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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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23 questions · page 1 of 2

SA-9709-P1-QD2-0062 marksL1 FoundationCalculatorFactorising
Solve 4x2=94x^2=9.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0072 marksL1 FoundationCalculatorFactorising
Solve x2=5xx^2=5x.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-G012 marksL1 FoundationCalculatorFactorising
Solve x2−7x+10=0x^2-7x+10=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-Q011 markL1 FoundationCalculatorFactorising
A student solves x2=7xx^2=7x by dividing both sides by xx. Which solution do they lose?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-Q021 markL1 FoundationCalculatorDisguised quadratics
To solve x−7x+10=0x-7\sqrt x+10=0, the best substitution is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0023 marksL2 StandardCalculatorFactorising
Solve 3x2+10x−8=03x^2+10x-8=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0032 marksL2 StandardCalculatorFactorising
Solve x(x−3)=10x(x-3)=10.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0043 marksL2 StandardCalculatorFormula
Solve x2−4x−3=0x^2-4x-3=0, giving your answers in the form p±qp\pm\sqrt q. State pp and qq.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0053 marksL2 StandardCalculatorFormula
Solve 2x2+3x−4=02x^2+3x-4=0, giving your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0113 marksL2 StandardCalculatorDisguised quadratics
Solve (x+2)2−5(x+2)+6=0(x+2)^2-5(x+2)+6=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0123 marksL2 StandardCalculatorFactorising
Solve x+6x=5x+\dfrac6x=5.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0143 marksL2 StandardCalculatorFactorising
A rectangle is 33 cm longer than it is wide, and its area is 4040 cm2^2. Find its width.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-Q041 markL2 StandardCalculatorCompleting the square
Solving (x−1)2=9(x-1)^2=9 gives
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0063 marksL3 ExamCalculatorCompleting the square
By completing the square, solve x2−4x−1=0x^2-4x-1=0. Give your answers in exact form. (Enter both, separated by a comma, or use ±.)

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0143 marksL3 ExamCalculatorCompleting the square
Solve x2+6x+2=0x^2+6x+2=0 by completing the square, giving exact answers.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0234 marksL3 ExamCalculatorDisguised quadratics
Solve x4−5x2+4=0x^4-5x^2+4=0. (Enter all solutions, separated by commas.)

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0264 marksL3 ExamCalculatorDisguised quadratics
Solve 6x2−1x−1=0\dfrac{6}{x^2}-\dfrac{1}{x}-1=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0084 marksL3 ExamCalculatorDisguised quadratics
Solve 2x4−7x2+3=02x^4-7x^2+3=0, giving exact answers.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0094 marksL3 ExamCalculatorDisguised quadratics
Solve 32x−10×3x+9=03^{2x}-10\times3^x+9=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD2-0104 marksL3 ExamCalculatorDisguised quadratics
Solve 6x+x−1=06x+\sqrt x-1=0.

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Salam Academy Original Practice · Proposed mark scheme