11 year papers

Triangles CBSE Class 10 PYQ Chapter Wise (2016–2026)

Triangles CBSE Class 10 PYQs: all 22 questions from 40 official papers (2016–2026), by concept. Asked in 8 of 10 years.

Updated2 min read
Full name
CBSE Class 10 Board Examination
Conducted by
Central Board of Secondary Education
Frequency
Annual board exams (as notified)
Sections
Subject-wise theory papers (as opted)
Official site
cbse.gov.in ↗

Explore: All CBSE Class 10 chapters · CBSE Class 10 Mathematics PYQs · CBSE Class 10 hub · Syllabus & pattern · Class 10 2026

Answer first

Triangles PYQs (previous year questions) for CBSE Class 10: Triangles (Mathematics) had 22 questions across the 40 official CBSE Class 10 papers we tagged (2016–2026), and appeared in 8 of them. Asked in 8 of 10 years. The concepts asked in the most papers: Basic Proportionality Theorem, Similar Triangles, Areas of Similar Triangles.

Year-wise question count

Asked in 8 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

ConceptQuestionsPapersYears
Basic Proportionality Theorem742026, 2024, 2023, 2020
Similar Triangles542026, 2025, 2019, 2016
Areas of Similar Triangles432020, 2019, 2018
Pythagoras Theorem432020, 2019, 2018
Similarity Criteria222025, 2024

How to practise Triangles PYQs

  1. Start with the concepts at the top of the table. They have come back the most.
  2. Solve one year’s Triangles 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, with a link to the official PDF.

CBSE Class 102026

  • Q.7 (Mathematics Standard (30/1/1)) · MCQ · Similar Triangles: Find EF for similar triangles with 2AB = DE PDF
  • Q.22 (Mathematics Standard (30/1/1)) · Very short answer · Basic Proportionality Theorem: Find x using BPT with algebraic segment lengths PDF
  • Q.34 (Mathematics Standard (30/1/1)) · Long answer · Basic Proportionality Theorem: State and prove the basic proportionality theorem PDF

CBSE Class 102025

  • Q.8 (Mathematics Standard (30/1/1)) · MCQ · Similarity Criteria: Classify two triangles with equal angles and sides in ratio 3 PDF
  • Q.24 (Mathematics Standard (30/1/1)) · Very short answer · Similar Triangles: Find PQ+QR for triangles similar to a given one PDF
  • Q.33 (Mathematics Standard (30/1/1)) · Long answer · Similar Triangles: Prove DF x EF = FB x FA in a parallelogram PDF

CBSE Class 102024

  • Q.24 (Mathematics Standard (30/1/1)) · Very short answer · Similarity Criteria: Prove ABD similar to CBD and AB = BC with bisecting diagonal PDF
  • Q.34 (Mathematics Standard (30/1/1)) · Long answer · Basic Proportionality Theorem: Prove the basic proportionality theorem PDF

CBSE Class 102023

  • Q.22 (Mathematics Standard (30/1/1)) · Very short answer · Basic Proportionality Theorem: Length XY using parallel lines and similar triangles PDF
  • Q.32 (Mathematics Standard (30/1/1)) · Long answer · Basic Proportionality Theorem: Prove the basic proportionality theorem PDF

CBSE Class 102020

  • Q.12 (Mathematics Standard (30/1/1)) · Fill in the blank · Areas of Similar Triangles: Area ratio from side ratio of similar triangles PDF
  • Q.13 (Mathematics Standard (30/1/1)) · Fill in the blank · Pythagoras Theorem: Altitude of an equilateral triangle of side 2a PDF
  • Q.22 (Mathematics Standard (30/1/1)) · Short answer · Basic Proportionality Theorem: Prove BE/EC = BC/CP using parallel lines PDF
  • Q.31 (Mathematics Standard (30/1/1)) · Short answer · Basic Proportionality Theorem: Prove triangle is isosceles using BPT converse PDF
  • Q.32 (Mathematics Standard (30/1/1)) · Short answer · Pythagoras Theorem: Prove converse of Pythagoras theorem PDF

CBSE Class 102019

  • Q.5 (Mathematics (30/1/1)) · Very short answer · Areas of Similar Triangles: Area ratio of ABC to ADE with DE parallel to BC PDF
  • Q.19 (Mathematics (30/1/1)) · Short answer · Similar Triangles: Prove CD^2 = BD x AD with altitude to hypotenuse PDF
  • Q.29 (Mathematics (30/1/1)) · Long answer · Pythagoras Theorem: Prove the Pythagoras theorem PDF

CBSE Class 102018

  • Q.6 (Mathematics (30/1)) · Very short answer · Areas of Similar Triangles: Ratio of areas of similar triangles from side ratio PDF
  • Q.17 (Mathematics (30/1)) · Short answer · Areas of Similar Triangles: Equilateral triangles on side and diagonal of a square PDF
  • Q.25 (Mathematics (30/1)) · Long answer · Pythagoras Theorem: Prove 9AD^2 = 7AB^2 in an equilateral triangle PDF

CBSE Class 102016

  • Q.24 (Mathematics (30/1)) · Long answer · Similar Triangles: Ratio DO'/CO for two touching equal circles with a tangent PDF

Other Mathematics chapters

FAQ

How many Triangles questions come in CBSE Class 10?

In the official papers we tagged: 3 in 2026, 3 in 2025, 2 in 2024, 2 in 2023, 5 in 2020, 3 in 2019, 3 in 2018 and 1 in 2016. Not asked in the other 2 years. That is 22 questions in all, about 7% of Mathematics.

Which Triangles topics repeat in CBSE Class 10?

Asked in the most papers: Basic Proportionality Theorem, Similar Triangles, Areas of Similar Triangles. The concept table lists every one with its count.

Are these official CBSE Class 10 questions?

Yes. Every question is from an official CBSE Class 10 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.