11 year papers

Geometry CDS PYQ Topic Wise (2016–2026)

Geometry CDS PYQs: all 336 questions from 66 official papers (2016–2026), by concept with official answers. Asked in 11 of 11 years.

Updated2 min read
Full name
Combined Defence Services Examination
Conducted by
Union Public Service Commission
Frequency
Twice a year (CDS I & II, as notified)
Sections
English · General Knowledge · Elementary Mathematics
Official site
upsc.gov.in ↗

Explore: All CDS topics · CDS Elementary Mathematics PYQs · CDS hub · Syllabus & pattern · CDS 2026

Answer first

Geometry PYQs (previous year questions) for CDS: Geometry (Elementary Mathematics) had 336 questions across the 66 official CDS papers we tagged (2016–2026), and appeared in 22 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Triangles, Circles, Similar Triangles.

Year-wise question count

Asked in 11 of 11 years, with 2 papers each year.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

ConceptQuestionsPapersYears
Triangles104222026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017, 2016
Circles83212026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017, 2016
Similar Triangles22112026, 2025, 2024, 2022, 2021, 2019, 2018, 2017, 2016
Quadrilaterals20112026, 2024, 2022, 2021, 2020, 2018, 2017, 2016
Polygons13102025, 2024, 2022, 2020, 2018, 2017, 2016
Right Triangles1162020, 2019, 2018
Lines and Angles962025, 2020, 2018, 2017, 2016
Tangents762025, 2020, 2019, 2017, 2016
Pythagoras Theorem652025, 2020, 2019, 2018
Data Sufficiency2042026, 2025, 2024
Parallel Lines432020, 2019, 2018
Triangle Centres432019, 2017, 2016
Medians332025, 2020, 2019
Chords of a Circle322020, 2019
Congruence322018, 2017
Locus322018
Parallelograms322020, 2019
Angle Bisector222020, 2019
Circumcircle222020, 2019
Cyclic Quadrilaterals222020, 2019
Trapezium222020, 2019
Angle Bisector Theorem212025
Tangent Circles212020
Centroid112019
Distance112016
Incircle112025
Line Segments112018
Mid-point Theorem112019
Triangle Inequality112019

How to practise Geometry PYQs

  1. Start with the concepts at the top of the table. They have come back the most.
  2. Solve one year’s Geometry questions from the official PDF against the clock, then check the answer listed below.
  3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
  4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.

CDS2026

  • Q.36 (CDS (I) Maths) · MCQ · Triangles: Length BP in a right triangle with an extended side PDF
  • Q.46 (CDS (I) Maths) · MCQ · Circles: Properties of a cyclic quadrilateral whose diagonal bisects an angle PDF
  • Q.48 (CDS (I) Maths) · MCQ · Triangles: Statements on an isosceles triangle with a point on its base PDF
  • Q.49 (CDS (I) Maths) · MCQ · Triangles: Statements on the altitude to the hypotenuse of a right triangle PDF
  • Q.50 (CDS (I) Maths) · MCQ · Triangles: Square inscribed in an equilateral triangle, ratio statements PDF
  • Q.52 (CDS (I) Maths) · MCQ · Circles: Central angle from an inscribed angle of 153 degrees PDF
  • Q.53 (CDS (I) Maths) · MCQ · Quadrilaterals: Area of triangle BCD from diagonal ratio and area of ABD PDF
  • Q.54 (CDS (I) Maths) · MCQ · Quadrilaterals: Length BD in a parallelogram from a midpoint intersection PDF
  • Q.55 (CDS (I) Maths) · MCQ · Triangles: Perimeter of a right triangle from a median length PDF
  • Q.56 (CDS (I) Maths) · MCQ · Triangles: Hypotenuse of a right triangle from trisecting segments PDF
  • Q.57 (CDS (I) Maths) · MCQ · Triangles: Statements on a right triangle with given side expressions PDF
  • Q.59 (CDS (I) Maths) · MCQ · Quadrilaterals: Cyclic nature and triangle area in a quadrilateral with given sides PDF
  • Q.63 (CDS (I) Maths) · MCQ · Circles: Central angle from the tangent-chord angle at P PDF
  • Q.64 (CDS (I) Maths) · MCQ · Circles: Similarity statements for a cyclic quadrilateral with produced sides PDF
  • Q.65 (CDS (I) Maths) · MCQ · Circles: Triangle areas formed with two parallel chords of a circle PDF
  • Q.67 (CDS (I) Maths) · MCQ · Triangles: AC + BD for two right triangles on a common hypotenuse PDF
  • Q.68 (CDS (I) Maths) · MCQ · Triangles: BD × DC when an angle bisector meets the opposite side PDF
  • Q.71 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency for the inradius of an equilateral triangle PDF
  • Q.72 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency for an angle sum in a quadrilateral with AD = BC PDF
  • Q.73 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on side ratios when a diagonal bisects two angles PDF
  • Q.74 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on whether the midpoint quadrilateral of a rhombus is cyclic PDF
  • Q.75 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency for difference of radii of touching circles PDF
  • Q.51 (CDS (II) Maths) · MCQ · Circles: Sum of two angles of a cyclic quadrilateral given in x and y PDF
  • Q.57 (CDS (II) Maths) · MCQ · Circles: Diameter of a circle from a chord and segment height PDF
  • Q.61 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency for sum of squares of a rhombus's diagonals PDF
  • Q.62 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency for the perimeter of a rectangle with given diagonal PDF
  • Q.63 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency for BD × CD in a right triangle with altitude PDF
  • Q.64 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency for the circumdiameter of a cyclic quadrilateral PDF
  • Q.65 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency for a sum of squares in a semicircle PDF
  • Q.67 (CDS (II) Maths) · MCQ · Triangles: Area ratio of triangles formed by a bisector of a 120° angle PDF
  • Q.68 (CDS (II) Maths) · MCQ · Similar Triangles: Statements on area ratios of similar triangles PDF
  • Q.69 (CDS (II) Maths) · MCQ · Similar Triangles: Statements on similar scalene triangles with equal area PDF
  • Q.70 (CDS (II) Maths) · MCQ · Similar Triangles: AD × BD when DE is parallel to BC and BC = 5DE PDF
  • Q.72 (CDS (II) Maths) · MCQ · Quadrilaterals: Perimeter of a square from the area of an inner triangle PDF
  • Q.74 (CDS (II) Maths) · MCQ · Triangles: AC² - BD² using the angle bisector theorem PDF
  • Q.75 (CDS (II) Maths) · MCQ · Triangles: Area of the largest square inscribed in an equilateral triangle PDF
  • Q.78 (CDS (II) Maths) · MCQ · Quadrilaterals: Possible perimeters of an integer-sided parallelogram PDF
  • Q.80 (CDS (II) Maths) · MCQ · Quadrilaterals: Area of a quadrilateral with two right angles and integer sides PDF
  • Q.81 (CDS (II) Maths) · MCQ · Circles: Perimeter range of a triangle around a circle touching two sides PDF
  • Q.82 (CDS (II) Maths) · MCQ · Circles: Area range of the triangle in the same circle setup PDF
  • Q.83 (CDS (II) Maths) · MCQ · Circles: Statements on an angle and a distance in the same setup PDF
  • Q.84 (CDS (II) Maths) · MCQ · Circles: Ratio AD : DB for a circle through a vertex touching the base PDF
  • Q.85 (CDS (II) Maths) · MCQ · Circles: Range of ratio of circle area to triangle area PDF
  • Q.86 (CDS (II) Maths) · MCQ · Circles: Ratio of triangle ADO to quadrilateral BDOM PDF
  • Q.87 (CDS (II) Maths) · MCQ · Triangles: Ratio of squared lengths from perpendiculars in an equilateral triangle PDF
  • Q.88 (CDS (II) Maths) · MCQ · Triangles: Ratio of areas of two small triangles in the same figure PDF
  • Q.89 (CDS (II) Maths) · MCQ · Triangles: Ratio QT : QO with the orthocentre of an isosceles triangle PDF
  • Q.90 (CDS (II) Maths) · MCQ · Triangles: Ratio QO : OM with the orthocentre of the isosceles triangle PDF

CDS2025

  • Q.11 (CDS (I) Maths) · MCQ · Pythagoras Theorem: Distance from a lamp top to the corner of two walls PDF
  • Q.12 (CDS (I) Maths) · MCQ · Circles: Product AE × EB for a point on a chord of a circle PDF
  • Q.13 (CDS (I) Maths) · MCQ · Circles: Radius of a spherical bowl from water depth and surface radius PDF
  • Q.14 (CDS (I) Maths) · MCQ · Angle Bisector Theorem: Ratio AE : ED where two angle bisectors meet PDF
  • Q.15 (CDS (I) Maths) · MCQ · Angle Bisector Theorem: Length of AC from bisector ratio and AB + AC PDF
  • Q.18 (CDS (I) Maths) · MCQ · Triangles: Angle B from the angle between bisectors of A and C PDF
  • Q.38 (CDS (I) Maths) · MCQ · Pythagoras Theorem: Find x from a path east, south, west and north with PR given PDF
  • Q.54 (CDS (I) Maths) · MCQ · Incircle: Inradius of a right triangle PDF
  • Q.55 (CDS (I) Maths) · MCQ · Tangents: Length of direct common tangent of two touching circles PDF
  • Q.57 (CDS (I) Maths) · MCQ · Triangles: Ratio of sides from ratio of altitudes PDF
  • Q.60 (CDS (I) Maths) · MCQ · Circles: Angle between centre-to-rim line and the vertical axis of a pot PDF
  • Q.65 (CDS (I) Maths) · MCQ · Triangles: Length of perpendicular from right angle to hypotenuse PDF
  • Q.66 (CDS (I) Maths) · MCQ · Similar Triangles: Ratio of areas of triangles formed by the altitude PDF
  • Q.74 (CDS (I) Maths) · MCQ · Medians: Sum of squares of medians of a triangle with given sides PDF
  • Q.61 (CDS (II) Maths) · MCQ · Triangles: Length of BC from sums and differences of sides and segments (official answer: C) PDF
  • Q.63 (CDS (II) Maths) · MCQ · Triangles: Medians from mid-points in a right-angled triangle (official answer: C) PDF
  • Q.65 (CDS (II) Maths) · MCQ · Circles: Length of chord AP when P is the midpoint of an arc (official answer: D) PDF
  • Q.66 (CDS (II) Maths) · MCQ · Similar Triangles: Height of intersection of lines joining tops and feet of two poles (official answer: C) PDF
  • Q.67 (CDS (II) Maths) · MCQ · Triangles: Area of a right triangle given perimeter and leg-sum excess (official answer: D) PDF
  • Q.68 (CDS (II) Maths) · MCQ · Triangles: Distance between tips of two poles of different heights (official answer: B) PDF
  • Q.69 (CDS (II) Maths) · MCQ · Triangles: Statements about the midpoint triangle and parallelograms (official answer: C) PDF
  • Q.70 (CDS (II) Maths) · MCQ · Polygons: Which angles can be exterior angles of a regular polygon (official answer: D) PDF
  • Q.72 (CDS (II) Maths) · MCQ · Triangles: Length of altitude to hypotenuse in a right triangle (official answer: C) PDF
  • Q.73 (CDS (II) Maths) · MCQ · Polygons: Sides of a regular polygon from interior-exterior angle difference (official answer: D) PDF
  • Q.74 (CDS (II) Maths) · MCQ · Lines and Angles: Angle that is one-fourth of its complement (official answer: C) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: whether an angle of a triangle is acute (official answer: D) PDF
  • Q.85 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: measure in a right triangle with given hypotenuse (official answer: D) PDF
  • Q.87 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: intersecting chords of a circle (official answer: D) PDF
  • Q.88 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: quadrilateral with given sides (official answer: B) PDF
  • Q.89 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: isosceles triangle with equal sides 10 (official answer: A) PDF
  • Q.90 (CDS (II) Maths) · MCQ · Data Sufficiency: Data sufficiency: rhombus with diagonals in ratio 5:12 (official answer: D) PDF

CDS2024

  • Q.6 (CDS (I) Maths) · MCQ · Polygons: Number of sides from the gap between interior and exterior angles (official answer: D) PDF
  • Q.13 (CDS (I) Maths) · MCQ · Triangles: Perimeter of the square inscribed in a right triangle (official answer: B) PDF
  • Q.41 (CDS (I) Maths) · MCQ · Triangles: Difference in areas of two triangles formed by an altitude (official answer: B) PDF
  • Q.48 (CDS (I) Maths) · MCQ · Quadrilaterals: Range of a diagonal of a quadrilateral with given sides (official answer: B) PDF
  • Q.49 (CDS (I) Maths) · MCQ · Circles: Radius of a circle inscribed in a quarter circle (official answer: A) PDF
  • Q.65 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on the type of triangle from its sides (official answer: B) PDF
  • Q.67 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on the perimeter of a quadrilateral with incircle (official answer: B) PDF
  • Q.68 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on the ratio of diagonals of a rhombus (official answer: B) PDF
  • Q.69 (CDS (I) Maths) · MCQ · Data Sufficiency: Data sufficiency on radii of concentric circles with a tangent chord (official answer: C) PDF
  • Q.81 (CDS (I) Maths) · MCQ · Similar Triangles: Length of MN between two parallel segments (official answer: D) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Similar Triangles: Ratio of areas of two quadrilaterals between parallel segments (official answer: C) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Circles: AB + BC for a right triangle with inscribed circles (official answer: D) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Circles: Radius of a circle touching another circle and two sides (official answer: D) PDF
  • Q.90 (CDS (I) Maths) · MCQ · Circles: Radius of a second circle touching a circle and sides (official answer: C) PDF
  • Q.94 (CDS (I) Maths) · MCQ · Circles: Side of an equilateral triangle related to a circle of area 9π (official answer: B) PDF
  • Q.27 (CDS (II) Maths) · MCQ · Triangles: Relation between angles when AB·DC = AC·BD in a triangle PDF
  • Q.32 (CDS (II) Maths) · MCQ · Triangles: Sign of a product of side expressions for a right triangle PDF
  • Q.51 (CDS (II) Maths) · MCQ · Triangles: Value in a right triangle with P the midpoint of BC PDF
  • Q.53 (CDS (II) Maths) · MCQ · Triangles: Statements on area and perimeter of triangle APC PDF
  • Q.57 (CDS (II) Maths) · MCQ · Triangles: Length of the perpendicular from B to the hypotenuse PDF
  • Q.58 (CDS (II) Maths) · MCQ · Circles: Distance from centre to a chord of length 16 in a circle of radius 10 PDF
  • Q.59 (CDS (II) Maths) · MCQ · Circles: Length of the tangent PM from the external point PDF
  • Q.60 (CDS (II) Maths) · MCQ · Circles: Area of triangle OMN formed by a chord and centre PDF
  • Q.84 (CDS (II) Maths) · MCQ · Circles: Radius from the area of a circle around three identical circles PDF
  • Q.93 (CDS (II) Maths) · MCQ · Circles: Area of the circle through vertices of three touching cones PDF
  • Q.94 (CDS (II) Maths) · MCQ · Circles: Radius of the incircle of a triangle PDF
  • Q.95 (CDS (II) Maths) · MCQ · Polygons: Interior angle from the ratio of interior to exterior angle sums PDF
  • Q.100 (CDS (II) Maths) · MCQ · Triangles: Length of AB in a right triangle with an altitude PDF

CDS2023

  • Q.29 (CDS (I) Maths) · MCQ · Triangles: Sign of an expression in square roots of triangle sides (official answer: B) PDF
  • Q.56 (CDS (I) Maths) · MCQ · Triangles: Perpendicular from the right angle to the hypotenuse in a 5-12-13 triangle (official answer: C) PDF
  • Q.57 (CDS (I) Maths) · MCQ · Circles: Radius of a circle through three vertices of a rhombus (official answer: C) PDF
  • Q.70 (CDS (I) Maths) · MCQ · Triangles: Perimeter of a triangle split into four smaller triangles (official answer: B) PDF
  • Q.74 (CDS (I) Maths) · MCQ · Circles: Data sufficiency: whether a circle passes through three points (official answer: B) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Triangles: Data sufficiency: whether a triangle is right-angled (official answer: A) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Triangles: Data sufficiency: shortest side of a triangle (official answer: A) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Triangles: Hypotenuse of a right triangle from perimeter and area (official answer: C) PDF
  • Q.91 (CDS (I) Maths) · MCQ · Triangles: Length QC where a circle centred at B meets side BC (official answer: D) PDF
  • Q.93 (CDS (I) Maths) · MCQ · Triangles: Radius BD (altitude) of the circle in a 6-8-10 triangle (official answer: B) PDF
  • Q.98 (CDS (I) Maths) · MCQ · Triangles: Area of triangle AEC in a rectangle inscribed in a circle (official answer: A) PDF
  • Q.99 (CDS (I) Maths) · MCQ · Circles: Relation between angles x and y in a circle figure (official answer: C) PDF
  • Q.100 (CDS (I) Maths) · MCQ · Circles: Angle ACB when y = 15 degrees (official answer: D) PDF
  • Q.35 (CDS (II) Maths) · MCQ · Circles: Diameter of a circle from two parallel chords (official answer: C) PDF
  • Q.36 (CDS (II) Maths) · MCQ · Circles: Difference of tangents of half-angles subtended by two chords (official answer: D) PDF
  • Q.41 (CDS (II) Maths) · MCQ · Circles: Relation of radii of a circle touching three semicircles (official answer: D) PDF
  • Q.56 (CDS (II) Maths) · MCQ · Triangles: Area of the medial triangle of a 41-28-15 triangle (official answer: C) PDF
  • Q.57 (CDS (II) Maths) · MCQ · Triangles: Shortest altitude of a 13-14-15 triangle (official answer: B) PDF
  • Q.59 (CDS (II) Maths) · MCQ · Triangles: Sum of legs from a right triangle scaled on its sides (official answer: B) PDF
  • Q.62 (CDS (II) Maths) · MCQ · Circles: Radius of a bridge arch from span and height (official answer: C) PDF
  • Q.82 (CDS (II) Maths) · MCQ · Circles: Statements on angles in a segment and cyclic quadrilaterals (official answer: B) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Triangles: Perpendicular from the right angle to the hypotenuse (official answer: A) PDF
  • Q.100 (CDS (II) Maths) · MCQ · Triangles: Data sufficiency: area of a triangle in a semicircle (official answer: A) PDF

CDS2022

  • Q.1 (CDS (I) Maths) · MCQ · Polygons: Ratio of interior to exterior angle of a regular polygon (official answer: C) PDF
  • Q.12 (CDS (I) Maths) · MCQ · Triangles: Perpendicular to hypotenuse from its segments (official answer: D) PDF
  • Q.39 (CDS (I) Maths) · MCQ · Triangles: Perimeter of a right triangle from area (official answer: C) PDF
  • Q.58 (CDS (I) Maths) · MCQ · Circles: Length of a chord in a unit circle (official answer: C) PDF
  • Q.61 (CDS (I) Maths) · MCQ · Circles: Statements on equal chords and concentric circles (official answer: C) PDF
  • Q.62 (CDS (I) Maths) · MCQ · Circles: Distance from centre to a chord (official answer: D) PDF
  • Q.73 (CDS (I) Maths) · MCQ · Quadrilaterals: Product of parallel sides of a trapezium (official answer: B) PDF
  • Q.77 (CDS (I) Maths) · MCQ · Triangles: Statements on sides, perimeter and medians (official answer: B) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Triangles: Triangles congruent to the medial triangle (official answer: B) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Triangles: Angle BAC from an exterior angle (official answer: B) PDF
  • Q.80 (CDS (I) Maths) · MCQ · Triangles: Angle C in a right triangle with AC = 2BC (official answer: B) PDF
  • Q.81 (CDS (I) Maths) · MCQ · Triangles: Length CD from the angle bisector theorem (official answer: C) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Circles: Relation between side and circumradius (official answer: D) PDF
  • Q.83 (CDS (I) Maths) · MCQ · Triangles: AB^2 + BC^2 from median to hypotenuse (official answer: B) PDF
  • Q.86 (CDS (I) Maths) · MCQ · Triangles: AB + BC in a right triangle with altitude (official answer: D) PDF
  • Q.87 (CDS (I) Maths) · MCQ · Triangles: Perimeter using the angle bisector theorem (official answer: C) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Circles: Inradius of a triangle with given sides (official answer: A) PDF
  • Q.45 (CDS (II) Maths) · MCQ · Circles: Circumradius of a 9-12-15 triangle (official answer: C) PDF
  • Q.53 (CDS (II) Maths) · MCQ · Polygons: Diameter of incircle of a 15-sided polygon (official answer: B) PDF
  • Q.69 (CDS (II) Maths) · MCQ · Circles: Angle EDF for the incircle contact triangle (official answer: D) PDF
  • Q.76 (CDS (II) Maths) · MCQ · Triangles: Altitude to hypotenuse from base segments (official answer: C) PDF
  • Q.77 (CDS (II) Maths) · MCQ · Triangles: Relation of sides when foot divides base 3:1 (official answer: A) PDF
  • Q.78 (CDS (II) Maths) · MCQ · Triangles: Angle ABC when AC = root 3 BC (official answer: C) PDF
  • Q.79 (CDS (II) Maths) · MCQ · Triangles: Value of AB^2 + AC^2 - BC^2 for angle A = 60 (official answer: A) PDF
  • Q.87 (CDS (II) Maths) · MCQ · Circles: Product of legs of a right triangle in a circle (official answer: D) PDF
  • Q.88 (CDS (II) Maths) · MCQ · Circles: Difference of radii of touching circles (official answer: C) PDF
  • Q.96 (CDS (II) Maths) · MCQ · Circles: Statements on a circle through parallelogram vertices (official answer: A) PDF
  • Q.97 (CDS (II) Maths) · MCQ · Circles: Statements on centroid, cyclic quadrilaterals, parallelograms (official answer: D) PDF
  • Q.98 (CDS (II) Maths) · MCQ · Circles: Statements on a cyclic trapezium (official answer: D) PDF
  • Q.99 (CDS (II) Maths) · MCQ · Circles: Statements on a cyclic quadrilateral with produced sides (official answer: D) PDF
  • Q.100 (CDS (II) Maths) · MCQ · Similar Triangles: Ratio BD/AB when DE halves the triangle area (official answer: B) PDF

CDS2021

  • Q.76 (CDS (I) Maths) · MCQ · Quadrilaterals: Value of x from diagonal ratios in a trapezium (official answer: B) PDF
  • Q.77 (CDS (I) Maths) · MCQ · Similar Triangles: Ratio of sides of similar triangles from perimeters (official answer: B) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Similar Triangles: Ratio of heights from ratio of areas (official answer: C) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Triangles: Length AD in a right triangle with altitude (official answer: D) PDF
  • Q.81 (CDS (I) Maths) · MCQ · Triangles: Perimeter of a right triangle with sides in a ratio (official answer: C) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Triangles: Sum of segments parallel to sides in a right triangle (official answer: C) PDF
  • Q.83 (CDS (I) Maths) · MCQ · Circles: Angle BPD from diameters and a given angle (official answer: D) PDF
  • Q.84 (CDS (I) Maths) · MCQ · Circles: Angle BDC for triangles inscribed on the same arc (official answer: C) PDF
  • Q.85 (CDS (I) Maths) · MCQ · Circles: Sum of radii of three mutually touching circles (official answer: C) PDF
  • Q.86 (CDS (I) Maths) · MCQ · Circles: Length of a secant from tangent length (official answer: C) PDF
  • Q.87 (CDS (I) Maths) · MCQ · Triangles: Area of a right triangle from perimeter and hypotenuse (official answer: C) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Triangles: Length of perpendicular to hypotenuse (official answer: C) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Quadrilaterals: Ratio of triangle areas in a trapezium (official answer: D) PDF
  • Q.90 (CDS (I) Maths) · MCQ · Circles: Fourth side of a quadrilateral with an incircle (official answer: B) PDF
  • Q.61 (CDS (II) Maths) · MCQ · Circles: Area of a right triangle from circumradius and altitude (official answer: B) PDF
  • Q.62 (CDS (II) Maths) · MCQ · Circles: Difference of diameters of touching circles (official answer: C) PDF
  • Q.81 (CDS (II) Maths) · MCQ · Circles: Sum of radii of three mutually touching circles (official answer: C) PDF
  • Q.82 (CDS (II) Maths) · MCQ · Triangles: Altitude from A in a 6-8-10 triangle (official answer: D) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Triangles: Relation for a point on base of an isosceles triangle (official answer: B) PDF
  • Q.85 (CDS (II) Maths) · MCQ · Triangles: Length AB from segments on the base (official answer: A) PDF
  • Q.86 (CDS (II) Maths) · MCQ · Triangles: Value of AB^2 + 4BQ^2 with midpoints (official answer: B) PDF
  • Q.87 (CDS (II) Maths) · MCQ · Triangles: Value of AQ^2 + CP^2 in terms of AC^2 (official answer: C) PDF
  • Q.88 (CDS (II) Maths) · MCQ · Triangles: Value of 4(CP^2 - AQ^2) (official answer: B) PDF
  • Q.89 (CDS (II) Maths) · MCQ · Circles: Angle BAP in a circle with perpendicular radius (official answer: C) PDF
  • Q.90 (CDS (II) Maths) · MCQ · Circles: Angle AQP for a point on an arc (official answer: C) PDF

CDS2020

  • Q.69 (CDS (I) Maths) · MCQ · Circles: Bound on centre distance of two circles with a common chord (official answer: B) PDF
  • Q.70 (CDS (I) Maths) · MCQ · Chords of a Circle: Length of chord BC from two equal chords AB and AC (official answer: C) PDF
  • Q.71 (CDS (I) Maths) · MCQ · Tangent Circles: Radii of two internally touching circles from area sum (official answer: B) PDF
  • Q.73 (CDS (I) Maths) · MCQ · Tangent Circles: Diameter of a small circle touching two lines and a larger circle (official answer: D) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Parallelograms: Square of a diagonal of a parallelogram with given angles (official answer: B) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Parallelograms: Area relations of triangles formed by a line through a vertex (official answer: A) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Right Triangles: Least integer values making a triangle right-angled (official answer: C) PDF
  • Q.83 (CDS (I) Maths) · MCQ · Circumcircle: Maximum number of circumcircles of a triangle (official answer: A) PDF
  • Q.85 (CDS (I) Maths) · MCQ · Pythagoras Theorem: Breadth of a room from a ladder turned to the opposite wall (official answer: C) PDF
  • Q.93 (CDS (I) Maths) · MCQ · Lines and Angles: Find an angle from given ratios of angles on a line (official answer: C) PDF
  • Q.95 (CDS (I) Maths) · MCQ · Triangles: Sum of eight angles in a figure of four triangles (official answer: B) PDF
  • Q.96 (CDS (I) Maths) · MCQ · Parallel Lines: Angle x formed by transversals across parallel lines (official answer: B) PDF
  • Q.97 (CDS (I) Maths) · MCQ · Parallel Lines: Angle x from two pairs of parallel lines (official answer: A) PDF
  • Q.100 (CDS (I) Maths) · MCQ · Quadrilaterals: Statements on triangle areas and angles from crossing diagonals (official answer: B) PDF
  • Q.61 (CDS (II) Maths) · MCQ · Quadrilaterals: Angle ACD in a quadrilateral with a side condition (official answer: C) PDF
  • Q.62 (CDS (II) Maths) · MCQ · Angle Bisector: Length DC from the angle bisector theorem (official answer: B) PDF
  • Q.63 (CDS (II) Maths) · MCQ · Cyclic Quadrilaterals: Sum of angles formed by bisectors meeting the circle (official answer: C) PDF
  • Q.64 (CDS (II) Maths) · MCQ · Triangles: Ratio involving a trisection point in an equilateral triangle (official answer: A) PDF
  • Q.65 (CDS (II) Maths) · MCQ · Trapezium: Statements on proportional division in a trapezium (official answer: C) PDF
  • Q.71 (CDS (II) Maths) · MCQ · Triangles: Ratio that cannot be the angles of an integer-angle triangle (official answer: D) PDF
  • Q.75 (CDS (II) Maths) · MCQ · Polygons: Polygon whose interior angle sum is twice exterior sum (official answer: A) PDF
  • Q.78 (CDS (II) Maths) · MCQ · Triangles: Sum of two angles given a ratio relation (official answer: B) PDF
  • Q.80 (CDS (II) Maths) · MCQ · Right Triangles: Product of consecutive even sides of a right triangle (official answer: D) PDF
  • Q.81 (CDS (II) Maths) · MCQ · Tangents: Angle at the centre between two tangent points (official answer: C) PDF
  • Q.82 (CDS (II) Maths) · MCQ · Pythagoras Theorem: Hypotenuse from the sum of squares of all sides (official answer: D) PDF
  • Q.85 (CDS (II) Maths) · MCQ · Medians: Relation between areas of triangles split by a median (official answer: B) PDF
  • Q.87 (CDS (II) Maths) · MCQ · Right Triangles: Statements on segments in a right triangle (official answer: A) PDF

CDS2019

  • Q.74 (CDS (I) Maths) · MCQ · Chords of a Circle: Distance between two parallel chords of a circle (official answer: B) PDF
  • Q.77 (CDS (I) Maths) · MCQ · Right Triangles: Sets of consecutive integers forming a right triangle (official answer: A) PDF
  • Q.80 (CDS (I) Maths) · MCQ · Right Triangles: Perimeter as multiple of the shortest side of a right triangle (official answer: C) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Triangles: Perimeter ratio of a triangle with angles in ratio 1:1:4 (official answer: A) PDF
  • Q.83 (CDS (I) Maths) · MCQ · Right Triangles: New hypotenuse after changing the legs of a right triangle (official answer: C) PDF
  • Q.84 (CDS (I) Maths) · MCQ · Chords of a Circle: Length of a chord from two equal chords from one point (official answer: A) PDF
  • Q.85 (CDS (I) Maths) · MCQ · Cyclic Quadrilaterals: Statements on cyclic trapezium and parallelogram (official answer: C) PDF
  • Q.86 (CDS (I) Maths) · MCQ · Pythagoras Theorem: Length of a ladder that slips down a wall (official answer: B) PDF
  • Q.87 (CDS (I) Maths) · MCQ · Circles: Diameter from the common chord of two equal intersecting circles (official answer: A) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Circles: Statements on circles through points and angles in segments (official answer: D) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Triangle Inequality: Which side-difference inequalities hold in any triangle (official answer: D) PDF
  • Q.90 (CDS (I) Maths) · MCQ · Medians: Statements on medians and perimeter of a triangle (official answer: C) PDF
  • Q.97 (CDS (I) Maths) · MCQ · Circumcircle: Side of an equilateral triangle inscribed in a circle (official answer: D) PDF
  • Q.98 (CDS (I) Maths) · MCQ · Centroid: Distance from a vertex to the centroid of an equilateral triangle (official answer: C) PDF
  • Q.27 (CDS (II) Maths) · MCQ · Parallel Lines: Length of a segment cut by transversals on parallel lines (official answer: B) PDF
  • Q.29 (CDS (II) Maths) · MCQ · Triangle Centres: Location of the orthocentre of a right triangle (official answer: C) PDF
  • Q.30 (CDS (II) Maths) · MCQ · Angle Bisector: Correct relation from an angle bisector in a triangle (official answer: B) PDF
  • Q.36 (CDS (II) Maths) · MCQ · Triangles: Perimeter of a triangle formed by lines parallel to sides (official answer: B) PDF
  • Q.37 (CDS (II) Maths) · MCQ · Trapezium: Area of a triangle formed by diagonals of a trapezium (official answer: B) PDF
  • Q.38 (CDS (II) Maths) · MCQ · Circles: Case in which a point does not lie on a circle with diameter AB (official answer: A) PDF
  • Q.39 (CDS (II) Maths) · MCQ · Similar Triangles: Side of a similar triangle from perimeter ratio (official answer: B) PDF
  • Q.40 (CDS (II) Maths) · MCQ · Parallelograms: Diagonal length of a parallelogram with an equilateral half (official answer: B) PDF
  • Q.44 (CDS (II) Maths) · MCQ · Mid-point Theorem: Area of a triangle formed by repeated mid-points (official answer: B) PDF
  • Q.45 (CDS (II) Maths) · MCQ · Similar Triangles: Area ratio of triangles formed between parallel lines (official answer: C) PDF
  • Q.48 (CDS (II) Maths) · MCQ · Right Triangles: Perpendicular from the right angle to the hypotenuse (official answer: B) PDF
  • Q.63 (CDS (II) Maths) · MCQ · Right Triangles: Maximum perimeter of an integer right triangle with a side 15 (official answer: A) PDF
  • Q.65 (CDS (II) Maths) · MCQ · Tangents: Diameter of a circle inscribed in a right trapezium (official answer: D) PDF

CDS2018

  • Q.65 (CDS (I) Maths) · MCQ · Right Triangles: Relation of legs and altitude in a right triangle (official answer: A) PDF
  • Q.73 (CDS (I) Maths) · MCQ · Circles: Length of transverse common tangent of two circles (official answer: C) PDF
  • Q.75 (CDS (I) Maths) · MCQ · Line Segments: Length of CB when AC^2 = AB x CB (official answer: B) PDF
  • Q.76 (CDS (I) Maths) · MCQ · Locus: Locus of midpoints of radii of a circle (official answer: A) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Triangles: Statements on positions of orthocentre and centroid (official answer: C) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Locus: Locus of points equidistant from two intersecting lines (official answer: C) PDF
  • Q.80 (CDS (I) Maths) · MCQ · Congruence: Conditions for congruence of triangles (official answer: D) PDF
  • Q.81 (CDS (I) Maths) · Assertion-Reason · Polygons: Statement pair on polygon with all right angles (official answer: C) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Triangles: Inequality between sum of medians and sides (official answer: C) PDF
  • Q.90 (CDS (I) Maths) · MCQ · Triangles: Second inequality between medians and sides (official answer: B) PDF
  • Q.96 (CDS (I) Maths) · MCQ · Circles: Angle ACB with tangents XA, XB and AC parallel to XB (official answer: B) PDF
  • Q.97 (CDS (I) Maths) · MCQ · Parallel Lines: Ratios formed by transversals across three parallel lines (official answer: C) PDF
  • Q.99 (CDS (I) Maths) · MCQ · Circles: Angle POQ from tangent-chord angle (official answer: B) PDF
  • Q.100 (CDS (I) Maths) · MCQ · Circles: Distance OP where two equal chords intersect (official answer: D) PDF
  • Q.20 (CDS (II) Maths) · MCQ · Polygons: Regular polygons with sides in ratio 5:4 and angle difference 9 degrees (official answer: D) PDF
  • Q.71 (CDS (II) Maths) · MCQ · Right Triangles: Possible perimeter of a right triangle with area 2016 (official answer: B) PDF
  • Q.74 (CDS (II) Maths) · MCQ · Quadrilaterals: Statements on parallelogram formed by midpoints (official answer: A) PDF
  • Q.83 (CDS (II) Maths) · MCQ · Similar Triangles: Ratio of sides of similar triangles from their areas (official answer: A) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Circles: Ratio of angles subtended by a chord of length root 3 times r (official answer: B) PDF
  • Q.85 (CDS (II) Maths) · MCQ · Triangles: Angle BDC formed by bisectors of exterior angles (official answer: B) PDF
  • Q.87 (CDS (II) Maths) · MCQ · Lines and Angles: Four angles at intersection when one is 5 times another (official answer: B) PDF
  • Q.88 (CDS (II) Maths) · MCQ · Locus: Locus with constant sum of squared distances to two points (official answer: B) PDF
  • Q.89 (CDS (II) Maths) · MCQ · Pythagoras Theorem: Compare cube of hypotenuse with sum of cubes of the legs (official answer: B) PDF
  • Q.92 (CDS (II) Maths) · MCQ · Circles: Length of tangent PT from given radius and AT (official answer: B) PDF
  • Q.94 (CDS (II) Maths) · MCQ · Circles: Find angle BCD in the figure (official answer: C) PDF
  • Q.95 (CDS (II) Maths) · MCQ · Circles: Angles CEF and COF in a circle with diameter AB (official answer: B) PDF
  • Q.96 (CDS (II) Maths) · MCQ · Similar Triangles: Find QR and AR in similar triangles (official answer: D) PDF
  • Q.97 (CDS (II) Maths) · MCQ · Right Triangles: Length of altitude BD from AD and DC (official answer: D) PDF
  • Q.99 (CDS (II) Maths) · MCQ · Triangles: Find PQ in an equilateral triangle with parallel segments (official answer: D) PDF

CDS2017

  • Q.70 (CDS (I) Maths) · MCQ · Triangles: Triple that cannot be triangle sides (official answer: D) PDF
  • Q.72 (CDS (I) Maths) · MCQ · Triangles: Smallest angle from ratio 2:4:5 (official answer: B) PDF
  • Q.75 (CDS (I) Maths) · MCQ · Quadrilaterals: Shape formed by midpoints of a rectangle (official answer: C) PDF
  • Q.76 (CDS (I) Maths) · MCQ · Triangles: Area of the midpoint triangle (official answer: C) PDF
  • Q.81 (CDS (I) Maths) · MCQ · Circles: Distance between two parallel chords (official answer: C) PDF
  • Q.84 (CDS (I) Maths) · MCQ · Similar Triangles: Length AC from equal angles (official answer: B) PDF
  • Q.86 (CDS (I) Maths) · MCQ · Quadrilaterals: Ratio OA:OC in a trapezium (official answer: A) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Quadrilaterals: Half-diagonal of a rectangle (official answer: B) PDF
  • Q.91 (CDS (I) Maths) · MCQ · Circles: Diameter of a shaded circle from figure (official answer: A) PDF
  • Q.92 (CDS (I) Maths) · MCQ · Triangles: Area ratios of triangles in a figure (official answer: A) PDF
  • Q.93 (CDS (I) Maths) · MCQ · Quadrilaterals: Angle between bisectors in a parallelogram (official answer: C) PDF
  • Q.94 (CDS (I) Maths) · MCQ · Triangles: Angles formed by bisectors of B and C (official answer: C) PDF
  • Q.95 (CDS (I) Maths) · MCQ · Triangles: Angle RLM in a right triangle figure (official answer: B) PDF
  • Q.96 (CDS (I) Maths) · MCQ · Lines and Angles: Angle MPQ with parallel lines (official answer: C) PDF
  • Q.97 (CDS (I) Maths) · MCQ · Triangles: Statements on an interior point of an isosceles triangle (official answer: C) PDF
  • Q.98 (CDS (I) Maths) · MCQ · Congruence: Rule proving two triangles congruent (official answer: C) PDF
  • Q.99 (CDS (I) Maths) · MCQ · Congruence: Statements on triangles in a square (official answer: D) PDF
  • Q.49 (CDS (II) Maths) · MCQ · Triangles: Side BC from angle A and circumradius (official answer: B) PDF
  • Q.58 (CDS (II) Maths) · MCQ · Circles: Angle between lines for two tangent circles (official answer: B) PDF
  • Q.62 (CDS (II) Maths) · MCQ · Triangles: Altitude to hypotenuse relation (official answer: C) PDF
  • Q.63 (CDS (II) Maths) · MCQ · Circles: Radius from two parallel chords (official answer: C) PDF
  • Q.64 (CDS (II) Maths) · MCQ · Circles: Area of triangle CPD in a cyclic quadrilateral (official answer: D) PDF
  • Q.65 (CDS (II) Maths) · MCQ · Triangles: BD² for altitude of an equilateral triangle (official answer: C) PDF
  • Q.66 (CDS (II) Maths) · MCQ · Tangents: Length of a direct common tangent (official answer: A) PDF
  • Q.67 (CDS (II) Maths) · MCQ · Triangle Centres: Triangle whose orthocentre is Q (official answer: D) PDF
  • Q.68 (CDS (II) Maths) · MCQ · Triangles: Relation for altitude in a right triangle (official answer: D) PDF
  • Q.69 (CDS (II) Maths) · MCQ · Quadrilaterals: OB²+OD² for a point inside a rectangle (official answer: C) PDF
  • Q.77 (CDS (II) Maths) · MCQ · Triangles: Length GF with medians and a parallel line (official answer: A) PDF
  • Q.78 (CDS (II) Maths) · MCQ · Similar Triangles: Correct relation in triangle PQR (official answer: A) PDF
  • Q.79 (CDS (II) Maths) · MCQ · Lines and Angles: Statements on parallel and perpendicular lines (official answer: B) PDF
  • Q.80 (CDS (II) Maths) · MCQ · Quadrilaterals: Side of a rhombus from diagonals (official answer: B) PDF
  • Q.82 (CDS (II) Maths) · MCQ · Similar Triangles: Length DE cutting off one-fifth area (official answer: B) PDF
  • Q.83 (CDS (II) Maths) · MCQ · Lines and Angles: Maximum intersections of 8 lines (official answer: C) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Polygons: Equal angles of a hexagon (official answer: B) PDF
  • Q.85 (CDS (II) Maths) · MCQ · Triangle Centres: Statements on circumcentre and orthocentre (official answer: C) PDF

CDS2016

  • Q.26 (CDS (I) Maths) · MCQ · Triangles: Statements comparing medians of two triangles (official answer: D) PDF
  • Q.30 (CDS (I) Maths) · MCQ · Circles: Length AP where a diameter cuts a chord (official answer: B) PDF
  • Q.50 (CDS (I) Maths) · MCQ · Similar Triangles: Width of a road from poles and similar triangles (official answer: D) PDF
  • Q.51 (CDS (I) Maths) · MCQ · Circles: Statements on triangles from intersecting chords (official answer: C) PDF
  • Q.52 (CDS (I) Maths) · MCQ · Similar Triangles: Length AD when areas are in ratio 2:1 (official answer: C) PDF
  • Q.54 (CDS (I) Maths) · MCQ · Polygons: Number of sides with interior angle 140° (official answer: B) PDF
  • Q.55 (CDS (I) Maths) · MCQ · Similar Triangles: Statements on similar triangles and midpoints (official answer: C) PDF
  • Q.59 (CDS (I) Maths) · MCQ · Similar Triangles: Area ratio from side ratio of similar triangles (official answer: C) PDF
  • Q.60 (CDS (I) Maths) · MCQ · Tangents: Sine of angle between tangent and centre line (official answer: C) PDF
  • Q.61 (CDS (I) Maths) · MCQ · Triangles: Diagonal of a square inscribed in a right triangle (official answer: C) PDF
  • Q.69 (CDS (I) Maths) · MCQ · Lines and Angles: Maximum intersections of five lines (official answer: C) PDF
  • Q.70 (CDS (I) Maths) · MCQ · Circles: Statements on chords through a midpoint (official answer: A) PDF
  • Q.71 (CDS (I) Maths) · MCQ · Triangles: Locus of points equidistant from B and C (official answer: D) PDF
  • Q.72 (CDS (I) Maths) · MCQ · Tangents: Statements on tangents from an external point (official answer: C) PDF
  • Q.78 (CDS (I) Maths) · MCQ · Polygons: Statements on interior and exterior angle sums (official answer: D) PDF
  • Q.79 (CDS (I) Maths) · MCQ · Polygons: Statements on exterior angles of polygons (official answer: C) PDF
  • Q.80 (CDS (I) Maths) · MCQ · Similar Triangles: Statements on a line dividing sides proportionally (official answer: C) PDF
  • Q.81 (CDS (I) Maths) · MCQ · Lines and Angles: Distinct angles when a transversal cuts four parallels (official answer: A) PDF
  • Q.82 (CDS (I) Maths) · MCQ · Distance: Shortest distance after a path with turns (official answer: B) PDF
  • Q.83 (CDS (I) Maths) · MCQ · Triangles: Area relations with a median and its midpoint (official answer: C) PDF
  • Q.86 (CDS (I) Maths) · MCQ · Triangles: Relation in a right triangle from figure (official answer: C) PDF
  • Q.87 (CDS (I) Maths) · MCQ · Triangles: Angle CDB when AD=CD=BC (official answer: B) PDF
  • Q.88 (CDS (I) Maths) · MCQ · Triangles: Statements on triangle XYZ inside equilateral ABC (official answer: C) PDF
  • Q.89 (CDS (I) Maths) · MCQ · Lines and Angles: Angles x, y, z with parallel lines (official answer: D) PDF
  • Q.42 (CDS (II) Maths) · MCQ · Circles: Ratio of side of inscribed square to triangle (official answer: A) PDF
  • Q.46 (CDS (II) Maths) · MCQ · Triangles: Length CD in a right triangle with 30° angle (official answer: D) PDF
  • Q.48 (CDS (II) Maths) · MCQ · Circles: Ratio AP:BP where a diameter cuts a chord (official answer: B) PDF
  • Q.53 (CDS (II) Maths) · MCQ · Quadrilaterals: Property of a quadrilateral with incircle (official answer: B) PDF
  • Q.56 (CDS (II) Maths) · MCQ · Triangles: Area ratio of nested midpoint triangles (official answer: C) PDF
  • Q.59 (CDS (II) Maths) · MCQ · Tangents: Length of tangents at 60° to a circle (official answer: A) PDF
  • Q.70 (CDS (II) Maths) · MCQ · Circles: Locus of midpoint of a rotating chord (official answer: D) PDF
  • Q.84 (CDS (II) Maths) · MCQ · Triangle Centres: Foot of pole equidistant in angle from corners (official answer: dropped in the final key) PDF

Other Elementary Mathematics topics

FAQ

How many Geometry questions come in CDS?

In the official papers we tagged: 48 in 2026, 31 in 2025, 28 in 2024, 23 in 2023, 31 in 2022, 25 in 2021, 27 in 2020, 27 in 2019, 29 in 2018, 35 in 2017 and 32 in 2016 (2 papers each year). That is 336 questions in all, about 15% of Elementary Mathematics.

Which Geometry topics repeat in CDS?

Asked in the most papers: Triangles, Circles, Similar Triangles. The concept table lists every one with its count.

Are these official CDS questions?

Yes. Every question is from an official CDS paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.