Important Questions for Class 10 Maths: Download Most Repeated CBSE Maths Questions

The Central Board of Secondary Education is going to conduct the 10th Board Maths Exam 2025 on 10th March 2025. To prepare for the same, students may check out Important Questions for Class 10 Maths provided below.

$cbse math most repeated questions$

As per the official date sheet issued by the Central Board of Secondary Education, 10th Board Maths Exam 2025 is going to take place on 10th March 2025. To prepare for CBSE 10 Maths Exam 2025, students must check the most repeated questions from previous years. Checking out Important Questions for Class 10 Maths will give students an idea of what the most crucial chapters and topics are.

Along with going through CBSE Class 10th Math’s Most Repeated Questions, students can also consider practicing previous year questions papers, current year sample paper, model papers and more. Practicing Important Questions for Class 10 Maths will also increase one’s chances to get a higher score and it is one of the most effective ways to prepare for upcoming CBSE class 10th maths examination 2025. Refer to the following to check out CBSE 10 maths most repeated questions.

CBSE Class 10 Maths Most Repeated Questions

Kindly check out the following text to go through CBSE Class 10 Maths Most Repeated Questions from previous years.

Q1. The King, Queen and Jack of clubs are removed from a pack of 52 cards and then the remaining cards are well shuffled. A card is selected from the remaining cards. Find the probability of getting a card

(i) of spades

(ii) of black king

(iii) of clubs

(iv) of jacks

(CBSE 2014-2017, 2020)

Q2. In ΔABC, altitude AD and CE intersect each other at the point P. Prove that

(1) ΔΑΡΕ ~ ΔCPD

(ii) AP x PD = CP x PE

(iii) ΔADB ~ ΔСЕВ

(iv) AB × CE = BC X AD

(CBSE 2014, 2017, 2020)

Q3. Solve the following pair of linear equations graphically:

x + 3y = 6; 2x-3y = 12

Also, find the area of the triangle by the lines representing the given equation with the y-axis. (CBSE 2012-2020)

Q4. A passenger, while boarding the plane, slipped from the stairs and got hurt. The pilot took the passenger in the emergency clinic at the -airport for treatment. Due to this, the plane got delayed by half an hour. To reach the destination 1500 km away in time, so that the passengers could catch the connecting flight, the speed of the plane was increased by 250 km/hour than the usual speed. Find the usual speed of the plane. (CBSE 2011-2020)

Q5. A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. [Use π = 22/7] (CBSE 2011-2020)

Q6. A thief runs with a uniform speed of 100 m/minute. After one minute a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the first minute and increases his speed by 10 m/minute every succeeding minute. After how many minutes the policeman will catch the thief. (CBSE 2011, 2012, 2015-2020)

Q7.The median of the following data is 525. Find the values of x and y, if total frequency is 100:

Class	0-100	100-200	200-300	300-400	400-500	500-600	600-700	700-800	800-900	900-1000
Frequency	2	5	x	12	17	20	y	9	7	4

(CBSE 2011-2020)

Q8.There are 104 students in class X and 96 students in class IX in a school. In a house examination, the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class.

(a) Find the maximum number of parallel rows of each class for the seating arrangement.

(b) Also find the number of students of class IX and also of class X in a row (CBSE 2011, 2013, 2015)

Q9. As observed from the top of a 100 m high light house from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. [Use √3 = 1.732] (CBSE 2011-2020)

Q10. Prove that:

(1 + cot A+ tan A) (sin A - cos A) = sec³ A-cosec³ A / sec² A. cosec² A (CBSE 2011-2020)

Q11. Prove that (2+√3)/5 is an irrational number, given that √3 is an irrational number.

Q12.If sides AB, BC and median AD of ΔАВС are proportional to the corresponding sides PQ, QR and median PM of PQR, show that ΔABC ~ ΔPQR.

Q13. Two people are 16 km apart on a straight road. They start walking at the same time. If they walk towards each other with different speeds, they will meet in 2 hours. Had they walked in the same direction with same speeds as before, they would have met in 8 hours. Find their walking speeds.

Q14. If -4 is a root of the equation x²+2x+4p = 0. Find the value of k for which the quadratic equation x² + px(1+3k) +7(3 + 2k) = 0 has equal roots.

Q15. The ratio of the 11th term to the 18th term of an A.P. is 2: 3. Find the ratio of the 5th term to the 21st term. Also, find the ratio of the sum of first 5 terms to the sum of first 21 terms.

Q16. A bird is sitting on the top of a 80 m high tree. From a point on the ground, the angle of elevation of the bird is 45°. The bird flies away horizontally in such a way that it remained at a constant height from the ground. After 2 seconds, the angle of elevation of the bird from the same point is 30°. Find the speed of the flying bird. (Use √3 = 1.732)

Q17. In the given figure, from a point P, two tangents PT and PS are drawn to a circle with centre O such that <SPT = 120°, Prove that OP = 2PS.

cbse 10 math

Important Questions for Class 10 Maths – Chapter-wise

To check out the chapter-wise most repeated questions of CBSE class 10th maths examination, students may go through the following questions. This will help them figure out the most important units and exercises from each chapter.

Chapter 1: Real Numbers (6 Marks)

Find the HCF & LCM using prime power factorisation.
Find the HCF & LCM and verify the relationship.
Given 2 positive integers a and b expressed as powers of x and y, finding HCF(a, b) or LCM(a, b).
Proving a given number is irrational. √2, 3, ... & 2+ 5/3,

Chapter 2: Polynomials (3-4 Marks)

Finding the zeroes & the number of zeroes from the given graph.
Finding the zeroes of given quadratic polynomial & verifying relationship.
Finding the quadratic polynomial, given sum & product of zeroes.
If a & ẞ are zeroes of the polynomial, find a polynomial whose zeroes are expressed as various forms of a & ẞ.

Chapter 3: Pair Of Linear Equations In Two Variables (4-5 Marks)

Finding whether the given equations are consistent or not.
Finding the value of the variable, given that the pair of LE are intersecting, parallel or coincident.
Solving the given pair of LE by substitution or Elimination Method. (Specific type: Solve: 99x y + 101 = 499, 101x + 99y = 501)
Word Problems: fixed charges, train, age, fraction, reversed digits.

Chapter 4: Quadratic Equations (6 Marks)

Finding the nature of roots of the given QE.
Given the nature of roots, finding the value of variable.

Ex: If -3 is a root of quadratic equation 2x² + px - 15 = 0, while the quadratic equation x² - 4px + k = 0 has equal roots. Find the value of k.

Solving QE: simple form or fraction form Ex: 1/x-2 + 2/ x-1 = 6/x: x≠ 0, 1, 2
Word problems:

Speed of flight or boat
Time taken by taps to fill water

Chapter 5: Arithmetic Progressions (6 Marks)

Finding nth term from the beginning or end.
Finding the common difference of the given AP
Finding 'n', for which the nth term of 2 given APs are equal.
Case study Qs based on finding nth term or sum of n terms

Ex: seats in auditorium, production in nth year, saving in nth year, number of steps covered,...

Chapter 6: Triangles (6-8 Marks)

BPT - Statement & theorem
Finding 'x' using BPT
Finding 'x' using similarity concept
Median related proof question

Chapter 7: Coordinate Geometry (6-9 Marks)

Finding the missing coordinate:

If the point P (6, 2) divides the line segment joining A(6, 5) and B(y, 4) in

Ex: the ratio 3: 1 then the value of y is

Applications of Distance Formula - based on types of triangle
Applications of Section Formula - based centroid, median, mid point, trisection,
Case Study Question based on the above

Chapter 8: Introduction to Trigonometry (7 Marks)

Given the value of a trigonometric ratio, finding the others.

[Pythagoras Theorem Application]

Proof related question based on trigonometric ratios & reciprocals.
Questions based on simply applying trigonometric table values.
Proof related question based on trigonometric Identities.

Chapter 9: Some Application of Trigonometry (5 Marks)

Finding the angle or height or length based on sun's elevation.
Height of tower or building.
Distance between cars, ships, or two people.
Speed related Problem - Car, Bird, flight

Chapter 10: Circles (6-7 Marks)

Finding the length of radius chord or tangent.
Proof Related questions.
Based on the perimeter of the figure circumscribing the circle.

Ex: In the given figure, a circle touches all the four sides of quadrilateral ABCD with AB = 6 cm, BC = 7 cm and CD = 4 cm, then length of AD is

cbse 10 math

Chapter 11: Area Related to Circles (4-5 Marks)

Problems related to perimeter or circumference & area of a circle
Area of sector (Major & Minor)
Area of segment (Major & Minor)
Length of arc
Related to the ratio of area/perimeter of circle & square.

6 Wheel problems

Ex:

→ The diameter of a wheel is 1.26 m. What the distance covered in 500 revolutions

→ The wheel of a motorcycle is of radius 35 cm. How many revolutions are required to travel a distance of 11 m?

Chapter 12: Surface Areas and Volume (5-6 Marks)

Problems related to finding the Total Surface Area or Curved Surface Area or Volume of combination of following types of Solids.

cbse 10 math

Chapter 13: Statistics (6-9 Marks)

Finding Mean using all 3 methods.
Finding Median
Finding Mode
Finding missing frequencies, given any of the measure of central tendency.
Using empirical relationship to find any of the measure of central tendency, given the other two

Chapter 14: Probability (2-5 Marks)

Coin Related: single, double or triple
Dice Related: single or double, prime, odd, even, doublet
Deck of Cards Related
Complement - (Defective)
Bag of colour balls or numbered cards
Vowels or Consonants
What the probability that a leap year selected randomly will have 53 Sundays (Or other days)?