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Quadratic Formula

This document contains 15 exam-style questions testing skills with solving quadratic equations. Students are provided the quadratic formula and instructed to show their work. Questions involve solving equations; finding lengths, areas, and perimeters; and identifying coefficients in quadratic expressions. Guidance emphasizes carefully reading questions, checking answers, and showing workings. A video tutorial and answer key are also referenced.

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maria
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64 views8 pages

Quadratic Formula

This document contains 15 exam-style questions testing skills with solving quadratic equations. Students are provided the quadratic formula and instructed to show their work. Questions involve solving equations; finding lengths, areas, and perimeters; and identifying coefficients in quadratic expressions. Guidance emphasizes carefully reading questions, checking answers, and showing workings. A video tutorial and answer key are also referenced.

Uploaded by

maria
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name:

Exam Style Questions

Quadratic Formula

Equipment needed: Calculator, pen

Guidance

1. Read each question carefully before you begin answering it.


2. Check your answers seem right.
3. Always show your workings

Video Tutorial

www.corbettmaths.com/contents

Video 267

Answers and Video Solutions

© Corbettmaths 2023
1. Write down the quadratic formula.

x = ..................................................
(1)

2. Solve the equation x 2 + 5x + 1 = 0

Give your answers to one decimal place.

x = ..................... or x = .....................
(3)

3. Solve the equation 2x 2 + 6x + 1 = 0

Give your answers to two decimal places.

x = ..................... or x = .....................
(3)
© Corbettmaths 2023
4. Solve the equation 4x 2 + x − 7 = 0

Give your answers to two decimal places.

x = ..................... or x = .....................
(3)

5. Solve the equation x 2 − 2x − 9 = 0

Give your answers to two decimal places.

x = ..................... or x = .....................
(3)

6. Solve the quadratic equation 7x 2 − 25x + 2 = 0

Give your answers to two decimal places.

....................................................................
(3)
© Corbettmaths 2023
7. Solve the equation 3x 2 + 10x + 5 = 7

Give your answers to two decimal places.

....................................................................
(3)

8. Solve the equation 11x 2 = 7 − 2x

Give your answers to two decimal places.

....................................................................
(3)

9. Solve the equation 12x 2 − 13x + 4 = 13x 2 − 5x + 1

Give your answers to one decimal place.

....................................................................
(3)
© Corbettmaths 2023
10. A rectangular field is 15m longer than it is wide.
The area of the field is 800m²

Work out the length of the field.


Give your answer to 1 decimal place.

.....................m
(4)

11.

Shown above is a right angled triangle.

(a) Show that x 2 − x − 14 = 0

(3)
(b) Find x.

.....................cm
(3)
© Corbettmaths 2023
12. Solve, giving your answers to two decimal places.

7
= m + 10
m+9

m = ..................... or m = ....................
(3)

13. Shown is a triangle with area 19cm².

Find the value of x

....................................................................
(4)
© Corbettmaths 2023
14. Jack is solving a quadratic equation in the form x 2 + bx + c = 0

He has got to this point in his working out

5± 53
x=
2
Find the values of b and c.

b = ……………………… c = ………………………
(3)

© Corbettmaths 2023
15. The area of the shape below is 100cm²

(a) Show that 8x 2 − 15x − 113 = 0

(3)

(b) Find the perimeter of the shape

.....................cm
(5)
© Corbettmaths 2023

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