SSC CGL Geometry Questions 2026 — Free Chapter Wise Practice Test

Geometry Tests — Pick a Level and Start

Tap a level to see every test in it. Level 1 is set at real SSC CGL difficulty — start there the day you finish the concept. Level 2 is pitched above the exam, to push accuracy under pressure.

A geometry question is a known result waiting to be recognised. Once you see which point, line or shape the question is about — the incentre, a median, a line parallel to a side, a chord — the working is usually one line. The skill is naming the configuration before you calculate: an angle at the point where the bisectors meet is 90° + A/2, a median to a hypotenuse is half of it, and a line parallel to a side cuts off a similar triangle.

The marks are lost in three places. The first is mixing up the centres — the incentre, orthocentre and circumcentre each give a different angle at BC, and the centroid alone splits the median 2 : 1. The second is using a side ratio where the area ratio is needed: similar triangles have areas in the ratio of the squares of their sides. The third is trusting the diagram's proportions — figures are not drawn to scale, so every angle and length must come from a stated fact. Each test puts twenty-five geometry questions in front of you in one sitting, which is what makes those checks automatic.

How Many Geometry Questions Are Asked in SSC CGL?

Geometry is one of the heaviest parts of advanced maths. Tier I usually has two or three questions and Tier II has several more, most of them on triangle centres, similarity and circles.

Counts vary by shift. Geometry supplies the lengths and angles that mensuration questions start from, so the two chapters are best prepared back to back.

What You Will Practice in the Geometry Chapter

Lines, angles and triangles

• Complements, supplements, linear pairs and vertically opposite angles
• Parallel lines and a transversal — alternate and co-interior angles, and bends between parallels
• Congruence criteria (SSS, SAS, ASA, RHS) and why SSA and AAA fail
• The angle sum, exterior angles and isosceles chains
• Squares, pentagons and hexagons with equilateral triangles or squares on a side
• Sides against angles, the triangle inequality and acute, right and obtuse triangles

Centres, medians and similarity

• The incentre, excentre, orthocentre, circumcentre and centroid, and the angles at each
• The angle bisector theorem, internal and external
• Medians, Apollonius and the median to the hypotenuse
• The mid-point theorem and basic proportionality
• Similar triangles — side, perimeter, altitude and area ratios
• Area splits by cevians, medians and parallel lines
• Pythagoras, special right triangles, the altitude on the hypotenuse and the cosine rule

Quadrilaterals, polygons and circles

• Parallelograms, rectangles, squares, rhombuses, kites and trapeziums
• Regular polygons — interior and exterior angles, diagonals, hexagons and octagons
• Equilateral triangles — height, area, inradius and circumradius
• Circles with polygons — inscribed and circumscribed figures, touching circles
• Circle theorems — angles in the same segment, cyclic quadrilaterals, chords and tangents

Rules worth memorising

The first four rows cover the angle questions on triangle centres. Most length questions reduce to the median, similarity or altitude rows.

The three mistakes that cost the most marks

• Using the wrong centre. The incentre gives 90° + A/2, the orthocentre 180° − A and the circumcentre 2A. Read which lines meet — bisectors, altitudes or perpendicular bisectors — before choosing a formula.
• Forgetting to square for areas. A 2 : 3 side ratio gives a 4 : 9 area ratio. Areas of triangles on the same line with the same vertex, however, go in the plain ratio of their bases.
• Reading the diagram instead of the data. Figures are not to scale. An angle that looks like 90° is 90° only if the question says so or a theorem proves it.

Solved Examples — SSC CGL Geometry Questions

How the Geometry Chapter Tests Work

• 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
• Figure questions in most tests, each with an original diagram shown beside the question.
• Optional 15-minute timer — with the clock to build exam speed, without it while you are still learning the chapter.
• Marking: +2 correct, −0.5 wrong, 0 unattempted — the same scheme as the real paper.
• Solutions, shortcut tricks and concept notes open after you submit, question by question.
• English and हिंदी, chosen at the start of every test.
• Free with a TrickySSC account — sign in once with Google or your mobile number, and every test is open to you.

How to Prepare Geometry for SSC CGL

1. Learn the four centre angles as a set. 90° + A/2, 90° − A/2, 180° − A and 2A. Write them side by side until you can tell them apart instantly.
2. Draw the figure every time. A rough sketch, labelled with every given value, shows which triangle or theorem the question is really about.
3. Look for isosceles triangles. Equal sides in a square, rhombus, polygon or circle (radii, tangents) create equal base angles — most angle-chasing questions turn on one.
4. Spot the parallel line. A line parallel to a side means similar triangles, the mid-point theorem or equal areas between parallels.
5. Keep sides and areas apart. Lengths go in the plain ratio, areas in the squared ratio; write which one you are using before you calculate.
6. Know the Pythagorean triples. 3-4-5, 5-12-13, 8-15-17, 7-24-25 and 9-40-41 turn most right-triangle questions into one line.
7. Use the equilateral shortcuts. Height √3a/2, area √3a²/4, and a centroid that is also the incentre and circumcentre with R = 2r.
8. Check the answer against the figure's logic. An exterior angle is larger than either remote interior angle; a median to a hypotenuse is exactly half of it. One check rules out two options.
9. Do Level 1 untimed, the same day you finish the theory. It is set at real SSC CGL difficulty; the aim is naming the right result, not speed.
10. Repeat Level 1 with the 15-minute clock on, then move to Level 2. After that, verify against a previous year paper and a full mock test under locked sectional timing.

Related SSC CGL Maths Chapters

These chapters share the right triangles, surds and ratios that geometry is built on. Practising them as a block is the fastest route through advanced maths.

All SSC CGL Chapter Wise Tests

Every chapter below has its own free Level 1 and Level 2 tests with full solutions.

SSC CGL Geometry Questions — Frequently Asked Questions

More Free SSC CGL Practice