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Prepare for your ICSE Class 10 Maths Board Exams with a collection of the most frequently asked and repeated questions covering all key topics. This curated guide presents a collection of the "Most Repeated Questions" (MRQs) from across the syllabus. These questions are consistently featured in past board papers and cover fundamental concepts essential for scoring high marks.
By systematically working through these problems, you will not only reinforce your understanding of core topics like Commercial Mathematics, Algebra, Geometry, and Mensuration but also significantly improve your speed, accuracy, and confidence. Use this resource as your focused practice tool to identify and master the question types that matter most. Start practicing now to turn familiarity into proficiency and secure your target score.
Check: ICSE Class 10 Maths Exam Pattern 2025-26
Check: ICSE Class 10 Maths Syllabus 2025-26
ICSE Class 10 Unit-wise Weightage of Maths 2025-26
The weightage of different topics in the ICSE Class 10 Mathematics exam, presented in a table format:
| Topic | Approximate Weightage | Key Chapters/Concepts |
| Algebra | 20–25% | Quadratic Equations, Progressions, Polynomials |
| Geometry | 15–20% | Triangles, Circles, Constructions |
| Trigonometry | 10–15% | Heights and Distances, Trigonometric Identities |
| Mensuration | 15–20% | Surface Area, Volume, and Areas of 2D Shapes |
| Statistics and Probability | 15–20% | Mean, Median, Mode, Probability |
| Mathematical Reasoning | 5–10% | Logic and Proofs |
ICSE Class 10 Maths Chapter-wise Weightage of 2026:
The below table showing the Unit-wise and Chapter-wise Weightage for the ICSE Class 10 Mathematics Theory Paper (80 Marks):
| Unit Name | Chapter Name | Weightage | Total Marks |
| Commercial Mathematics | Goods and Services Tax (GST) | 5 marks | 13 marks |
| Banking | 4 marks | ||
| Shares and Dividends | 4 marks | ||
| Algebra | Linear Inequations | 4 marks | 32 marks |
| Quadratic Equations in one variable | 5 marks | ||
| Ratio and Proportion | 3 marks | ||
| Factorisation of polynomials | 4 marks | ||
| Matrices | 5 marks | ||
| Arithmetic and Geometric | 4 marks | ||
| Progression | 3 marks | ||
| Coordinate Geometry | 4 marks | ||
| Geometry | Similarity and Loci | 2 marks | 8 marks |
| Circles | 2 marks | ||
| Tangent and Secant Properties | 4 marks | ||
| Mensuration | Area and volume of solids – Cylinder, Cone, and Sphere. | 8 marks | 8 marks |
| Trigonometry | Using Identities to prove simple algebraic trigonometric expressions | 4 marks | 8 marks |
| Heights and distances: Solving 2-D problems involving angles of elevation and depression using trigonometric tables. | 4 marks | ||
| Statistics | Measures of Central Tendency | 4 marks | 8 marks |
| Graphical Representation Histograms and Less than Ogive | 4 marks | ||
| Probability | Random experiments, Sample space, Events, definition of probability, Simple problems on single events. | 3 marks | 3 marks |
| Total (Theory paper) |
|
| 80 marks |
| Internal Assessment |
|
| 20 marks |
ICSE Class 10 Maths Most Repeated Question For 2026 Board Exam
Question 1:
Ben deposits a certain sum of money each month in a recurring deposit account of a bank. If the rate of interest is 8% per annum and Ben gets Rs. 8,088 from the bank after 3 years, find the value of his monthly instalment.
Question 2:
In the given figure, AD is a diameter. O is the centre of the circle. AD is parallel to BC, and ∠CBD = 32°.
Find:
(i) ∠OBD
(ii) ∠AOB
(iii) ∠BED
Question 3:
Prove by factor theorem that
(i) (x – 2) is a factor of 2x3 – x2 – 7x + 2
(ii) (2x + 1) is a factor of 4x3 + 12x2 + 7x +1
(iii) (3x – 2) is a factor of 18x3 – 3x2 + 6x – 8
Question 4:
Find a GP for which the sum of the first two terms is -4, and the fifth term is 4 times the third term.
Question 5:
One pipe can fill a cistern in 3 hours less than the other. The two pipes together can fill the cistern in 6 hours 40 minutes. Find the time that each pipe will take to fill the cistern.
Question 6:
A bag contains 5 white balls, 6 red balls and 9 green balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is:
(i) a green ball
(ii) a white or a red ball
(iii) neither a green ball nor a white ball
Question 7:
Find the minimum length in cm and correct it to the nearest whole number of a thin metal sheet required to make a hollow and closed cylindrical box of diameter 20 cm and height 35 cm. The width of the metal sheet is 1 m. Also, find the cost of the sheet at the rate of Rs. 56 per m. Find the area of the metal sheet required if 10% of it is wasted in cutting, overlapping etc.
Question 8:
Prove:
Question 9:
A circus tent is in the shape of a cylinder surmounted by a conical top of the same diameter. If their common diameter is 56 m, the height of the cylindrical part is 6 m, and the total height of the tent above the ground is 27 m. Find the area of the canvas used in making the tent.
Question 10:
Geetha repays her total loan of 1,18,000 by paying installments every month. If the instalment for the first month is 1,000 and it increases by 100 every month, what amount will she pay as the 30th instalment of the loan? What amount of the loan has she to still pay after the 30th instalment?
Question 11:
Draw an Ogive for the following distribution:
| Class | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 |
| Frequency | 6 | 10 | 18 | 22 | 20 | 15 | 6 | 3 |
Find the median and interquartile range from the obtained ogive.
Question 12:
Rohan deposits Rs 2,250 per month in a recurring deposit account for a period of 3 years. At the time of maturity, he will get Rs 90,990.
(i) Find the rate of simple interest per annum
(ii) Find the total interest earned by Rohan.
Question 13:
Ms. Kumar has an account in ICICI Bank. Entries of his passbook has given below:
| Date, 2008 | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Jan 3 | B/F | _ | _ | 2642 |
| Jan 16 | To self | 640 | _ | 2002 |
| March 4 | By cash | _ | 850 | 2852 |
| April 10 | To self | 1130 | _ | 1722 |
| April 25 | By cheque | _ | 650 | 2372 |
| June 15 | By cash | 577 | _ | 1795 |
Calculate the total amount received by Kumar if he closes his account on August 1, 2008, and the rate of interest is 5% per annum.
Question 14:
A man invests a certain sum on buying 15% Rs. 100 shares at a 20% premium. Find:
(i) His income from one share
(ii) The number of shares bought to have an income from the dividend as Rs. 6480
(iii) The sum invested.
Question 15:
In the given figure, DE ‖ BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Find the lengths of ME and DM.
This compilation of Most Repeated Questions (MRQs) serves as a focused and high-yield practice resource for your ICSE Class 10 Maths Board Exam preparation. By mastering these recurrent question types across Commercial Mathematics, Algebra, Geometry, and Mensuration, you can effectively consolidate your understanding of the core syllabus, boost your problem-solving speed, and significantly enhance your overall exam readiness and confidence to achieve a high score. Consistent practice with these MRQs is the key to turning preparation into performance.
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