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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-4024-AL2-0032 marksL1 FoundationCalculatorSolving quadratics
Solve x2−5x+6=0x^2-5x+6=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0012 marksL1 FoundationNon-calculatorSolving quadratics
Solve x2+3x=0x^2+3x=0. Give the non-zero solution.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0061 markL1 FoundationNon-calculatorSolving quadratics
Solve x2−9=0x^2-9=0. Give the positive solution.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0053 marksL2 StandardCalculatorSolving quadratics
Solve 2x2−5x−1=02x^2-5x-1=0, giving your answers correct to 2 decimal places.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0063 marksL2 StandardNon-calculatorCompleting the square
Write x2−6x+11x^2-6x+11 in the form (x−a)2+b(x-a)^2+b. Hence write down the minimum value of x2−6x+11x^2-6x+11.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL2-0043 marksL2 StandardCalculatorSolving quadratics
Solve x2+4x−2=0x^2+4x-2=0, giving your answers correct to 2 decimal places.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0022 marksL2 StandardNon-calculatorSolving quadratics
Solve 2x2+x−6=02x^2+x-6=0. Give the positive solution.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0032 marksL2 StandardNon-calculatorCompleting the square
x2+8x+3=(x+a)2+bx^2+8x+3=(x+a)^2+b. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0042 marksL2 StandardNon-calculatorCompleting the square
By completing the square, find the coordinates of the turning point of y=x2−4x+1y=x^2-4x+1.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0184 marksL3 ExamCalculatorSolving quadratics
Solve 3x+1+2x−2=1\dfrac{3}{x+1}+\dfrac{2}{x-2}=1, giving your answers correct to 2 decimal places.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0053 marksL3 ExamCalculatorCompleting the square
By completing the square, solve x2+6x+4=0x^2+6x+4=0. Give the larger solution correct to 2 decimal places.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0195 marksL4 ChallengingCalculatorSolving quadratics
A rectangle is xx cm wide and (x+3)(x+3) cm long. Its area is 4040 cm2^2. (i) Form and solve an equation to find xx. (ii) Find the perimeter of the rectangle.

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Salam Academy Original Practice · Proposed mark scheme