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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 2 of 2

SA-9709-P1-QD-0114 marksL4 ChallengingCalculatora ≠ 1
Express 5+4x−x25+4x-x^2 in the form a−(x−b)2a-(x-b)^2, and hence state the maximum value of 5+4x−x25+4x-x^2.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0124 marksL4 ChallengingCalculatorUnknown constants
The curve y=x2+px+qy=x^2+px+q has a minimum point at (3, −7)(3,\,-7). Find pp and qq.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-QD-0135 marksL5 ExtensionCalculatorUnknown constants
The curve y=x2−2kx+3ky=x^2-2kx+3k, where kk is a positive constant, has its minimum point on the xx-axis. Find kk.

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Salam Academy Original Practice · Proposed mark scheme