 | Quadratic Functions |

Mind Map 2 | Quad Functions (PowerPoint) |

PowerPoint 1 | Factorising Quadratics |

PowerPoint 2 | Quadratics |

The formula is used to solve quadratic equations which do not factorise. For example, try to factorise:

* x² + 5x + 7*

It won’t factorise!! There are no combinations of numbers which multiply to give 7 and add to give 5.

The reason that the trinomial does not factorise is because the solution to the equation (the roots) have a decimal value.

To find the roots, the quadratic equation is compared with *ax² + bx + c* to find the values of *a, b & c.*

* ax² + bx + c = 0*

* x² + 5x + 7 = 0*

Comparing the above equations: *a = 1, b = 5, c = 7*

These values are substituted into the quadratic formula to give two solutions:

.

In exams, when asked to solve a quadratic correct to a number of decimal places, or significant figures, then the quadratic formula must be used.

The table below gives the links to our three dedicated websites and exam focused Study Packs for N5, Higher and AH Higher Maths.

Also included are additional courses where you will find a wealth of excellent resources to help with your studies.

Course _____________________ | Website Home Page _____________________ | Whole Course Page _____________________________ | Student Online Study Pack ____________________________ | School Online Study Pack _______________________________ |

AH Maths | AH Maths Home Page | AH Maths Whole Course Page | AH Student Study Pack | AH School Study Pack |

Higher Maths | Higher Maths Home Page | Higher Maths Whole Course Page | Higher Student Study Pack | Higher School Study Pack |

N5 Maths | N5 Maths Home Page | N5 Maths Whole Course Page | N5 Maths Student Study Pack | N5 Maths School Study Pack |

N5 Applications of Maths | N5 Applications Whole Course Page | N5 Applications Student Study Pack | N5 Applications School Study Pack | |

Primary School Maths | Primary School Whole Course Page | |||

S1 & S2 Maths | S1 & S2 Maths Whole Course Page | |||

National 3 Maths | N3 Maths Whole Course Page | |||

National 4 Maths | N4 Maths Whole Course Page | |||

GCSE Maths | GCSE Maths Whole Course Page | |||

AH Maths of Mechanics | AH Mechanics Whole Course Page | |||

AH Statistics | AH Statistics Whole Course Page |

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about the * Quadratic Formula *to pass your final exam.

For students looking for a ‘good’ pass at National 5 Maths in 2020 you may wish to consider subscribing to the fantastic additional * exam focused* resources available in the Online Study Pack.

Subscribing to the Online Study Pack may therefore be one of your best ever investments. Please click Online Study Pack to view screenshots, examples and instructions on how to subscribe.

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We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2019/20.

to study Quadratic Formula

Past/Practice Exam Papers, Theory Guides, Worksheets, Starter Questions, Mind Maps, PowerPoints, Videos, Exam Focused Study Pack ...

Past/Practice Exam Papers, Theory Guides, Text Book Solutions, Starter Questions, Mind Maps, Videos, Exam Focused Study Pack ...

Past/Practice Exam Papers, Theory Guides, Text Book Solutions, Starter Questions, Mind Maps, Videos, Exam Focused Study Pack ...

Past/Practice Exam Papers, Theory Guides, Mind Maps, PowerPoints, Videos ...

Past/Practice Exam Papers, Mind Maps, PowerPoints, Videos, Exam Focused Study Pack ...

Primary, S1-S2, N3, N4, N5, GCSE, Higher, AH Maths, AH Statistics & AH Maths of Mechanics ...

Topic Links

Free resources to dozens of National 5 Maths topics are available by clicking on any of the links to the right.