# CBSE Class 10 Mathematics Sample Paper Set C

Read and download PDF of CBSE Class 10 Mathematics Sample Paper Set C designed as per the latest curriculum and examination pattern for Class 10 issued by CBSE, NCERT and KVS. The latest Class 10 Mathematics Sample Papers have been provided with solutions so that the students can solve these practice papers and then compare their answers. This will help them to identify mistakes and improvement areas in Mathematics Standard 10 which they need to study more to get better marks in Grade 10 exams. After solving these guess papers also refer to solved Class 10 Mathematics Question Papers available on our website to build strong understanding of the subject

## Mathematics Sample Paper Class 10

Students can refer to the below Class 10 Mathematics Sample Paper designed to help students understand the pattern of questions that will be asked in Grade 10 exams. Please download CBSE Class 10 Mathematics Sample Paper Set C

### Mathematics Class 10 Sample Paper

SECTION-A

1 Find the length of the side of the rhombus whose diagonals measure 16 cm and 12 cm respectively.

2 Find the product of cos 30°.cos 60°.cos 90°.

3 If secθ+tanθ=x, find the value of secθ−tanθ.

SECTION-B

4 Prove that 5 − √2 is an irrational number.

5 Check whether 4n can end with the digit 0 for any natural number n.

6 If x2 +2x+k is completely divisible by x−1 by using division algorithm, then find the value of k.

7 Write the values of sin 0, sin 30, sin 45, sin 60 and sin 90. What happens to the values of sin q, as q increases from 0 to 90 ?

8 Two tankers contain 620 litres and 840 litres of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankers in exact number of times.

9 Find all the zeroes of the polynomial x3+3x2−2x−6, if two of its zeroes are − 2 and 2 . 3

10 The sum of two natural numbers is 240 and they are in the ratio, 3 : 5. Find the numbers.

11 A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles.

12 Draw the graph of the following pair of linear equations : x+3y=6 and 2x−3y=12
Find the ratio of the areas of the two triangles formed by first line, x=0, y=0 and second line x=0, y=0

13 If the polynomial 6x4+8x3+17x2+21x+7 is divided by another polynomial 3x2+4x+1, the remainder comes out to be (ax+b), find a and b.

14 A NGO decided to distribute books and pencils to the students of a school running by some other NGO. For this they collected some amount from different number of people. The total amount collected is represented by 4x4+2x3−8x2+3x−7. The amount is equally divided between each of the students. The number of students, who received the amount is represented by x−2+2x2. After distribution, 5x−11, amount is left with the NGO which they donated to school for their infrastructure. Find the amount received by each student from the NGO.
What value have been depicted here ?

15 “In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle”. Prove it.

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