# CBSE Class 10 Mathematics Sample Paper 2017 Set M

Read and download PDF of CBSE Class 10 Mathematics Sample Paper 2017 Set M 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 2017

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 2017 Set M

### Mathematics Class 10 Sample Paper 2017

1] The decimal expansion of the rational number 23/ 22.5 will terminate after.

A. more than three decimal places

B. three decimal places

C. two decimal places

D. one decimal place

2] n2 - 1 is divisible by 8, if n is

A. an even integer

B. a natural number

C. an integer

D. an odd integer

3] The lines representing the linear equations 2x - y = 3 and 4x - y = 5:

A. intersect at exactly two points

B. are coincident

C. are parallel

D. intersect at a point

4] Construction of a cumulative frequency table is useful in determining The:

A. all the above three measures

B. mode

C. mean

D. median

5] If x = 3 sec2 θ - 1, y = tan2 θ - 2 then x - 3y is equal to

A. 5

B. 4

C. 3

D. 8

6] If cos θ + cos2 θ = 1, the value of (sin2 θ + sin4 θ) is

A. 2

B. -1

C. 0

D. 1

7] If ΔABC ~ ΔRQP, A = 80°, B = 60°, the value of P is

A. 30°

B. 50°

C. 60°

D. 40°

8] If in a rectangle, the length is increased and breadth is reduced each by 2 metres, the area is reduced by 28 sq mtrs.If the length is reduced by 1 metre and breadth is increased by 2 metres, the area is increased by 33 sq mtrs. Find the length and breadth of the rectangle.

OR

A chemist has one solution which is 40% acid and a second which is 60% acid. How much of each should be mixed to make 10 litres of 50% acid solution.

9] For what values of a and b does the following pairs of linear equations have an infinite number of solutions:
2x + 3y = 7; a (x + y) -b (x - y) = 3a + b - 2

10] A number of the form 15n where n N the set of natural numbers, can never end with a zero. Justify this statement.

11] Solve the equations 2x − y +6 = 0 and 4x + 5y − 16 = 0 graphically. Also determine the coordinate of the vertices of the triangle formed by these lines and the x-axis.

12] What must be subtracted from x3 - 6x2 - 15x + 80 so that the result is exactly divisible by x2 + x - 12

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