AQA, OCR, Edexcel GCSE GCSE Maths

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AQA, OCR, Edexcel

GCSE

GCSE Maths

Completing the Square

Questions

Name:

Total Marks:

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Completing the Square

1. a. Express

in the form

b. Hence, or otherwise, solve

(4 Marks)

2. Given that

find the values of

and .

(3 Marks)

3. Solve the following quadratic equations through completing the square.

Leave your answer is surd form where necessary:

a.

b.

c.

d.

e.

(15 Marks)

4. Express

in the form

a. Hence, solve

(5 Marks)

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.

.

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5. The diagram below shows a rectangle with area equal to

.

a. Show that

b. Hence solve for

(Hard)

(5 Marks)

6. a. Write

in the form

b. Use your answer to part a to give the coordinates for the minimum

point on the graph of

(Hard)

(5 Marks)

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