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-P1-IN4-0013 marksL1 FoundationCalculatorArea under

The line

y=6-2x

meets the

x

-axis at

x=3

. Use integration to find the area between the line, the

x

-axis and the

y

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-G013 marksL1 FoundationCalculatorArea under

Find the area of the region under

y=x^2+1

between

x=0

and

x=3

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-Q011 markL1 FoundationCalculatorSigns and y-axis

For a region that lies entirely below the

x

-axis, the definite integral is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN-0084 marksL2 StandardCalculatorArea under

Find the area of the region enclosed by the curve

y=x^2-4x

and the

x

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN-0164 marksL2 StandardCalculatorArea between

Find the area of the region enclosed by the curve

y=x^2

and the line

y=2x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0023 marksL2 StandardCalculatorArea under

Find the area of the region enclosed by

y=4-x^2

and the

x

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0043 marksL2 StandardCalculatorArea between

Find the area of the region enclosed by

y=x^2

and

y=x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0073 marksL2 StandardCalculatorArea under

Find the area of the region bounded by

y=\dfrac{1}{x^2}

, the lines

x=1

and

x=4

, and the

x

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN-0095 marksL3 ExamCalculatorArea between

Find the area of the region enclosed by the curve

y=x^2

and the line

y=6-x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0034 marksL3 ExamCalculatorSigns and y-axis

Find the total area of the regions enclosed by

y=x^3-x

and the

x

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0063 marksL3 ExamCalculatorSigns and y-axis

Find the area of the region bounded by

y=x^2

(for

x\ge0

), the

y

-axis and the line

y=4

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0055 marksL4 ChallengingCalculatorArea between

Find the area of the region enclosed by

y=2x^2

and

y=x+1

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-IN4-0085 marksL4 ChallengingCalculatorArea between

Find the area of the region enclosed by the curve

y=x^2-2x

and the line

y=x

Salam Academy Original Practice · Proposed mark scheme