# CBSE Class 10 Mathematics Sample Paper 2015 Set N

Read and download PDF of CBSE Class 10 Mathematics Sample Paper 2015 Set N 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 2015

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 2015 Set N

### Mathematics Class 10 Sample Paper 2015

SECTION A

Q1. Solve the following system of equations :

15x + 4y = 61

4x + 15y = 72

Q2. Which term of the A.P. 3, 15, 27, 39.... is 132 more than its 54th term ?

OR

Derive the formula for the sum of first n terms of an A.P. whose first term is 'a' and the common difference is 'd'

Q3. Find the sum of the following arithmetic progression 1+3+5+7+................+199

Q4. Show that a line drawn parallel to the parallel sides of a trapezium divides the non nonparallel sides proportionally.

Q5. A suit is available for Rs. 1500 cash or for Rs. 500 cash down payment followed by 3 monthly instalments of Rs. 345 each. Find the rate of interest charged under the instalment scheme.

Q6. A loan has to be returned in two equal annual instalments. If the rate of interest is 16% per annum compounded annually and each instalment is of Rs. 1682, find the sum borrowed and the total interest paid.

Q7. If (x — 2) is a factor of x2 + ax + b and a + b = 1, find the values of a and b.

Q8. Using quadratic formula, solve the following equation for x :
abx2 + (b2 —ac) x — bc = 0
OR

The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller, find the numbers.

Q9. Which term of the A.P. 3, 15, 27, 39.... is 132 more than its 54th term ?
OR
Derive the formula for the sum of first n terms of an A.P. whose first term is 'a' and the common difference is 'd'

Q10. Find the sum of the following arithmetic progression
1+3+5+7+................+199

Q11. Show that a line drawn parallel to the parallel sides of a trapezium divides the non nonparallel sides proportionally

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