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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-DM-GT-G011 markL1 FoundationNon-calculatorSaddle points
Pay-offs to A: R1(3,−1,2)R_1(3,-1,2), R2(4,1,3)R_2(4,1,3), R3(−2,0,1)R_3(-2,0,1). Find A's play-safe value (maximin).

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-Q011 markL1 FoundationNon-calculatorDominance
Row R2(4,1,3)R_2(4,1,3) and row R1(3,−1,2)R_1(3,-1,2) (pay-offs to the row player). Which is true?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X011 markL1 FoundationNon-calculatorSaddle points
Pay-offs to A: R1(2,−1,3)R_1(2,-1,3), R2(1,0,2)R_2(1,0,2), R3(−2,1,−1)R_3(-2,1,-1). Find A's play-safe value (maximin).

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X031 markL1 FoundationNon-calculatorSaddle points
Since the maximin (00) and minimax (11) differ, the game
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-0012 marksL2 StandardNon-calculatorSaddle points
For the same game, find B's play-safe value (minimax of column maxima).

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-0031 markL2 StandardNon-calculatorMixed strategies
Find the value of that game to A.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X021 markL2 StandardNon-calculatorSaddle points
For the same game, find B's play-safe value (minimax).

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X041 markL2 StandardNon-calculatorDominance
In the same game, which column can B delete by dominance?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X061 markL2 StandardNon-calculatorMixed strategies
Find the value of that game to A.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-0022 marksL3 ExamNon-calculatorMixed strategies
Pay-offs to A: R1(4,−1)R_1(4,-1), R2(−2,3)R_2(-2,3). Find the probability pp with which A should play R1R_1.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-0042 marksL3 ExamNon-calculatorMixed strategies
In the same 2×22\times2 game, find the probability qq with which B should play the first column.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-GT-X052 marksL3 ExamNon-calculatorMixed strategies
Pay-offs to A: R1(3,−2)R_1(3,-2), R2(−1,2)R_2(-1,2). Find the probability pp with which A should play R1R_1.

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Salam Academy Original Practice · Proposed mark scheme