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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.
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