{"id":3363,"date":"2026-07-14T12:38:00","date_gmt":"2026-07-14T07:08:00","guid":{"rendered":"https:\/\/www.catmock.com\/blog\/?p=3363"},"modified":"2026-07-14T12:38:01","modified_gmt":"2026-07-14T07:08:01","slug":"top-geometry-questions-to-practice-for-cat-2026","status":"publish","type":"post","link":"https:\/\/www.catmock.com\/blog\/top-geometry-questions-to-practice-for-cat-2026\/","title":{"rendered":"Top Geometry Questions to Practice for CAT 2026"},"content":{"rendered":"\n

Geometry is the topic most CAT aspirants either love or avoid entirely\u2014there’s rarely a middle ground. But it’s also one of the more predictable sections once you’ve built the visual instinct for it, since most questions reduce to a small set of recurring patterns: similarity, circle theorems, and coordinate calculations. This guide brings together the most important geometry questions to practice for CAT 2026, along with the weightage trends behind them, a quick formula cheat sheet, and a practice strategy you can start using right away.<\/p>\n\n\n\n

CAT does not publish an official syllabus, so everything about weightage here is based on analyzing recent CAT papers rather than a confirmed exam blueprint\u2014we’ve flagged this clearly wherever it applies. Whether Geometry is your strongest area or the one you keep postponing, treat this as a working reference rather than another static formula list.<\/p>\n\n\n\n

Why Geometry Deserves a Place in Your CAT 2026 Quant Prep<\/strong><\/h1>\n\n\n\n

Geometry questions in CAT rarely test a formula in isolation\u2014they test whether you can recognize which formula applies to the figure in front of you. That recognition skill improves quickly with focused practice, which is exactly why geometry practice questions for CAT 2026 are worth a dedicated block of prep time rather than occasional, scattered attempts.<\/p>\n\n\n\n

QA Topic Cluster<\/strong><\/td>Approx. Questions*<\/strong><\/td>Approx. Weightage*<\/strong><\/td><\/tr><\/thead>
Arithmetic<\/td>8\u201310<\/td>35\u201340%<\/td><\/tr>
Algebra<\/td>6\u20138<\/td>25\u201335%<\/td><\/tr>
Geometry & Mensuration<\/td>3\u20135<\/td>~15%<\/td><\/tr>
Number Systems<\/td>1\u20132<\/td>5\u20138%<\/td><\/tr>
Modern Math (P&C, Probability, Sets)<\/td>1\u20132<\/td>~5%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
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*Estimated ranges based on analysis of CAT 2020\u20132025 papers across all slots; CAT does not release an official topic-wise weightage.<\/strong><\/em><\/p>\n<\/blockquote>\n\n\n\n

Geometry and Mensuration together typically make up roughly 15% of the Quant section. Within that, Triangles and Coordinate Geometry show up most consistently, with Circles appearing slightly less often but at a noticeably higher difficulty when they do.<\/p>\n\n\n\n

CAT Geometry Weightage Trends: Topic-Wise Breakdown<\/strong><\/h1>\n\n\n\n

Recent CAT papers show a fairly steady split across Geometry sub-topics, though the exact count shifts a little by slot and year. Coordinate Geometry has been a reliable 1\u20132 question source, often testing distance and section formulas rather than anything more elaborate.<\/p>\n\n\n\n

Geometry Sub-Topic<\/strong><\/td>Typical Q. Count<\/strong><\/td>Difficulty Tier<\/strong><\/td><\/tr><\/thead>
Triangles & Similarity<\/td>1\u20132<\/td>Moderate<\/td><\/tr>
Circles & Tangents<\/td>1<\/td>Moderate\u2013Difficult<\/td><\/tr>
Quadrilaterals & Polygons<\/td>0\u20131<\/td>Easy\u2013Moderate<\/td><\/tr>
Mensuration (2D & 3D)<\/td>1\u20132<\/td>Moderate<\/td><\/tr>
Coordinate Geometry<\/td>1\u20132<\/td>Easy\u2013Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
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*Ranges reflect recurring patterns across recent CAT slots and are meant to guide prioritization, not to be read as a guaranteed question count.<\/strong><\/em><\/p>\n<\/blockquote>\n\n\n\n

Top Geometry Questions to Practice for CAT 2026<\/strong><\/h1>\n\n\n\n

These questions cover the geometry concepts that show up most often in CAT \u2014 triangles, circles, coordinate geometry, and quadrilaterals. Solve each one without a calculator, then check your method against the solution.<\/p>\n\n\n\n

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Q1. A triangle has sides 7, 24, and 25. Is it right-angled? Find its area.<\/strong><\/p>\n\n\n\n

7\u00b2+24\u00b2 = 49+576 = 625 = 25\u00b2, so it’s right-angled. Area = (1\/2)\u00d77\u00d724 = 84.<\/p>\n\n\n\n

Q2. The area of a circle is 154 cm\u00b2. Find its circumference. (Take \u03c0 = 22\/7.)<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

\u03c0r\u00b2 = 154 gives r\u00b2 = 49, so r = 7. Circumference = 2\u03c0r = 44 cm.<\/p>\n\n\n\n

Q3. Two similar triangles have areas 50 and 72. If the smaller triangle’s base is 10, find the larger triangle’s corresponding side.<\/strong> <\/p>\n\n\n\n

Ratio of areas = ratio of sides squared: 50\/72 = 25\/36, so side ratio = 5\/6. 10\/x = 5\/6, so x = 12.<\/p>\n\n\n\n

Q4. Find the distance between the points (3,4) and (7,1).<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

\u221a((7\u22123)\u00b2+(1\u22124)\u00b2) = \u221a(16+9) = 5.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Q5. A chord of length 16 cm is 6 cm from the center of a circle. Find the radius.<\/strong>\u00a0<\/em><\/p>\n\n\n\n

r\u00b2 = (chord\/2)\u00b2 + d\u00b2 = 64+36 = 100, so r = 10.<\/p>\n\n\n\n

Q6. In triangle ABC, angle A = 90\u00b0, AB = 6, AC = 8. Find the length of the median from A to BC.<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

BC = \u221a(36+64) = 10. The median to the hypotenuse from the right angle equals half the hypotenuse = 5.<\/p>\n\n\n\n

Q7. The diagonals of a rhombus are 16 cm and 12 cm. Find its area and side length.<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

Area = (1\/2)\u00d716\u00d712 = 96. Side = \u221a(8\u00b2+6\u00b2) = 10.<\/p>\n\n\n\n

Q8. Two tangents from an external point to a circle are equal in length. If the tangent length is 12 cm and the radius is 5 cm, find the distance from the point to the center.<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

distance\u00b2 = tangent\u00b2 + radius\u00b2 = 144 + 25 = 169, so distance = 13.<\/p>\n\n\n\n

Q9. In a triangle, the centroid divides each median in the ratio 2:1. If one median is 9 units long, find the distance from that vertex to the centroid.<\/strong>\u00a0 <\/em><\/p>\n\n\n\n

Vertex to centroid = (2\/3)\u00d79 = 6.<\/p>\n\n\n\n

Q10. Find the point dividing the segment joining (2,3) and (8,9) in the ratio 1:2 internally.<\/strong>\u00a0<\/em><\/p>\n\n\n\n

x = (1\u00d78+2\u00d72)\/3 = 4, y = (1\u00d79+2\u00d73)\/3 = 5. Point = (4,5).<\/p>\n<\/div>\n\n\n\n

Common Mistakes CAT 2026 Aspirants Make in Geometry<\/strong><\/h2>\n\n\n\n

Most Geometry marks are lost to avoidable habits rather than a lack of ability. Watch out for these patterns as you work through your practice sets:<\/p>\n\n\n\n