Solve Â
Give your solutions correct to significant figures.
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Solve Â
Give your solutions correct to significant figures.
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Solve the equationÂ
Give your solutions correct to decimal places.
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Solve  Â
Give your solutions correct to decimal places.
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Solve   Â
Give your solutions correct to decimal places.
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Solve  Â
Give your solutions correct to significant figures.
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Liz is asked to solve the equationÂ
Here is her working.
Explain what is wrong with Liz's answer.
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Solve Â
Give your solutions correct to significant figures.
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Solve Â
Give your solutions correct to significant figures.
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Solve Â
Give your solutions correct to decimal places.
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.
[1]
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Solve Â
Show your working clearly.
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The only solution to    is   Â
Work out the values of and .
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Write in the form where and are integers.
Solve
Give your answers to 2 decimal places.
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SolveÂ
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Without expanding any brackets,
   show how to work out the exact solutions of   Â
Give the solutions.
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Solve by factorising.
= ....................... or = .......................
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Solve this equation algebraically.
Give your solutions correct to 2 decimal places.
3x2 + 8x - 5 = 0
x = .................... or x = ....................Â
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Solve.
.............. or ..............
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Solve.
  Â
= .................
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Solve  Â
Write your answer in the form where and are integers.
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Alison is using the quadratic formula to solve a quadratic equation.
She substitutes values into the formula and correctly gets.
Work out the quadratic equation that Alison is solving.
Give your answer in the form , where and are integers.
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The area of square is cm2.
Show thatÂ
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SolveÂ
Give your answers to 2 decimal places.
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can be written in the formÂ
where and are positive numbers.
Work out the values of and .
Using your answer to part (a), or otherwise, solve Â
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Here are two pieces of work.
For each one, describe the error made and give the complete correct solution.
Question: Solve by factorisation.
Solution:
Therefore |
Error: ........................................................
Correct solution:
Question:
Solution:
Therefore or |
Error: .....................................................................
Correct solution:
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Solve by factorisation.
x = ............................ or x = ............................Â
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Solve by factorisation.
2x2 − 19x − 33 = 0
x = ................... or x = ..................Â
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[3]
= ........... or = .......... [4]
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Solve by factorisation .Â
 Â
= ................... or = ...................
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Solve  Â
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Solve       Â
Give your solutions correct to significant figures.
Solve     Â
Give your solutions correct to significant figures.
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Given that
find the possible values of .
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The diagram shows a trapezium.
All the measurements are in centimetres.
The area of the trapezium is cm2.
Show thatÂ
Work out the value of .
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Given that
 Â
find the possible values of .
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The lengths of the sides are in centimetres.
The area of triangle T1 is equal to the area of triangle T2.
Work out the value of , giving your answer in the form  where and are integers.
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Given that Â
find the values of for whichÂ
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The diagram shows a trapezium.
All measurements shown on the diagram are in centimetres.
The area of the trapezium isÂ
Show thatÂ
Find the value ofÂ
Show your working clearly.
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Express in the form  where and are constants.
Use your answer to part (a) to solve the equationÂ
Give your solutions in the form where and are integers.
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Solve Â
Give your solutions to 3 significant figures.
You must show your working.
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andÂ
Find the value of when .
Show your working.
= ................Â
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 where  and Â
Find the ratio Â
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