Arithmetic Progressions CBSE Class 10 PYQ Chapter Wise

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Answer first

Arithmetic Progressions PYQs (previous year questions) for CBSE Class 10: Arithmetic Progressions (Mathematics) had 28 questions across the 40 official CBSE Class 10 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Sum of AP, nth Term of AP, Consecutive AP Terms.

Year-wise question count

Asked in 10 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Arithmetic Progressions PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Arithmetic Progressions 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.6 (Mathematics Standard (30/1/1)) · MCQ · Common Difference: Common difference of an AP of multiples of root 2 PDF
• Q.36 (Mathematics Standard (30/1/1)) · Case-based · Sum of AP: Potato race distances forming an AP and total distance PDF

CBSE Class 102025

• Q.11 (Mathematics Standard (30/1/1)) · MCQ · Sum of AP: Second term of AP from formula for sum of m terms PDF
• Q.36 (Mathematics Standard (30/1/1)) · Case-based · nth Term of AP: Charity run rounds increasing by 50 m: terms and total PDF

CBSE Class 102024

• Q.4 (Mathematics Standard (30/1/1)) · MCQ · Sum of AP: Number of terms from first term, nth term and sum PDF
• Q.33 (Mathematics Standard (30/1/1)) · Long answer · Sum of AP: First term, common difference and sum of 20 terms of an AP PDF

CBSE Class 102023

• Q.3 (Mathematics Standard (30/1/1)) · MCQ · Consecutive AP Terms: Find p so three expressions are in AP PDF
• Q.35 (Mathematics Standard (30/1/1)) · Long answer · nth Term of AP: Ratios of terms and of sums given ratio of 11th to 17th term PDF

CBSE Class 102022

• Q.1 (Mathematics Standard (30/1/1)) · Short answer · Sum of AP: Sum of first 30 terms of a decreasing AP PDF
• Q.13 (Mathematics Standard (30/1/1)) · Case-based · nth Term of AP: Matchstick pattern AP: nth term and figure with 61 sticks PDF

CBSE Class 102020

• Q.6 (Mathematics Standard (30/1/1)) · MCQ · Consecutive AP Terms: Find x so three expressions are consecutive AP terms PDF
• Q.7 (Mathematics Standard (30/1/1)) · MCQ · nth Term of AP: 10th term from first term p and common difference q PDF
• Q.21 (Mathematics Standard (30/1/1)) · Short answer · Consecutive AP Terms: Show three algebraic squares are in AP PDF
• Q.36 (Mathematics Standard (30/1/1)) · Long answer · AP Terms: Four AP numbers from sum and product ratio PDF

CBSE Class 102019

• Q.4 (Mathematics (30/1/1)) · Very short answer · nth Term of AP: Count of two-digit numbers divisible by 3 PDF
• Q.8 (Mathematics (30/1/1)) · Short answer · nth Term of AP: Which term exceeds the 21st term by 120 PDF
• Q.24 (Mathematics (30/1/1)) · Long answer · Sum of AP: Sum of n terms given sums of first 4 and first 14 terms PDF

CBSE Class 102018

• Q.4 (Mathematics (30/1)) · Very short answer · nth Term of AP: First term from common difference and 7th term PDF
• Q.9 (Mathematics (30/1)) · Short answer · Sum of AP: Sum of first 8 multiples of 3 PDF
• Q.24 (Mathematics (30/1)) · Long answer · AP Terms: Four AP numbers from sum and product ratio PDF

CBSE Class 102017

• Q.1 (Mathematics (30/1)) · Very short answer · nth Term of AP: Common difference from a difference of two given terms PDF
• Q.6 (Mathematics (30/1)) · Short answer · nth Term of AP: Which term of a decreasing AP is first negative PDF
• Q.12 (Mathematics (30/1)) · Short answer · Sum of AP: Number of terms and common difference from first, last term and sum PDF
• Q.23 (Mathematics (30/1)) · Long answer · Sum of AP: Ratio of 9th terms from ratio of sums of two APs PDF

CBSE Class 102016

• Q.2 (Mathematics (30/1)) · Very short answer · Consecutive AP Terms: Find k so three expressions in k form consecutive AP terms PDF
• Q.9 (Mathematics (30/1)) · Short answer · nth Term of AP: Given 4th term zero, prove 25th term is thrice the 11th PDF
• Q.15 (Mathematics (30/1)) · Short answer · Sum of AP: Ratio of mth terms from ratio of sums of two APs PDF
• Q.27 (Mathematics (30/1)) · Long answer · Sum of AP: Show a house number X splits sums of house numbers 1 to 49 equally PDF

Other Mathematics chapters

• Real Numbers PYQs
• Polynomials PYQs
• Pair of Linear Equations in Two Variables PYQs
• Quadratic Equations PYQs
• Triangles PYQs
• Coordinate Geometry PYQs
• Introduction to Trigonometry PYQs
• Some Applications of Trigonometry PYQs
• Circles PYQs
• Constructions PYQs
• Areas Related to Circles PYQs
• Surface Areas and Volumes PYQs
• Statistics PYQs
• Probability PYQs

FAQ

How many Arithmetic Progressions questions come in CBSE Class 10?

In the official papers we tagged: 2 in 2026, 2 in 2025, 2 in 2024, 2 in 2023, 2 in 2022, 4 in 2020, 3 in 2019, 3 in 2018, 4 in 2017 and 4 in 2016. That is 28 questions in all, about 9% of Mathematics.

Which Arithmetic Progressions topics repeat in CBSE Class 10?

Asked in the most papers: Sum of AP, nth Term of AP, Consecutive AP Terms. 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.