Class 10 Arithmetic Progressions Practice Questions
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CLASS 10 ARITHMETIC PROGRESSIONS PRACTICE QUESTIONS
SECTION A — MCQs
The 10th term of the AP: 3, 7, 11, 15, … is:
A. 35
B. 39
C. 43
D. 47If the first term of an AP is 2 and the common difference is 5, the 7th term is:
A. 32
B. 35
C. 37
D. 42Which of the following is an AP?
A. 2, 4, 8, 16
B. 1, 3, 5, 7
C. 3, 6, 12, 24
D. 5, 10, 20, 40If a₁ = 7 and d = −3, which term of the AP is −20?
A. 8th
B. 9th
C. 10th
D. 11thThe sum of the first 20 natural numbers is:
A. 200
B. 210
C. 220
D. 230
SECTION B – 1 MARK QUESTIONS
Write the general form of the nth term of an AP.
Find the common difference of the AP: 13, 10, 7, 4, …
Write the first term and common difference of the AP: −5, −1, 3, 7, …
State the formula for the sum of first n terms of an AP.
Is the sequence 2, 2, 2, 2, … an AP? Give reason.
SECTION C — 2-MARK QUESTIONS
Find the 15th term of the AP: 4, 9, 14, 19, …
How many terms of the AP: 3, 7, 11, … must be taken so that their sum is 406?
Find the common difference of an AP whose first term is 18 and the 8th term is −3.
Find the sum of the first 12 terms of the AP: 5, 10, 15, …
If the nth term of an AP is 3n − 2, find its first term and common difference.
SECTION D – 3 MARK QUESTIONS
Find the 20th term of the AP whose first term is 7 and common difference is −3.
Find the sum of the first 25 terms of the AP: 2, 5, 8, …
How many terms of the AP: 6, 13, 20, … must be taken so that their sum is 406?
If the sum of the first 10 terms of an AP is 210 and its first term is 5, find the common difference.
Find the sum of the first 15 multiples of 7.
SECTION E – 4 MARK QUESTIONS
Find the sum of all natural numbers between 100 and 1000 which are divisible by 7.
If the sum of the first n terms of an AP is 3n² + 5n, find its nth term.
Find the sum of the first 40 positive integers divisible by 5.
How many terms of the AP: 8, 15, 22, … must be taken so that their sum is 406?
SECTION F – WORD PROBLEMS
A student saves ₹20 in the first month, ₹25 in the second month, ₹30 in the third month, and so on. How much will he save in 18 months?
A factory produces 120 units in the first year. Every year, its production increases by 15 units. Find the total production in 10 years.
How many terms of the AP: 5, 9, 13, … must be taken so that their sum is 406?
A tower has 20 steps. The first step is 40 cm high and each subsequent step is 2 cm higher than the previous one. Find the total height of the tower.
How many terms of the AP: 3, 7, 11, … must be taken so that their sum is 406?
Class 10 Arithmetic Progressions Practice Questions – Complete CBSE Chapter Guide
Class 10 Arithmetic Progressions Practice Questions are extremely important for CBSE students because this chapter directly tests a student’s ability to apply formulas in real-life situations. Arithmetic Progressions (AP) is one of the most scoring chapters in Class 10 Mathematics when practised properly, yet many students lose marks due to careless mistakes and weak conceptual understanding. Solving high-quality Class 10 Arithmetic Progressions Practice Questions regularly helps students gain full control over this chapter.
As per the latest CBSE exam blueprint, Arithmetic Progressions carries around 5 marks in the Class 10 Board Examination, making it one of the highest-weightage chapters in Maths. Questions are usually asked in the form of numerical problems, application-based questions, and word problems that require step-wise solutions.
Why Class 10 Arithmetic Progressions Practice Questions Are So Important
Arithmetic Progressions is not about memorising formulas; it is about knowing when and how to apply them correctly. Practising Class 10 Arithmetic Progressions Practice Questions helps students:
Understand the concept of a sequence and an arithmetic progression
Identify the first term, common difference, and number of terms
Apply the nth term formula correctly
Use the sum of n terms formula without confusion
Solve real-life problems involving savings, production, distance, and heights
Since most board questions are application-based, regular practice is essential.
Topics Covered Through Class 10 Arithmetic Progressions Practice Questions
All Class 10 Arithmetic Progressions Practice Questions on this page strictly follow the latest CBSE syllabus and cover:
Definition of an arithmetic progression
General term (nth term) of an AP
Finding missing terms in an AP
Sum of first n terms of an AP
Problems based on given sum or nth term
Application-based word problems
No deleted or out-of-syllabus topics are included, ensuring focused board preparation.
Exam Pattern and Trends in Arithmetic Progressions
Recent CBSE board papers show that Class 10 Arithmetic Progressions Practice Questions are often asked as:
MCQs based on nth term or common difference
2–3 mark numerical questions
4–5 mark word problems involving real-life situations
Questions where students must form equations before applying formulas
These questions usually test logical thinking, not direct substitution, which is why students must practise a wide variety of questions.
How These Class 10 Arithmetic Progressions Practice Questions Help You Score 95+
Scoring high in Arithmetic Progressions depends on clarity and methodical solving. The Class 10 Arithmetic Progressions Practice Questions provided here are designed to:
Improve accuracy in using formulas
Help students identify the correct formula quickly
Reduce calculation mistakes
Strengthen step-wise presentation (important for full marks)
Prepare students for tricky word problems
With regular practice, this chapter becomes one of the easiest sources of guaranteed marks.
Common Mistakes Students Make in Arithmetic Progressions
Students often lose marks due to:
Confusing first term with common difference
Using the wrong formula (nth term vs sum formula)
Incorrect substitution of values
Not forming equations properly in word problems
Skipping logical steps in long answers
Solving structured Class 10 Arithmetic Progressions Practice Questions helps eliminate these mistakes naturally.
How to Use This Page Effectively
To make the best use of this page:
Start with MCQs to revise basic ideas
Solve 1–2 mark questions to improve accuracy
Practise 3–4 mark questions carefully
Spend extra time on word problems
Revise step-wise solutions regularly
Following this approach ensures mastery of Class 10 Arithmetic Progressions Practice Questions before the board exam.
Who Should Use These Class 10 Arithmetic Progressions Practice Questions?
This page is ideal for:
CBSE Class 10 students
Students targeting 95–99 marks in Maths
Teachers searching for exam-focused practice material
Students preparing for pre-boards and final exams
The questions are aligned with actual CBSE board difficulty levels.
Final Words
Arithmetic Progressions is a high-weightage and high-scoring chapter when practised thoroughly. Regular practice using high-quality Class 10 Arithmetic Progressions Practice Questions ensures speed, accuracy, and confidence during the exam.
This page is designed to act as a complete practice solution for mastering Arithmetic Progressions and achieving top scores in CBSE Class 10 Mathematics.