Mathematics Questions for RRB NTPC
Mathematics is the backbone of the RRB NTPC paper – predictable, high-yield, and extremely coachable. This article collects the most important types of Mathematics Questions for RRB NTPC, explains why they matter, gives representative practice questions with worked solutions, and offers a practical strategy and cheat-sheet you can use during revision.
Download RRB NTPC Mathematics Questions PDF
We have given below a free PDF on the top RRB NTPC Mathematics Questions. To understand the difficulty level of the questions, download and start practising.
Practice the Most Repeated Questions for RRB NTPC Mathematics (Live)
Given below are some of the most repeated mathematics questions for RRB NTPC Exam. Attempt them live and check your score as per the real exam marking scheme.
Q1. The area of a rectangle is 720 sq cm and its length is 30 cm. The breadth is?
Q2. The radius of a circle whose area is 154 sq cm is?
Q3. The volume of a cube is 512 cm3. The length of each edge is?
Q4. The value of (√25 + √49)2 is?
Q5. If x − 1/x = 3, then x2 + 1/x2 is?
Q6. The sum of the first 15 natural numbers is?
Q7. The difference between the compound interest and simple interest on ₹10,000 for 2 years at 10% p.a. is?
Q8. If a man walks at 5 km/h instead of 4 km/h, he reaches his destination 15 minutes earlier. The distance is?
Q9. The length of the diagonal of a square whose side is 14 cm is?
Q10. The ratio of the areas of two circles is 9:16. The ratio of their radii is?
Q11. The average of 8 numbers is 15. If each number is increased by 5, the new average is?
Q12. If the perimeter of a square is 64 cm, its area is?
Q13. A sum amounts to ₹8000 in 2 years at 25% p.a. simple interest. The principal is?
Q14. The HCF of 306 and 657 is?
Q15. The least number which should be added to 1234 to make it divisible by 9 is?
Quiz Summary
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Q16. The number of sides of a polygon whose each interior angle is 150° is?
Q17. If the cost price of an article is ₹500 and the selling price is ₹650, the profit percent is?
Q18. The average speed of a journey where a person travels at 40 km/h and returns at 60 km/h is?
Q19. The value of sin 30° + cos 60° is?
Q20. If the radius of a sphere is doubled, the volume becomes how many times?
Q21. If the sum of the digits of a two-digit number is 10 and the number formed by reversing the digits is 36 more than the original number, the original number is?
Q22. The smallest prime number which leaves a remainder 1 when divided by 4, 6 and 8 is?
Q23. If 5x − 7 = 3x + 9, then the value of x is?
Q24. The ratio of the present ages of A and B is 5:7. After 6 years, the ratio becomes 3:4. The present age of A is?
Q25. The sum of the squares of two consecutive even numbers is 200. The numbers are?
Q26. A sum of money doubles itself in 8 years at simple interest. In how many years will it become triple?
Q27. The difference between the areas of two concentric circles is 308 cm2. If the radius of the larger circle is 14 cm, the radius of the smaller circle is?
Q28. If a train crosses a platform in 36 seconds and the same train crosses a man standing on the platform in 12 seconds, the length of the platform is?
Q29. The value of (32 + 42 + 52) is?
Q30. The LCM of two numbers is 360 and their HCF is 12. If one number is 72, the other number is?
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What is the importance of Mathematics Questions in RRB NTPC exam?
Mathematics is an important subject in the RRB NTPC Syllabus as it is a high-scoring section for the candidates. Some of the main reasons are given below:
- They appear repeatedly across years and zones.
- Many are short, objective, and mark-dense – quick wins if practiced.
- With timed practice you can score high in the Maths section even if your fundamentals are average.
What are the important RRB NTPC Mathematics Topics?
The important RRB NTPC Mathematics topics include number system, divisibility, ratio and proportion, algebra, and more. Given below are the details:
- Number System & Divisibility – LCM, HCF, remainders, divisibility rules.
- Ratio, Proportion & Percentage – mixtures, profit & loss, successive percentages.
- Time, Speed & Distance – relative speed, trains, boats and streams.
- Work & Time – efficiency problems, pipes and cisterns.
- Algebra (Basic) – linear equations, simple quadratics, surds.
- Simple & Compound Interest – yearly/compound, nominal vs effective.
- Mensuration – area, perimeter, surface area & volume of common shapes.
- Geometry & Trigonometry (basic) – angles, triangles, sin/cos basics for simple problems.
- Average, Ratio & Proportion, and Problems on Ages – direct formulaic application.
- Partnership, Probability & Permutation/Combination (basic) – mostly short questions.
What is the Latest Update on RRB NTPC 2026?
The latest official RRB NTPC update is that the 2026-27 Notification is going to be released soon for both Graduate and Undergraduate recruitments. Candidates preparing for upcoming RRB NTPC stages should continue practicing Maths questions, previous year papers and mock tests while checking their respective official RRB website for further notices.
What are the common mistakes that should be avoided?
There are certain mistakes, such as skipping unit conversions, using a calculator, and more, that should be avoided by the candidates. Some of these are given below:
- Skipping unit conversions (km/h to m/s).
- Misreading “successive” vs “simultaneous” percentages.
- Neglecting to rationalise surds or simplify fractions wastes time.
- Using calculator habits in mock tests; practice without a calculator where possible (paper-based exam mindset).
What is the appropriate time management strategy for RRB NTPC Exam?
The appropriate time management strategy is to divide every important mathematics topic according to its weightage. Check out the details:
- First 10–12 minutes: solve all very easy arithmetic and number system questions (easy marks).
- Next 20–25 minutes: take on time/speed, work/time, and straightforward algebra.
- Last 15–20 minutes: tackle mensuration, geometry and trickier algebra.
- If a question looks messy or long, mark it and move on – come back only if time permits.
Mathematics Questions for RRB NTPC reward disciplined practice and formula mastery. The exam favours accuracy and speed – both learned through deliberate, repeated practice of the high-priority topics listed above. Use the cheat-sheet and time management plan, practice the representative problems until your method is automatic, and you’ll convert mathematics into a strong scoring section on the RRB NTPC.
FAQs
High-priority topics include Number System, Simplification, Time & Work, Time, Speed & Distance, Ratio & Proportion, Percentage, Profit & Loss, Simple & Compound Interest, Mensuration, and basic Algebra & Geometry. Mastering these areas can help secure maximum marks in the Maths section.
Typically, Mathematics accounts for 25–30 questions in the RRB NTPC CBT-1 and CBT-2 exams, out of 100 questions in total, depending on the stage of the exam.
Yes. Practicing shortcut methods for topics like simplification, percentage, time-speed-distance, and interest calculations can save significant time and improve accuracy during the exam.
Absolutely. Key formulas include:
LCM × HCF = Product of two numbers
Simple Interest: SI = (P × R × T)/100
Compound Interest: A = P(1 + R/100)^T
Time = Distance / Speed, Relative Speed formulas
Area and Volume formulas for rectangle, square, triangle, circle, cylinder, cuboid
Solve topic-wise practice sets first.
Attempt timed mock tests to improve speed and accuracy.
Review mistakes and revise trick methods and formulas regularly.
Focus on high-yield topics first and gradually cover all areas.
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