ANUVRAT VIDHYALAYA (CBSE) SR SEC SCHOOL
“Sushwani Bagh”, Kalanipakkam, Pin- 635809
ACADEMIC YEAR -2016-17
Standard
Subject
Teacher
: X
: Maths
: VTS
Name of the Student :_________________________
Time : 1 ½ Hrsa
Marks : 50
Date: 05.08.2016
SECTION A
4X1=4
3 2
2
1. If x and y are prime numbers, then HCF of x y and x y is
a) x3y2
b) x2y2
c) x2y
d) xy
2. Euclid’s division lemma states that if a and b are any positive integers, then there exists unique
integers q and r such that
a) a =bq+r, 0< r  b
b) a=bq+r, 0r<b
c) a=bq+rn, 0 <q b
d) a=bq+rn, 0r<b
3. Which of the following is a polynomial?
a) x2 + 1/x
b) 2x2 -3x +1
c) 3x2 – 3x+1
d) x2 + x-2 + 7
4. The graph of a quadratic polynomial intersects the X axis at
a) exactly two points
b) atleast one point c) atmost two points
d) atleast two point
SECTION B
4X2=8
5. Does the following pair of equations represent a pair of coincident lines? Justify your answer?
2x+3y =6, 8x+12y -24 = 0
1
1
𝛼
𝛽
6. If ,  are the zeros of the polynomial f(x) = x2-3x+2, then find + .
7. If the sums of the zeroes of the polynomial f(x)= 2x2-kx-6 is 1 then find the value of K.
8. Explain why 3 X 5 X 7 + 7 is a composite number.
SECTION C
𝑎
6 X 3 = 18
̅̅̅̅̅ in the form of .
9. Express the number 0.3178
𝑏
10. Use Euclid’s division algorithm to find HCF of 81 and 237.
11. Obtain the zeros of 4m2 – 4m+ 1 and verify the relationship between the zeros and co efficients.
12. Check whether g(x) is a factor of f(x) : f(x) = 13x2 -19x2 + 12x+14. g(x) = x2 – 2x +2.
13. For which value of k will the pair of equations kx+3y= k-3, 12x+ky=k, have no solution?
14. Solve: 2x+3y+5=0; 3x - 2y-12=0.
SECTION D
5 X 4 = 20
15. Prove that 7 is an irrational.
16. Using prime factorization method, find HCF and LCM of 72 and 120 and verify that
HCF X LCF – Product of the two numbers,
17. If the zeroes of the quadratic polynomial x2+(a+1) x+b are 2 and -3, then find a and b.
18. The larger of two supplementary angles exceeds thrice the smaller by 20. Find them.
19. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes ¼ when 8 is
added to its denominator, find the fraction.