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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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14 questions

SA-9709-P1-SR-0084 marksL1 FoundationCalculatorGP formulae
A geometric progression has first term 33 and common ratio 22. Find the 10th term and the sum of the first 10 terms.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0012 marksL1 FoundationCalculatorGP formulae
Find the 8th term of the geometric progression 64, 32, 16,…64,\ 32,\ 16,\dots

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-G012 marksL1 FoundationCalculatorGP formulae
For the geometric progression 2, 6, 18,…2,\ 6,\ 18,\dots, find the common ratio and the 6th term.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-Q011 markL1 FoundationCalculatorGP formulae
The common ratio of the geometric progression 8, −4, 2,…8,\ -4,\ 2,\dots is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR-0095 marksL2 StandardCalculatorUnknowns
The third term of a geometric progression is 1818 and the sixth term is 486486. Find the common ratio, the first term and the sum of the first 8 terms.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0022 marksL2 StandardCalculatorGP formulae
Find the sum of the first 66 terms of 1+3+9+…1+3+9+\dots

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0033 marksL2 StandardCalculatorGP formulae
Find the sum of the first 88 terms of the geometric progression 5, −10, 20,…5,\ -10,\ 20,\dots

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0043 marksL2 StandardCalculatorUnknowns
The second term of a geometric progression is 1212 and the fifth term is 9696. Find the common ratio and the first term.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0062 marksL2 StandardCalculatorIn context
$1000 is invested at 5%5\% compound interest per year. Find the value of the investment after 1010 years, to the nearest cent.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0053 marksL3 ExamCalculatorUnknowns
Find the number of the first term of the geometric progression 3, 6, 12,…3,\ 6,\ 12,\dots that exceeds 10001000.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0073 marksL3 ExamCalculatorIn context
A town of 20 00020\,000 people shrinks by 8%8\% each year. After how many complete years is the population first below 10 00010\,000?

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0083 marksL3 ExamCalculatorUnknowns
xx, x+6x+6 and 4x4x are consecutive terms of a geometric progression, and x>0x>0. Find xx and the common ratio.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR-0135 marksL5 ExtensionCalculatorUnknowns
The first, second and third terms of a geometric progression are the first, fourth and thirteenth terms of an arithmetic progression with non-zero common difference. Find the common ratio of the geometric progression.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-SR3-0094 marksL5 ExtensionCalculatorIn context
A ball is dropped from a height of 1010 m. After each bounce it rises to 34\tfrac34 of the height it fell from. Find the total distance it has travelled when it hits the ground for the 5th time, in metres to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme