Practise

Question bank

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

TopicSkillDifficulty

13 questions

SA-9709-P3-LE2-0012 marksL1 FoundationCalculatorGraphs

For

y=e^x+2

, state the equation of the asymptote,

y=c

, and the

y

-intercept.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-G012 marksL1 FoundationCalculatorGraphs

State the

y

-intercept of

y=3e^x

and the

x

-intercept of

y=\ln x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-Q011 markL1 FoundationCalculatorGraphs

The value of

e

, correct to 3 decimal places, is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE-Q021 markL1 FoundationCalculatorInverses

For

x>0

e^{\ln x}

equals

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE-0143 marksL2 StandardCalculatorGraphs

The curve

y=e^{2x}-3

crosses the

x

-axis at

P

. Find the exact

x

-coordinate of

P

and the equation of the horizontal asymptote,

y=c

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE-0192 marksL2 StandardCalculatorGraphs

Find the exact

x

-coordinate of the point where the curve

y=\ln(x-2)+1

crosses the

x

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0022 marksL2 StandardCalculatorGraphs

For

y=2-e^{-x}

, state the equation of the asymptote,

y=c

, and the

y

-intercept.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0032 marksL2 StandardCalculatorGraphs

For

y=\ln(x+3)

, state the equation of the vertical asymptote,

x=a

, and the

x

-intercept.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0042 marksL2 StandardCalculatorExact answers

Solve

e^{2x}=7

, giving the exact value of

x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0052 marksL2 StandardCalculatorInverses

Find

f^{-1}(x)

when

f(x)=e^x+1

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0062 marksL2 StandardCalculatorInverses

Find

g^{-1}(x)

when

g(x)=\ln(2x)

, for

x>0

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0071 markL2 StandardCalculatorGraphs

How many times does the line

y=x+2

meet the curve

y=e^x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P3-LE2-0084 marksL4 ChallengingCalculatorExact answers

Solve

e^x-4=3e^{-x}

, giving the exact value of

x

Salam Academy Original Practice · Proposed mark scheme