CBSE Class X Maths Sample Paper 2016

1. Write the number of solution of the following pair of linear equations:
x + 2y -8 = 0, 2x + 4y =16
2. If two zeros of the polynomial f(x) = x3 – 4x2 – 3x + 12 are √3 and -√ 3 , then find its third
zero.
3. Evaluate: tan5°tan25°tan30°tan65°tan85°
4. Express sin 67o + Cos 75o in term of trigonometric ratios of angles between 0o and 45o .


SECTION – B
5. Find the class marks if classes 15.5 – 18.5 and 50 – 75.
6. Find the values of a and b for which the following system of linear equations has infinite
number of solutions. 2x + 3y = 7, 2ax + (a+ b)y = 28
7. The areas of two similar triangles ABC and PQR are 64 cm2 and 121 cm2 respectively. If QR =
15.4 cm, find BC.
8. Given that sin(A + B) = sinAcosB + cosAsinB, find the value of sin75°.
9. A survey conducted on 20 households in a locality by a group of students resulted in the
following frequency table for the number of family members in a household. Find the mode.

Family Size	1-3	3-5	5-7	7-9	9-11
no of families	7	8	2	4	1

10. The perimeters of two similar triangles are 30 cm and 20 cm. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.
.11. Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.

12. Solve:
ax + by= a b
bx +ay= a b

...