Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-IAL-P1-TR-0101 markL1 FoundationCalculatorTrig graphs

Write down the period of

y=\sin2x

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0011 markL1 FoundationNon-calculatorTrig graphs

Write down the period of

y=\cos3x

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0021 markL1 FoundationNon-calculatorTrig graphs

Write down the period of

y=\tan x

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0031 markL1 FoundationNon-calculatorTrig graphs

Write down the minimum value of

y=2\sin x+1

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0051 markL1 FoundationNon-calculatorTransforming trig graphs

Find the

y

-coordinate where

y=-2\cos x

crosses the

y

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0061 markL1 FoundationNon-calculatorTrig graphs

Write down the exact value of

\sin\tfrac\pi3

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR-Q031 markL1 FoundationCalculatorTrig graphs

The maximum value of

y=3\cos x

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SA-IAL-P1-TR-0112 marksL2 StandardCalculatorTransforming trig graphs

Find the smallest positive value of

x

, in radians, where the graph of

y=\sin\!\left(x+\tfrac\pi6\right)

crosses the

x

-axis. Give an exact answer.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR-0122 marksL2 StandardCalculatorTransforming trig graphs

Find the equations of the vertical asymptotes of

y=\tan(x-45^\circ)

for

0^\circ<x<360^\circ

. Give the values of

x

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0041 markL2 StandardNon-calculatorTransforming trig graphs

Find the

x

-coordinate of the first maximum of

y=\sin(x-30^\circ)

for

x>0

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0071 markL2 StandardNon-calculatorTrig graphs

State the number of solutions of

\sin x=0.4

for

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

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-P1-TR3-0081 markL2 StandardNon-calculatorTransforming trig graphs

Find the

x

-coordinate of the maximum of

y=\sin2x

in the interval

0^\circ<x<180^\circ

Salam Academy Original Practice · Proposed mark scheme