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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-9709-P5-PC2-0011 markL1 FoundationCalculatorRestrictions
How many arrangements of the letters of the word CASTLE begin with S?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0022 marksL1 FoundationCalculatorTogether / apart
Six people stand in a line. In how many arrangements do two particular people, A and B, stand next to each other?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC-0032 marksL2 StandardCalculatorTogether / apart
In how many arrangements of the letters of BANANA are the two Ns next to each other?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC-0043 marksL2 StandardCalculatorTogether / apart
Seven people stand in a line. Find the number of arrangements in which two particular people are not next to each other.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC-0053 marksL2 StandardCalculatorRestrictions
How many arrangements of the letters of ORANGE begin and end with a vowel?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0032 marksL2 StandardCalculatorTogether / apart
Six people stand in a line. In how many arrangements are A and B not next to each other?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0042 marksL2 StandardCalculatorRestrictions
How many 33-digit even numbers can be made from the digits 1,2,3,4,5,61,2,3,4,5,6 if no digit is repeated?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0063 marksL2 StandardCalculatorTogether / apart
How many arrangements of the letters of DECIMAL have the three vowels E, I and A all next to each other?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0072 marksL2 StandardCalculatorRestrictions
How many arrangements of the letters of the word ELEVEN begin with E?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC-0103 marksL3 ExamCalculatorRestrictions
How many 44-digit numbers greater than 50005000 can be made from the digits 1,2,3,4,5,6,71,2,3,4,5,6,7 if no digit is repeated?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC2-0053 marksL3 ExamCalculatorTogether / apart
Four boys and three girls stand in a line. In how many arrangements are no two girls next to each other?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-PC-0125 marksL4 ChallengingCalculatorTogether / apart
Find the number of arrangements of the letters of PROBABILITY, and the number in which the two Is are not next to each other.

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Salam Academy Original Practice · Proposed mark scheme