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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SA-9709-P1-SR2-G012 marksL1 FoundationCalculatorAP formulae

For the arithmetic progression

3,\ 7,\ 11,\dots

, find the common difference and the 15th term.

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SA-9709-P1-SR3-0012 marksL1 FoundationCalculatorGP formulae

Find the 8th term of the geometric progression

64,\ 32,\ 16,\dots

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SA-9709-P1-SR3-G012 marksL1 FoundationCalculatorGP formulae

For the geometric progression

2,\ 6,\ 18,\dots

, find the common ratio and the 6th term.

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SA-9709-P1-SR4-G012 marksL1 FoundationCalculatorSum to infinity

For the geometric series

12+6+3+\dots

, find the common ratio and the sum to infinity.

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SA-9709-P1-SR-G013 marksL1 FoundationCalculatorExpanding

Find the first three terms in the expansion of

(1+2x)^5

in ascending powers of

x

. Give the coefficients of

x

and

x^2

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SA-9709-P1-TR-0011 markL1 FoundationCalculatorExact values

Find the exact value of

\cos150^\circ

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SA-9709-P1-TR-0021 markL1 FoundationCalculatorExact values

Find the exact value of

\tan\dfrac{\pi}{3}

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SA-9709-P1-TR1-0011 markL1 FoundationCalculatorExact values

Find the exact value of

\sin135^\circ

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SA-9709-P1-TR1-G012 marksL1 FoundationCalculatorQuadrants

Find the exact value of

\cos210^\circ

. First give the reference angle, then the value.

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SA-9709-P1-TR2-0011 markL1 FoundationCalculatorTransformations

State the period of

y=\sin3x

, in degrees.

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SA-9709-P1-TR2-G012 marksL1 FoundationCalculatorTransformations

For the curve

y=2\cos x

, state the maximum value of

y

and the period in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0011 markL1 FoundationCalculatorPrincipal values

Find the exact value of

\tan^{-1}(-1)

in radians.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0031 markL1 FoundationCalculatorPrincipal values

State the value of

\sin^{-1}1

in degrees.

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SA-9709-P1-TR3-G012 marksL1 FoundationCalculatorPrincipal values

Find the exact values, in radians, of

\sin^{-1}\dfrac{\sqrt3}{2}

and

\cos^{-1}0

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR4-0011 markL1 FoundationCalculatorIdentities

\tan x\cos x

simplifies to

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SA-9709-P1-TR4-G012 marksL1 FoundationCalculatorIdentities

Simplify

\dfrac{1-\cos^2x}{\sin x}

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SA-9709-P1-TR5-0012 marksL1 FoundationCalculatorEquations

Solve

\sin x=-0.5

for

0^\circ\le x\le360^\circ

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SA-9709-P1-TR-G012 marksL1 FoundationCalculatorEquations

Solve

\sin x=0.5

for

0^\circ\le x\le360^\circ

, step by step.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P2-AL-0022 marksL1 FoundationCalculatorSimple

The solution of

|2x-1|<5

a<x<b

. Find

a

and

b

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SA-9709-P2-AL-0092 marksL1 FoundationCalculatorRemainder theorem

Find the remainder when

x^3+2x^2-5x+1

is divided by

(x-2)

Salam Academy Original Practice · Proposed mark scheme