HP Board 10th Maths Model Paper 2024: Download Class 10 Maths Sample Paper PDF (2024)

HPBOSE HP Board Class 10th Maths Model Paper 2024: Keeping in mind the 2025 exams, the Himachal Pradesh Board of School Education (HPBOSE) has released the latest model papers for various subjects for the students of class 10. Students can check model papers for maths, science, social science, hindi and more at the official website, hpbose.org or download directly from the school section of Jagran Josh. This article covers the HP Board Class 10 Maths Model Paper 2024-25.

Students should not shy away from solving model papers as they help them prepare for the exams. Solving model test papers helps students understand their areas of strengths and improvements. You can also check the question paper design and the marking scheme.

Also Check:HP Board Class 10 syllabus 2024-25

Continue reading to download the HP Board Class 10 Maths Model Paper 2024-25. Check the detailed blueprint and distribution of marks for 2025 exams.

HP Board Class 10 Maths Model Paper 2024-25 Blueprint

Students check the blueprint of the Himachal Pradesh Board Maths Model Paper 2024 Class 10.

HP Board Class 10 Maths Model Paper 2024-25

Check the below questions from the HP Board Class 10 Maths Model Paper. Go through them carefully.

Section-A (1 x 16 = 16)

M.C.Q (Choose the right option)

Q1. HCF of 17,23 and 29 is

(a) 17

(b) 23

(c) 1

(d) 0

Q2. Product of two numbers = _____________

(a) LCM + HCF

(b) LCM X HCF

(c) LCM ÷ HCF

(d) None of above

Q3. How many zeroes will quadratic equation 4x² -4x-1= 0 have:

(a) 1

(b) 2

(c) 3

(d) 4

Q4. P(E) + P(E) = …………..

(a) 0

(b) -1

(c) 1

(d) 2

Q5. The roots of quadratic equation will be equal if

(a) b²=4ac<0

(b) b² -4ac=0

(c) b² -4ac>0

(d) b² -4ac<0

Q6. Next term in the A.P -5, -1,3 ………..

(a) 2

(b) 7

(c) 6

(d) -7

Q7. In Trigonometric Identify: 1 + tan²𝜃 = …………

(a) Sin² 𝜃

(b) Sec² 𝜃

(c) Cot² 𝜃

(d) None of these.

Q8. According to Pythagoras theorm (8)² + (15)² = ………….

(a) (16)²

(b) (17)²

(c) (18)²

(d) (19)²

Also Check:NCERT Books for Class 10 (All Subjects)

Q9. A Line intersecting a circle in two points is called a ……………..

(a) Chord

(b) Secant line

(c) Tangent line

(d) Radius (f=T;k)

Q10. Volume of cylinder

(a) 𝜋rh

(b) 𝜋r²h

(c) 2𝜋rh

(d) 1/3𝜋 r²h

Q11. nthTerm of an A.P.

(a) a+(n-1)d

(b) a-(n-1)d

(c) (n-1)d

(d) (n+1)d

Q12. If Sin A =3/4 then value of Cosec A?

(a) 25/4

(b) 7/4

(c) 9/16

(d) 4/3

Q13. All Squares are ………….

(a) Similar

(b) Congruent

(c) Always equal

(d) all of above

Q14. Tangent to circle make an angle of …………. With the radius of circle.

(a) 60°

(b) 70°

(c) 90°

(d) 180°

Q15. Volume of two spheres are in ratio 64 : 27 then the ratio of their surface area is

(a) 3:4

(b) 16:9

(c) 9:16

(d) 27:64

Q16. Sum of zeroes in the polynomial 5y² - 14y + 8 is

(a) 5/2

(b) -5/2

(c ) 14/5

(d) 8/5

Section-B (9 x 2 = 18)

Q17. Express 336 as a product of its prime factor.

Q18. The coordinates of Ram’s house are (6,0) and coordinates of shyam’s house are (0,8) find the distance between houses of Ram and shyam.

Q19. Find the Value of : Sin 60⁰ 30⁰ + Sin60⁰ Cos60⁰.

Q20. Solve the pair of linear equation by the substitution method.

x + y = 14

x – y = 4

Q21. Find the roots of the equation.

√2 x² + 7x + 5√2 = 0

Q22. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that ball drawn is red?

Q23. Prove that the perpendicular at the point of contact to the tangent of circle passes through the centre .

OR

The length of the minute hand of a clock is 6cm. Find the area swept by it when it moves from 9:10 a.m. to 9:20a.m.

Q24. Show that 5 - √3 is irrational.

Q25. Determine the A.P whose third term is 16 and 7th term exceeds the 5th term by 12.

HP Board Class 10 Maths Model Paper 2024-25 Distribution of Marks

To download the complete model paper of HP Board Class 10 Maths 2024-25 along with the blue print in pdf for free, refer to the link below:

Tips to Prepare for HP Board Maths Class 10 Maths Examination

1. Students must first familiarize themselves with the syllabus so as to understand which topics carry more weightage. Ensure that you prepare according to the latest syllabus only.

2. Mathematics is a subject that demands regular practice. It is important that students practice as much as they can. Practice the questions given at the end of each chapter.

3. Students give time to all topics on the basis of their strengths and weaknesses. Don’t let your bias towards your favourite chapter affect the time-table. Make time for revision.

4. Solve the problems from Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to point down points where you get stuck.

5. Solve a number of previous year question papers and give mock tests to get insights into the type and level of difficulty of questions. Solving these will help to increase the speed of students. to check your level of preparedness. Pay attention to the questions that are repeatedly asked every year.

Also, check

NCERT Solutions for Class 10 (2024-2025) All Subjects

CBSE Class 10 Sample Paper 2024-25 (All Subjects)

CBSE Class 10 Syllabus for 2024-2025 (All Subjects)

CBSE Class 10 Deleted Syllabus 2024-2025

CBSE Class 10 Study Plan for 2025 Exam

Related,

Pythagoras Theorem Notes

Prime Numbers Notes

Probability

Relations and Functions

Profit And Loss

Multiplication Tables