Practise

Question bank

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

TopicSkillDifficulty

14 questions

SA-9709-P1-TR2-0011 markL1 FoundationCalculatorTransformations

State the period of

y=\sin3x

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0051 markL1 FoundationCalculatorGraphs

The graph of

y=\tan x

has vertical asymptotes at

Salam Academy Original Practice · Proposed mark scheme

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-TR2-Q011 markL1 FoundationCalculatorGraphs

The graph of

y=\cos x

is the graph of

y=\sin x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR-Q021 markL1 FoundationCalculatorGraphs

The period of

y=\tan x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR-0112 marksL2 StandardCalculatorGraphs

For the curve

y=3\sin2x

, state the maximum value of

y

and the period in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0022 marksL2 StandardCalculatorTransformations

Find the maximum and minimum values of

y=4-3\sin x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0031 markL2 StandardCalculatorGraphs

State the period of

y=\tan2x

, in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0041 markL2 StandardCalculatorTransformations

Find the value of

x

, for

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

, at which

y=\cos(x-60^\circ)

has its maximum.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0061 markL2 StandardCalculatorUsing graphs

State the number of solutions of

\sin x=0.3

for

0^\circ\le x\le720^\circ

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR-0163 marksL3 ExamCalculatorGraphs

The curve

y=a+b\cos x

, where

b>0

, has a maximum value of

7

and a minimum value of

1

. Find

a

and

b

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0072 marksL3 ExamCalculatorUsing graphs

State the number of solutions of

\cos2x=0.5

for

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

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0083 marksL3 ExamCalculatorTransformations

The curve

y=a\sin bx

, where

a

and

b

are positive, has its first maximum point at

(30^\circ,\ 5)

. Find

a

and

b

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR2-0094 marksL4 ChallengingCalculatorUsing graphs

The height,

h

metres, of a seat on a Ferris wheel

t

minutes after the ride starts is

h=20-18\cos(12t)^\circ

. Find (a) the greatest height of the seat, (b) the time for one full revolution, and (c) the height after

5

minutes.

Salam Academy Original Practice · Proposed mark scheme