Question bank
A structured topical practice space for 2020-2025, organised by chapter, difficulty, question style, and exam details.
640
Teacher-selected questions
Curated question set
32
Chapters
Pure Mathematics, Mechanics, and Statistics
5
Papers
P1, P3, P4, P5, and P6
Available
Official mark schemes
Official mark schemes
This public question bank contains teacher-selected questions for focused topical practice.
Papers
Cambridge 9709
Teacher-selected topical practice for 2020-2025, organised by chapter, difficulty, question style, and exam details.
Cambridge 9709
Teacher-selected topical practice for 2020-2025, organised by chapter, difficulty, question style, and exam details.
Cambridge 9709
Teacher-selected topical practice for 2020-2025, organised by chapter, difficulty, question style, and exam details.
Cambridge 9709
Teacher-selected topical practice for 2020-2025, organised by chapter, difficulty, question style, and exam details.
Cambridge 9709
Teacher-selected topical practice for 2020-2025, organised by chapter, difficulty, question style, and exam details.
160 of 640 questions
Question ID
9709_w20_13_Q1Paper 1 · 2020 · Oct/Nov · Variant 13 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
Complete square and graph transformation
Question style
Write quadratic in completed-square form and describe transformation from y=x²
Question ID
9709_s22_11_Q1Paper 1 · 2022 · May/June · Variant 11 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
Completing square and exact roots
Question style
Complete the square then solve a quadratic exactly
Question ID
9709_s23_12_Q3Paper 1 · 2023 · May/June · Variant 12 · 3 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
Completing square and no real roots
Question style
Use completed square/discriminant to find parameter range
Question ID
9709_s21_12_Q1Paper 1 · 2021 · May/June · Variant 12 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
Completing square and repeated root
Question style
Complete square and identify root when equation has exactly one root
Question ID
9709_w20_11_Q1Paper 1 · 2020 · Oct/Nov · Variant 11 · 3 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
Discriminant for no intersection
Question style
Find m values for line and quadratic not meeting
Question ID
9709_s25_15_Q3Paper 1 · 2025 · May/June · Variant 15 · 5 marks
Chapter
1.1 Quadratics
Difficulty
Easy
Skill type
Basic routine
Skill tested
completing square and trig substitution
Question style
solve quadratic exactly then use result in tangent equation
Question ID
9709_s24_11_Q1Paper 1 · 2024 · May/June · Variant 11 · 5 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Completing square and exact equation solving
Question style
Complete square and solve exact quadratic-style equation
Question ID
9709_w22_12_Q6Paper 1 · 2022 · Oct/Nov · Variant 12 · 9 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Completing square, solving and sketching quadratic
Question style
Complete square, solve a quadratic equation, and sketch with stationary point
Question ID
9709_w23_11_Q2Paper 1 · 2023 · Oct/Nov · Variant 11 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Discriminant decision for line-curve intersection
Question style
Use discriminant to decide statement about intersection
Question ID
9709_s20_11_Q5Paper 1 · 2020 · May/June · Variant 11 · 6 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Discriminant for line and reciprocal curve
Question style
Use discriminant to express tangent condition and intersection condition
Question ID
9709_s20_13_Q1Paper 1 · 2020 · May/June · Variant 13 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Discriminant for line-curve intersections
Question style
Find set of m for two distinct intersections between line and quadratic
Question ID
9709_w20_13_Q4Paper 1 · 2020 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Discriminant range for intersections
Question style
Find m values for two distinct intersections between line and curve
Question ID
9709_m23_12_Q1Paper 1 · 2023 · Feb/March · Variant 12 · 4 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Discriminant with line-curve intersection
Question style
Show intersection for all values of parameter using discriminant
Question ID
9709_s23_12_Q4Paper 1 · 2023 · May/June · Variant 12 · 3 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Equation quadratic in a function of x
Question style
Substitute u=x^3 and solve quadratic form
Question ID
9709_m24_12_Q7Paper 1 · 2024 · Feb/March · Variant 12 · 6 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
Tangency / discriminant
Question style
Line meets curve at a single point; use discriminant
Question ID
9709_w25_11_Q4Paper 1 · 2025 · Oct/Nov · Variant 11 · 6 marks
Chapter
1.1 Quadratics
Difficulty
Medium
Skill type
Standard application
Skill tested
complete square and graph transformation
Question style
convert quadratic form and interpret reflection/translation
Question ID
9709_w20_12_Q3Paper 1 · 2020 · Oct/Nov · Variant 12 · 5 marks
Chapter
1.1 Quadratics
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Discriminant proof for all parameters
Question style
Show line always intersects quadratic twice for all m
Question ID
9709_w24_12_Q9Paper 1 · 2024 · Oct/Nov · Variant 12 · 10 marks
Chapter
1.1 Quadratics
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Line-curve intersections with parameter
Question style
Find intersections and non-intersection condition
Question ID
9709_s22_12_Q5Paper 1 · 2022 · May/June · Variant 12 · 9 marks
Chapter
1.1 Quadratics
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Parameter curve-line intersection and tangency
Question style
Use roots/intersections to find parameters and tangent cases
Question ID
9709_w23_13_Q6Paper 1 · 2023 · Oct/Nov · Variant 13 · 7 marks
Chapter
1.1 Quadratics
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Tangent condition with parameter
Question style
Use tangent discriminant to find c and coordinates of contact
Question ID
9709_w21_13_Q1Paper 1 · 2021 · Oct/Nov · Variant 13 · 4 marks
Chapter
1.2 Functions
Difficulty
Medium
Skill type
Basic routine
Skill tested
Combined transformations in correct order
Question style
Describe transformation from y=f(x) to y=3-f(x)
Question ID
9709_w25_12_Q3Paper 1 · 2025 · Oct/Nov · Variant 12 · 5 marks
Chapter
1.2 Functions
Difficulty
Easy
Skill type
Basic routine
Skill tested
graph transformations
Question style
describe transformations and reverse transformation of graph equation
Question ID
9709_s21_12_Q5Paper 1 · 2021 · May/June · Variant 12 · 6 marks
Chapter
1.2 Functions
Difficulty
Medium
Skill type
Standard application
Skill tested
Composite quadratic function and equation
Question style
Form f(f(x)) for f(x)=2x^2+3 and solve equation
Question ID
9709_m21_12_Q5Paper 1 · 2021 · Feb/March · Variant 12 · 6 marks
Chapter
1.2 Functions
Difficulty
Medium
Skill type
Standard application
Skill tested
Graph transformations from diagram
Question style
Identify combined stretch/translation and write transformed graph in function notation
Question ID
9709_w22_13_Q5Paper 1 · 2022 · Oct/Nov · Variant 13 · 6 marks
Chapter
1.2 Functions
Difficulty
Medium
Skill type
Hidden concept
Skill tested
Circle transformations from diagram
Question style
Interpret translation and vertical stretch from transformed circle graph
Question ID
9709_w24_13_Q8Paper 1 · 2024 · Oct/Nov · Variant 13 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Completing square and inverse
Question style
Quadratic inverse, domain restriction and equation solving
Question ID
9709_w23_11_Q9Paper 1 · 2023 · Oct/Nov · Variant 11 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite and inverse functions with restricted domain
Question style
Complete square, domain restriction, composite and inverse
Question ID
9709_m24_12_Q9Paper 1 · 2024 · Feb/March · Variant 12 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite functions and range
Question style
Find parameter from range of composite functions; inverse-related expression
Question ID
9709_w20_11_Q11Paper 1 · 2020 · Oct/Nov · Variant 11 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite inverse and equation solving
Question style
Find fg, inverse of composite, and solve equation involving fg and gf
Question ID
9709_s21_13_Q8Paper 1 · 2021 · May/June · Variant 13 · 7 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite inverse function with restricted domains
Question style
Solve fg(x)=3 and find (fg)^{-1}(x)
Question ID
9709_w22_12_Q9Paper 1 · 2022 · Oct/Nov · Variant 12 · 8 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite/inverse function restrictions
Question style
Find composite, parameter, inverse composition, and explain invalid composite
Question ID
9709_w24_13_Q5Paper 1 · 2024 · Oct/Nov · Variant 13 · 8 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Graph transformations
Question style
Describe multiple transformations and write g in terms of f
Question ID
9709_s23_13_Q7Paper 1 · 2023 · May/June · Variant 13 · 8 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Rational inverse and composition
Question style
Find range, inverse/domain and composite rational expression
Question ID
9709_m25_12_Q11Paper 1 · 2025 · Feb/March · Variant 12 · 10 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
composition and inverse linkage
Question style
use inverse/composite condition with parameters then solve transformation/function equation
Question ID
9709_s25_12_Q11Paper 1 · 2025 · May/June · Variant 12 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
inverse and composite functions
Question style
complete square, inverse function and composite/domain constraints
Question ID
9709_w25_15_Q10Paper 1 · 2025 · Oct/Nov · Variant 15 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
inverse and composite functions
Question style
solve inverse value, derive inverse and compose with another function
Question ID
9709_w25_13_Q10Paper 1 · 2025 · Oct/Nov · Variant 13 · 9 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
quadratic range and inverse/composite
Question style
complete square, state range and solve parameter conditions
Question ID
9709_s25_13_Q11Paper 1 · 2025 · May/June · Variant 13 · 10 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
range of quadratic and composite function
Question style
use range condition to determine parameter and manipulate composite with cubic function
Question ID
9709_s25_11_Q10Paper 1 · 2025 · May/June · Variant 11 · 12 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
transformations and inverse/composite
Question style
sequence of graph transformations, inverse/compose and domain/range decisions
Question ID
9709_s25_15_Q9Paper 1 · 2025 · May/June · Variant 15 · 13 marks
Chapter
1.2 Functions
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
trigonometric graph transformations
Question style
describe transformations between cosine functions and solve graph/range implications
Question ID
9709_w25_15_Q1Paper 1 · 2025 · Oct/Nov · Variant 15 · 5 marks
Chapter
1.3 Coordinate geometry
Difficulty
Easy
Skill type
Basic routine
Skill tested
circle equation from centre/radius
Question style
write circle equation and solve coordinate on circle
Question ID
9709_m23_12_Q5Paper 1 · 2023 · Feb/March · Variant 12 · 6 marks
Chapter
1.3 Coordinate geometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Circle and line intersection
Question style
Use circle equation and line substitution to locate second point
Question ID
9709_s24_13_Q8Paper 1 · 2024 · May/June · Variant 13 · 8 marks
Chapter
1.3 Coordinate geometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Circle equation and tangent/line
Question style
Use circle form and line geometry
Question ID
9709_w23_13_Q2Paper 1 · 2023 · Oct/Nov · Variant 13 · 4 marks
Chapter
1.3 Coordinate geometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Circle intercepts and diameter circle
Question style
Find y-intercepts in surd form and circle with diameter
Question ID
9709_s21_11_Q10Paper 1 · 2021 · May/June · Variant 11 · 8 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Standard application
Skill tested
Circle intercepts and tangents at two points
Question style
Find x-intercepts and intersection of tangents to circle
Question ID
9709_w20_12_Q9Paper 1 · 2020 · Oct/Nov · Variant 12 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle and tangents from external point
Question style
Find circle, show a tangent, find other point of contact
Question ID
9709_s22_11_Q9Paper 1 · 2022 · May/June · Variant 11 · 10 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle and variable line intersection
Question style
Find circle centre/radius and set of k values for two intersections
Question ID
9709_s20_11_Q10Paper 1 · 2020 · May/June · Variant 11 · 11 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle from diameter, tangent, reflection
Question style
Find circle, tangent at endpoint, and reflected circle
Question ID
9709_w24_12_Q8Paper 1 · 2024 · Oct/Nov · Variant 12 · 10 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle parameter and tangent/normal
Question style
Complete square circle; tangent/normal at point
Question ID
9709_s23_12_Q10Paper 1 · 2023 · May/June · Variant 12 · 13 marks
Chapter
1.3 Coordinate geometry
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangent and parallel tangents
Question style
Use distance from centre to tangent and normals/tangents
Question ID
9709_s23_11_Q12Paper 1 · 2023 · May/June · Variant 11 · 8 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangent and surd coordinates
Question style
Find chord/tangent geometry with exact surd coordinates
Question ID
9709_s20_12_Q11Paper 1 · 2020 · May/June · Variant 12 · 11 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangent and tangent intersection
Question style
Find centre/radius, tangent at P, symmetric point Q, intersection of tangents
Question ID
9709_w21_12_Q12Paper 1 · 2021 · Oct/Nov · Variant 12 · 8 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangent intercepts and equilateral triangle area
Question style
Find tangent equation and triangle OAB area, then exact area of inscribed equilateral triangle
Question ID
9709_s24_12_Q7Paper 1 · 2024 · May/June · Variant 12 · 8 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangent with parameter
Question style
Use tangent condition and diameter equation
Question ID
9709_w23_11_Q11Paper 1 · 2023 · Oct/Nov · Variant 11 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Circle tangents with gradient
Question style
Find chord of contact and tangent point in surd form
Question ID
9709_s25_12_Q8Paper 1 · 2025 · May/June · Variant 12 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
circle, chord and tangent
Question style
circle-line intersection and area involving centre/chord geometry
Question ID
9709_w25_12_Q7Paper 1 · 2025 · Oct/Nov · Variant 12 · 11 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
diameter circle and tangent
Question style
circle from diameter, tangent at point and intersection/area extension
Question ID
9709_s25_11_Q6Paper 1 · 2025 · May/June · Variant 11 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
intersection of line and curve
Question style
solve simultaneous curve-line equations; parameter condition for intersections
Question ID
9709_s25_15_Q7Paper 1 · 2025 · May/June · Variant 15 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
parallelogram and gradient
Question style
use gradient, vector/parallelogram coordinates and line/circle linkage
Question ID
9709_s25_13_Q9Paper 1 · 2025 · May/June · Variant 13 · 9 marks
Chapter
1.3 Coordinate geometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
right-angle condition
Question style
use perpendicular gradients/dot-product style condition and circle implications
Question ID
9709_w25_13_Q5Paper 1 · 2025 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.4 Circular measure
Difficulty
Easy
Skill type
Basic routine
Skill tested
chord and arc geometry
Question style
use chord length to find angle, arc length and sector/segment area
Question ID
9709_w24_12_Q1Paper 1 · 2024 · Oct/Nov · Variant 12 · 5 marks
Chapter
1.4 Circular measure
Difficulty
Medium
Skill type
Standard application
Skill tested
Radian graph/sector context
Question style
Interpret radian-sector diagram and related measurements
Question ID
9709_w23_12_Q4Paper 1 · 2023 · Oct/Nov · Variant 12 · 6 marks
Chapter
1.4 Circular measure
Difficulty
Medium
Skill type
Standard application
Skill tested
Reuleaux-style coin
Question style
Find perimeter and area using equilateral triangle sectors
Question ID
9709_s23_13_Q6Paper 1 · 2023 · May/June · Variant 13 · 7 marks
Chapter
1.4 Circular measure
Difficulty
Medium
Skill type
Standard application
Skill tested
Sector area and segment perimeter
Question style
Use arc length and sector area to find radius/angle and segment measures
Question ID
9709_s20_12_Q7Paper 1 · 2020 · May/June · Variant 12 · 7 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Algebra/manipulation heavy
Skill tested
Exact sector-triangle geometry
Question style
Use cosine rule to prove exact length, then exact perimeter and area
Question ID
9709_w22_12_Q10Paper 1 · 2022 · Oct/Nov · Variant 12 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Cross-section from two circular sectors
Question style
Find perimeter and areas from overlapping sector/triangle geometry
Question ID
9709_w20_11_Q10Paper 1 · 2020 · Oct/Nov · Variant 11 · 10 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Inscribed circle in a sector
Question style
Find sector radius in terms of small circle radius and calculate perimeter/area
Question ID
9709_w22_13_Q8Paper 1 · 2022 · Oct/Nov · Variant 13 · 7 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Intersecting equal circles shaded region
Question style
Find perimeter and area of lens-like shaded region in terms of r
Question ID
9709_w20_12_Q8Paper 1 · 2020 · Oct/Nov · Variant 12 · 7 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Isosceles triangle and sector
Question style
Express shaded area and calculate perimeter from triangle-sector construction
Question ID
9709_m21_12_Q10Paper 1 · 2021 · Feb/March · Variant 12 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hidden concept
Skill tested
Sector area divided by chord/triangle
Question style
Set sector area equal to twice triangle area and solve inequality for parameter k
Question ID
9709_s24_11_Q7Paper 1 · 2024 · May/June · Variant 11 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite arcs and shaded area
Question style
Use radians, arc length, perimeter and area in a composite shape
Question ID
9709_w24_12_Q6Paper 1 · 2024 · Oct/Nov · Variant 12 · 6 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite circular plate
Question style
Use perimeter and area equations with radii and angles
Question ID
9709_s21_11_Q8Paper 1 · 2021 · May/June · Variant 11 · 10 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite circular plate: arcs and semicircles
Question style
Use symmetry, sector angles, arc lengths and areas to find exact perimeter/area
Question ID
9709_w24_13_Q7Paper 1 · 2024 · Oct/Nov · Variant 13 · 10 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Composite sector/semicircle area
Question style
Find plate area and related sector geometry
Question ID
9709_s21_12_Q12Paper 1 · 2021 · May/June · Variant 12 · 11 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Rope around seven equal circles
Question style
Use sectors/arcs, hexagon geometry and enclosed area for packed pipes
Question ID
9709_w23_13_Q10Paper 1 · 2023 · Oct/Nov · Variant 13 · 9 marks
Chapter
1.4 Circular measure
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Two-arc shaded region
Question style
Use sector and triangle subtraction for area in terms of r
Question ID
9709_s25_11_Q9Paper 1 · 2025 · May/June · Variant 11 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
sector and triangle relationship
Question style
use sector/triangle areas to find angle and area/perimeter
Question ID
9709_w25_11_Q7Paper 1 · 2025 · Oct/Nov · Variant 11 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
sector segment area
Question style
derive shaded area formula and evaluate with radians
Question ID
9709_s25_13_Q8Paper 1 · 2025 · May/June · Variant 13 · 8 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
sector within square
Question style
arc length/sector area from square geometry
Question ID
9709_w25_12_Q10Paper 1 · 2025 · Oct/Nov · Variant 12 · 9 marks
Chapter
1.4 Circular measure
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
two-circle/rhombus geometry
Question style
derive relation between radii and calculate shaded area/perimeter
Question ID
9709_s25_12_Q5Paper 1 · 2025 · May/June · Variant 12 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Easy
Skill type
Basic routine
Skill tested
cosine graph and intersections
Question style
range, sketch and number of solutions from graph-line comparison
Question ID
9709_s22_13_Q5Paper 1 · 2022 · May/June · Variant 13 · 7 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Algebraic substitution into tangent equation
Question style
Solve auxiliary equation then transfer solutions to tan x
Question ID
9709_w21_12_Q1Paper 1 · 2021 · Oct/Nov · Variant 12 · 4 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Cosine equation reducible to quadratic
Question style
Solve equation involving cos x and 1/cos x over restricted interval
Question ID
9709_s20_11_Q4Paper 1 · 2020 · May/June · Variant 11 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Cosine graph range and transformations
Question style
Find range, vertical shift making x-axis tangent, and reflection equation
Question ID
9709_s24_13_Q4Paper 1 · 2024 · May/June · Variant 13 · 6 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Equation rearrangement and solving
Question style
Show trig equation form and solve interval
Question ID
9709_s20_12_Q2Paper 1 · 2020 · May/June · Variant 12 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Equation reducible to quadratic in sin
Question style
Convert 3cosθ=8tanθ into a quadratic in sinθ and solve acute angle
Question ID
9709_s24_12_Q3Paper 1 · 2024 · May/June · Variant 12 · 6 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Equation transformation and solving
Question style
Convert equation to quadratic in sin and solve interval
Question ID
9709_w22_13_Q6Paper 1 · 2022 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Standard application
Skill tested
Exact trig values from inverse cosine
Question style
Use right-triangle identity to find exact expression without calculator
Question ID
9709_w20_13_Q3Paper 1 · 2020 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Algebra/manipulation heavy
Skill tested
Equation quadratic in tan²
Question style
Solve equation involving tan² and reciprocal of tan²
Question ID
9709_s20_13_Q7Paper 1 · 2020 · May/June · Variant 13 · 8 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Algebra/manipulation heavy
Skill tested
Identity proof and equation solving
Question style
Prove rational trig identity then solve using it over degree interval
Question ID
9709_s20_11_Q7Paper 1 · 2020 · May/June · Variant 11 · 6 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Algebra/manipulation heavy
Skill tested
Identity proof then solve
Question style
Prove expression simplifies, then use result to solve over 0 to 2π
Question ID
9709_w21_11_Q5Paper 1 · 2021 · Oct/Nov · Variant 11 · 5 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Hidden concept
Skill tested
Cosine graph and solution-count reasoning
Question style
Read a,b,c and count intersections with straight lines
Question ID
9709_w20_11_Q4Paper 1 · 2020 · Oct/Nov · Variant 11 · 3 marks
Chapter
1.5 Trigonometry
Difficulty
Medium
Skill type
Hidden concept
Skill tested
Cosine graph equation from transformed graph
Question style
Find equation of upper curve in terms of cosine
Question ID
9709_w20_12_Q11Paper 1 · 2020 · Oct/Nov · Variant 12 · 11 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Cosine graph, intersections and transformations
Question style
Find extrema, sketch graph, count intersections with y=kx, describe transformations
Question ID
9709_s23_12_Q7Paper 1 · 2023 · May/June · Variant 12 · 11 marks
Chapter
1.5 Trigonometry
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Trig identities and equation solving
Question style
Verify identity then use earlier solutions to solve equation
Question ID
9709_w25_15_Q6Paper 1 · 2025 · Oct/Nov · Variant 15 · 7 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
equation reduction then solve
Question style
transform trig equation to quadratic in cos and solve interval
Question ID
9709_w25_11_Q5Paper 1 · 2025 · Oct/Nov · Variant 11 · 7 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
identity then equation
Question style
prove identity and solve derived trig equation
Question ID
9709_s25_12_Q7Paper 1 · 2025 · May/June · Variant 12 · 7 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
identity then equation
Question style
prove identity and solve equation in interval
Question ID
9709_m25_12_Q7Paper 1 · 2025 · Feb/March · Variant 12 · 7 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
identity then equation
Question style
prove trig identity and solve derived equation over interval
Question ID
9709_w25_12_Q6Paper 1 · 2025 · Oct/Nov · Variant 12 · 9 marks
Chapter
1.5 Trigonometry
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
sine graph and equation count
Question style
sketch sine graph and count/solve intersections in interval
Question ID
9709_s25_15_Q2Paper 1 · 2025 · May/June · Variant 15 · 5 marks
Chapter
1.6 Series
Difficulty
Easy
Skill type
Basic routine
Skill tested
binomial coefficient relation
Question style
compare coefficients in product of binomial expansions
Question ID
9709_s24_11_Q8Paper 1 · 2024 · May/June · Variant 11 · 8 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
AP and GP from first three terms
Question style
Parameter in progression terms; sum to infinity
Question ID
9709_w25_13_Q4Paper 1 · 2025 · Oct/Nov · Variant 13 · 6 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
AP and GP from shared terms
Question style
analyse progression terms under AP and GP assumptions
Question ID
9709_w21_11_Q4Paper 1 · 2021 · Oct/Nov · Variant 11 · 6 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
AP and GP linked by sum
Question style
Equate GP sum to infinity with AP partial sum, then find zero term
Question ID
9709_s24_13_Q7Paper 1 · 2024 · May/June · Variant 13 · 7 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
Arithmetic progression
Question style
Use term/sum information to solve AP problem
Question ID
9709_w22_12_Q2Paper 1 · 2022 · Oct/Nov · Variant 12 · 5 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
Arithmetic progression terms and sum
Question style
Determine a and d from first three AP terms and find S50
Question ID
9709_m24_12_Q6Paper 1 · 2024 · Feb/March · Variant 12 · 5 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
Binomial coefficient
Question style
Use binomial coefficients to find an unknown parameter
Question ID
9709_w23_12_Q1Paper 1 · 2023 · Oct/Nov · Variant 12 · 4 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
Binomial coefficient comparison
Question style
Compare coefficients from two binomial expansions
Question ID
9709_s21_11_Q3Paper 1 · 2021 · May/June · Variant 11 · 6 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
Binomial expansion and product coefficient
Question style
Expand (3-2x)^5 and combine with (4+x)^2 for coefficient x^2
Question ID
9709_m25_12_Q5Paper 1 · 2025 · Feb/March · Variant 12 · 6 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
arithmetic progression
Question style
sum of AP terms satisfying a range condition
Question ID
9709_m25_12_Q8Paper 1 · 2025 · Feb/March · Variant 12 · 7 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
geometric progression
Question style
use second term and sum to infinity, then remove first terms
Question ID
9709_s25_11_Q3Paper 1 · 2025 · May/June · Variant 11 · 7 marks
Chapter
1.6 Series
Difficulty
Medium
Skill type
Standard application
Skill tested
geometric progression
Question style
use term and partial sum to determine GP and exact/inexact term
Question ID
9709_s25_15_Q6Paper 1 · 2025 · May/June · Variant 15 · 8 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
AP and GP comparison in context
Question style
compare arithmetic and geometric gift sequences
Question ID
9709_s25_12_Q10Paper 1 · 2025 · May/June · Variant 12 · 10 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
AP and GP hybrid
Question style
AP terms involving parameter then related GP/sum to infinity
Question ID
9709_w24_11_Q10Paper 1 · 2024 · Oct/Nov · Variant 11 · 8 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
AP and GP linked problem
Question style
AP terms form GP; compare sums
Question ID
9709_w25_12_Q8Paper 1 · 2025 · Oct/Nov · Variant 12 · 11 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
AP-GP linked terms
Question style
derive relation between AP and GP terms and solve ratio/sum problem
Question ID
9709_w24_13_Q6Paper 1 · 2024 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Geometric progression sums
Question style
Relate partial sums and sum to infinity
Question ID
9709_s24_12_Q5Paper 1 · 2024 · May/June · Variant 12 · 9 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Progressions with trigonometric terms
Question style
AP/GP involving sin and tan values
Question ID
9709_w25_11_Q9Paper 1 · 2025 · Oct/Nov · Variant 11 · 8 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
arithmetic progression and derived AP
Question style
use AP sums as terms of another progression
Question ID
9709_s25_13_Q2Paper 1 · 2025 · May/June · Variant 13 · 4 marks
Chapter
1.6 Series
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
geometric progression with trigonometry
Question style
use trig terms in GP and sum to infinity
Question ID
9709_w21_13_Q3Paper 1 · 2021 · Oct/Nov · Variant 13 · 5 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Completing square and monotonicity from derivative
Question style
Complete square then use derivative sign to determine increasing/decreasing
Question ID
9709_m20_12_Q4Paper 1 · 2020 · Feb/March · Variant 12 · 4 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Connected rates of change on a curve
Question style
Given dy/dt and dx/dt, find coordinate using dy/dt=(dy/dx)(dx/dt)
Question ID
9709_s20_13_Q6Paper 1 · 2020 · May/June · Variant 13 · 7 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Connected rates on square-root curve
Question style
Find dy/dt and solve for x when dy/dt has given value
Question ID
9709_s23_11_Q9Paper 1 · 2023 · May/June · Variant 11 · 6 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Connected rates with volume formula
Question style
Differentiate volume-depth relation and solve inverse rate problem
Question ID
9709_w22_12_Q8Paper 1 · 2022 · Oct/Nov · Variant 12 · 7 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Curve from derivative and monotonicity
Question style
Integrate derivative to find curve, then find stationary point and increasing interval
Question ID
9709_w24_12_Q3Paper 1 · 2024 · Oct/Nov · Variant 12 · 5 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Curve points and gradients
Question style
Differentiate to use tangent/point information
Question ID
9709_s24_12_Q9Paper 1 · 2024 · May/June · Variant 12 · 8 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Decreasing interval and reverse differentiation
Question style
Use derivative to classify decreasing interval and recover f(x)
Question ID
9709_s22_12_Q9Paper 1 · 2022 · May/June · Variant 12 · 7 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Derivatives and stationary point of rational expression
Question style
Find first/second derivative and classify stationary point
Question ID
9709_w20_11_Q6Paper 1 · 2020 · Oct/Nov · Variant 11 · 5 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Gradient of square-root curve
Question style
Find coordinate where gradient has specified value
Question ID
9709_w24_11_Q2Paper 1 · 2024 · Oct/Nov · Variant 11 · 4 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Stationary point with parameter
Question style
Use derivative/stationary point to find parameter
Question ID
9709_s24_13_Q5Paper 1 · 2024 · May/June · Variant 13 · 7 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Standard application
Skill tested
Stationary points and nature
Question style
Differentiate curve and classify stationary points
Question ID
9709_s21_12_Q3Paper 1 · 2021 · May/June · Variant 12 · 4 marks
Chapter
1.7 Differentiation
Difficulty
Easy
Skill type
Hidden concept
Skill tested
Gradient as limiting chord gradient
Question style
Use chord gradients approaching a point to infer curve gradient
Question ID
9709_s24_11_Q4Paper 1 · 2024 · May/June · Variant 11 · 3 marks
Chapter
1.7 Differentiation
Difficulty
Medium
Skill type
Hidden concept
Skill tested
Gradient from first principles idea
Question style
Use chord gradients to deduce derivative value
Question ID
9709_s24_11_Q11Paper 1 · 2024 · May/June · Variant 11 · 13 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Increasing/decreasing and tangents/normals
Question style
Find decreasing interval; tangent/normal triangle area
Question ID
9709_s21_13_Q11Paper 1 · 2021 · May/June · Variant 13 · 11 marks
Chapter
1.7 Differentiation
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Parametric constant in curve, minimum, tangent intercept and area
Question style
Differentiate/integrate x^{1/2}+k^2x^{-1/2}, find min, tangent, area
Question ID
9709_w25_11_Q11Paper 1 · 2025 · Oct/Nov · Variant 11 · 11 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
normal and rate of change of gradient
Question style
use second derivative/integration context for normal and curve behaviour
Question ID
9709_s25_15_Q8Paper 1 · 2025 · May/June · Variant 15 · 11 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
stationary points and cubic curve
Question style
find parameters from stationary point and locate other stationary point
Question ID
9709_s25_13_Q10Paper 1 · 2025 · May/June · Variant 13 · 11 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
stationary points and graph transformation
Question style
differentiate, classify stationary points and apply curve transformation
Question ID
9709_w25_15_Q11Paper 1 · 2025 · Oct/Nov · Variant 15 · 14 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
tangent and area/volume hybrid
Question style
form tangent at point and use calculus for region/area/volume extension
Question ID
9709_w25_13_Q11Paper 1 · 2025 · Oct/Nov · Variant 13 · 13 marks
Chapter
1.7 Differentiation
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
tangent intersection and stationary analysis
Question style
differentiate complex curve, tangent-line intersection and classify stationary points
Question ID
9709_s25_15_Q4Paper 1 · 2025 · May/June · Variant 15 · 5 marks
Chapter
1.8 Integration
Difficulty
Easy
Skill type
Basic routine
Skill tested
volume of revolution
Question style
set up volume integral about x-axis for bounded region
Question ID
9709_w24_13_Q9Paper 1 · 2024 · Oct/Nov · Variant 13 · 7 marks
Chapter
1.8 Integration
Difficulty
Medium
Skill type
Standard application
Skill tested
Area between two curves
Question style
Intersection points then area between curves
Question ID
9709_w24_11_Q7Paper 1 · 2024 · Oct/Nov · Variant 11 · 8 marks
Chapter
1.8 Integration
Difficulty
Medium
Skill type
Standard application
Skill tested
Area under curve
Question style
Find area bounded by curve and vertical lines
Question ID
9709_s23_12_Q5Paper 1 · 2023 · May/June · Variant 12 · 4 marks
Chapter
1.8 Integration
Difficulty
Medium
Skill type
Standard application
Skill tested
Area under curve with fractional powers
Question style
Integrate fractional power curve over given interval
Question ID
9709_s24_13_Q9Paper 1 · 2024 · May/June · Variant 13 · 8 marks
Chapter
1.8 Integration
Difficulty
Medium
Skill type
Standard application
Skill tested
Area under/between curves
Question style
Find area of shaded region from curves
Question ID
9709_s24_13_Q6Paper 1 · 2024 · May/June · Variant 13 · 7 marks
Chapter
1.8 Integration
Difficulty
Medium
Skill type
Standard application
Skill tested
Reverse differentiation
Question style
Integrate derivative using a point condition
Question ID
9709_m24_12_Q11Paper 1 · 2024 · Feb/March · Variant 12 · 11 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Area between curve and line
Question style
Stationary point then area bounded by curve and chord
Question ID
9709_w20_11_Q12Paper 1 · 2020 · Oct/Nov · Variant 11 · 12 marks
Chapter
1.8 Integration
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Area between curve and line with stationary point
Question style
Find intersections, show stationary point, calculate shaded area
Question ID
9709_w22_11_Q10Paper 1 · 2022 · Oct/Nov · Variant 11 · 10 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Area between curves and angle between tangents
Question style
Integrate between two curves and use derivatives to find angle between tangents
Question ID
9709_w21_13_Q8Paper 1 · 2021 · Oct/Nov · Variant 13 · 10 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Area between curves and normal to fractional-power curve
Question style
Integrate difference of two curves and find normal intercept
Question ID
9709_s23_13_Q10Paper 1 · 2023 · May/June · Variant 13 · 12 marks
Chapter
1.8 Integration
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Area between line/curve with normal verification
Question style
Find maximum, verify normal, integrate shaded area
Question ID
9709_w23_12_Q9Paper 1 · 2023 · Oct/Nov · Variant 12 · 9 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Area between radical curves
Question style
Find intersections and integrate fractional powers
Question ID
9709_w23_11_Q8Paper 1 · 2023 · Oct/Nov · Variant 11 · 9 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
Area between two curves by substitution
Question style
Find intersections with substitution and exact enclosed area
Question ID
9709_m23_12_Q11Paper 1 · 2023 · Feb/March · Variant 12 · 11 marks
Chapter
1.8 Integration
Difficulty
Very Hard
Skill type
Hybrid/challenge
Skill tested
Volume of revolution about y-axis
Question style
Set up line and curve in terms of y; integrate volume difference
Question ID
9709_m25_12_Q10Paper 1 · 2025 · Feb/March · Variant 12 · 9 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
area/volume with tangent
Question style
interpret curve, tangent and bounded regions; set up definite integrals
Question ID
9709_m25_12_Q9Paper 1 · 2025 · Feb/March · Variant 12 · 9 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
curve from derivative
Question style
use derivative to classify stationary point and integrate to find equation
Question ID
9709_w25_12_Q5Paper 1 · 2025 · Oct/Nov · Variant 12 · 8 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
stationary point and area
Question style
use maximum point and x-intercept to find shaded area
Question ID
9709_s25_12_Q9Paper 1 · 2025 · May/June · Variant 12 · 12 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
stationary points from derivative
Question style
use derivative expression, integrate and classify stationary points
Question ID
9709_w25_15_Q8Paper 1 · 2025 · Oct/Nov · Variant 15 · 7 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
volume between x=a and x=2a
Question style
integrate volume of revolution and solve for parameter relation
Question ID
9709_w25_13_Q9Paper 1 · 2025 · Oct/Nov · Variant 13 · 8 marks
Chapter
1.8 Integration
Difficulty
Hard
Skill type
Hybrid/challenge
Skill tested
volume of revolution exact
Question style
set up exact volume integral for rotated region