CBSE Maths Sample Paper for Class 10
Central Board of Secondary Education conducts Board Exams every year in the month of March. To get excellent marks every appearing students need to prepare well before the day of exam. Thus for this purpose, here in this section you will find out CBSE Maths Sample Paper for Class 10 for better preparation of Board Examination. Choice of questions are made as per the latest Board pattern to get students idea of type of questions asked in the exam. So practice well and secure good marks. For more help you can also take help from Chemistry and Maths Formulas for more practice.
CBSE Sample Paper for Class 10 Maths
Class X Duration: 3 Hour Marks: 80 Marks
10th CBSE Maths Sample Paper
General Instructions:
a) This paper consist of three sections i.e: A,B and C.
- Section-A: Question 1 to 10
- Section-B: Question 11 to 20
- Section-C: Question 21 to 25
b) All questions are compulsory.
Section-A[ 30 marks]
1) If the point C (1, 2) divides internally the line segment AB in the ratio 3 : 4, where the coordinates of A are (2, 5), find the coordinates of B.
2) Find the value of a and b so that the polynomials p(x) and q(x) have (x + 1)(x – 2) as their HCF. p(x) = (x2 + 3x + 2)(x2 + x + a) q(x) = (x2 – 3x + 2)(x2 – 3x + b).
3) Draw a circle of radius 5.5 cm. At a point A on it,draw a tangent to the circle without using the centre.
4) Three consecutive vertices of a parallelogram are (2,1);(1,0) and (4,3).Find the coordinates of the fourth vertex.
5) An integer is chosen from 1 to 50 at random. Find the probability that the number is:
(i) Divisible by 5
(ii) A perfect cube
(iii) A prime number.
6) A bay has a toy which is in the form of a cone mounted on a hemisphere with the same radius. The base diameter of the conical portion is 6 cm and the total height of the toy is 15 cm. Find the volume of the toy.
7) The annual income of Sheena (excluding HRA) is Rs. 1,50,000. She contributes Rs. 4000/-month to her mother fund and pays a half yearly insurance premium of Rs. 4000. Calculate the income tax along with surcharge Shenna has to pay in the last month of the year if her earlier deductions as income tax for the first 11 months were at rate is of Rs. 200/- month.
(a) Standard Deduction 2/3 of the total income subjected to a max. of Rs. 10,000
(b) Rates of Income tax Slab
(i) Upto Rs. 40,000
(ii) From Rs. 40,001 to 50,000
(iii) From Rs. 50,001 to Rs. 1,40,000
(c) Rebate in Tax 10% of the total savings subject to a max. value of Rs. 11,000
(d) Surcharge 20% of the tax is payable
8) A part of monthly charges in a college are fixed and the remaining depends on the number of days one has taken food in the mess. When a student S takes food for 10 days, he has to pay Rs. 500 as charges where as a student S’, who takes food for 13 days, pays Rs. 5900 as charges. Find the fixed charge and the cost of food per day.
9) The slant height of a frustum of a cone is founded as 4 cm. If the difference between the radii of its two circular ends is 2 cm, find the actual height of present frustum.
10) Write all the values of k for which the quadratic equation 2×2+kx+8+0, has equal roots. Also find roots.
Section-B[30 marks]
11) If the points A (4, 3) and B(x, 5) are on the circle with the centre O (2, 3), find the value of x.
12) The product of a two digit number is 18. If 5 is added to the number, both the digits interchange their places then Find the numbers.
13) Find the locus of centers of circle which touch two interesting lines.
14) For what value of p are 2p, p + 10 and 3p + 12 in A.P.?
15) Evaluate without using trigonometric table: cos 75o/sin 15o + sin 12o/cos 78o – cos 18o/sin 72o
16) Find the value of a for which the system of equation 8x + 5y = 9, ax + 10y = 15 has unique solution.
17) Draw a pair of tangents to a circle of radius 5 cm. Which are incline to each other at an angle of 60%?
18) All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random then find the probability of getting
(a) a red face card,
(b) a king,
(c) a diamond queen.
19) Find the area of the quadrilateral whose vertices are taken in order (–4, –2), (–3, –5), (3, –2) and (2, 3)
20) When tangents are drawn at the ends of a diameter of a circle become parallel. Name the theorem and prove it.
Section-C[25 marks]
21) A quadrilateral PQRS is drawn to circumscribe a circle. Prove that PQ+RS=PS+QR.
22) Draw a triangle ABC with side BC = 6 cm AB = 5 cm and / ABC = 600 , then construct a triangle whose sides are ¾ of the corresponding sides of the triangle ABC.
23) A bus travels 150 km at a uniform speed. If its speed is increased by 4 km per hour then it would take half hour less to complete the same journey. Find the speed of bus.
24) (a) The height of a right triangle is 5 cm less than its base. If the hypotenuse is 12 cm, find the remaining sides.
(b) How many multiples of 5 lie between 20 and 300.
25) Two coins are tossed one after other. Find the probability of getting at least one tail.
For pdf of CBSE Maths Sample Paper for Class 10, follow:
Related links for CBSE Sample Papers for Class 10 :
Mathematics:
- Sample Paper of Mathematics for Class 10th
- CBSE Sample Paper for Class 10 Maths
- Maths Sample Paper for Class 10
Science:
- CBSE Sample Papers for Class 10 Science
- Sample Papers for Class 10 Science
- CBSE 10th Science Model Question Paper
Other:
- CBSE Sample paper for English Class 10
- Sample Paper of Class 10 Social Science
- Foundation of IT CBSE Class X Sample Papers
You are always welcomed to give your feedbacks for further improvement.
Tell us Your Queries, Suggestions and Feedback
143 Responses to CBSE Maths Sample Paper for Class 10
« CBSE Sample Papers for Class 10 Science Syntel Placement Papers with pdf »
sample paper
sample paper
No
Vac bed
10thclass
Mathematics
maths
maths
maths
maths
Faltu changed whole pattern only some wrong question are also there nonsense
maths sample paper
Sample paper needed
kindly provide me the previous 5 years solved papers for all subject of class 10th under cbse
In math
I need sqp of Maths class X CBSE
my doubt is in 10 lesson
No
i want 80 marks sample paper
i want 80 marks sample paper
Maths
Maths
Hi There, thanks for sharing the article. My name is Seshnath Gond and have started new online learning platform for students those preparing for government exams..
Hi There, thanks for sharing the article. My name is Seshnath Gond and have started new online learning platform for students those preparing for government exams.. we provide free study material …
Thanks for sharing this.I Am a teacher and me and my team provide free education one for all .Join our hand to serve quality education.
For practicing
Sample papers for 10 cbse
Math model paper
Maths
no
no
Science or math
Science or math
Science or math
half yearly math question paper
half yearly math question paper
half yearly math question paper
half yearly math question paper
7223933379
Maths formulas
no
no
no
no
no
no
no
no
no
no
no
for practice maths
Physics
Sample paper issued by cbse?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is double circulation?
what is the error while proving 1=2/
New pattern sample question papers for class 9 and 10 cbse for the half yearly exam
New pattern sample question papers for class 9 and 10 cbse for the half yearly exam
New pattern sample question papers for class 9 and 10 cbse for the half yearly exam
Model question paper
Modalquestionpaper
Modalquestionpaper
Modalquestionpaper
Modalquestionpaper
Modalquestionpaper
Modalquestionpaper
Modalquestionpaper
Modal questionpaper
Modal questionpaper
Modal questionpaper
Got a sample paper of 10 class for preparation of exam
Mbffyiu
I can’t understand Maths
CLASS 10 PRACTICE PAPER FOR HALF YEARLY OF NEW SYLLABUS OF CBSE
no ————————————————-