Class 10 Mathematics Chapter 5: Arithmetic Progressions — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 5: Arithmetic Progressions. Try the solved questions below, then take a free test with instant marking and explanations.
58 questions18 easy, 23 medium, 17 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Which description correctly defines an arithmetic progression (AP)?
- A list of numbers in which each term after the first is obtained by adding a fixed number to the previous term
- A list in which each term is multiplied by a fixed number
- A list of square numbers
- Any list of increasing numbers
Show answer
Answer: A. A list of numbers in which each term after the first is obtained by adding a fixed number to the previous term
Why: The fixed number is the common difference d. [p.51]
Why: The fixed number is the common difference d. [p.51]
Q2. Find the common difference of the AP 6, 3, 0, −3, …
Show answer
Answer: -3 (± 0)
Why: d = 3 − 6 = −3: subtract each term from the next. [p.52]
Why: d = 3 − 6 = −3: subtract each term from the next. [p.52]
Q3. The nth term of an AP is 2n + 1. What is its common difference?
Show answer
Answer: 2 (± 0)
Why: a₂ − a₁ = 5 − 3 = 2. Board question 30/4/1. [p.58]
Why: a₂ − a₁ = 5 − 3 = 2. Board question 30/4/1. [p.58]
Q4. Shakila puts ₹100 into a money box when her daughter is one and increases the amount by ₹50 every year. The bar chart shows the first five years. Why do the amounts form an AP?
- Each bar is ₹50 taller than the one before
- Each bar is double the previous one
- The bars are all equal
- The bars decrease
Show answer
Answer: A. Each bar is ₹50 taller than the one before
Why: a = 100, d = 50. [p.50]
Why: a = 100, d = 50. [p.50]
Q5. What is the nth term (general term) of an AP with first term a and common difference d?
- a + (n − 1)d
- a + nd
- a × dⁿ
- n(a + d)
Show answer
Answer: A. a + (n − 1)d
Why: aₙ = a + (n − 1)d. [p.58]
Why: aₙ = a + (n − 1)d. [p.58]
Q6. Reena’s monthly salary starts at ₹8000 with an annual increment of ₹500. What is her monthly salary in the 6th year (₹)?
Show answer
Answer: 10500 (± 0)
Why: 8000 + 5 × 500 = 10500. [p.49]
Why: 8000 + 5 × 500 = 10500. [p.49]
Practise all 58 questions free
Timed test, marked instantly, with the correct answer and explanation for every question and a chapter-wise report.
Start the free testUnderstand it by doing
Try the interactive Maths Lab for Class 10.
Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 5: Arithmetic Progressions?
58 questions (18 easy, 23 medium, 17 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.