:39 S Y
A 73
INTERNATIONAL PUBLIC SCHOOL, KANKE, RANCHI-6
HALF YEARLY EXAMINATION, 2020-21
x
FM: 60
Mathematics
Time: 2 hrs.
55:
VERY SHORT ANSWERVTYPE QUESTIONS
(1 x 5 =5)
1. If d=H.C.F. (48,72). Find the value of d.
2. For what value of k , - 2 is zeroes of the polynomial 3x² +4% +2k ?
3. What is the value of k if pair of linear equation 2kx +5y = 7., 6x -5y = 11 has a unique solution
4. Is 68 a term of the A.P. 7, 10, 13,
5. If a number added to twice the square then the resultant is 21. Write the quadratic equation of
the solution
SHORT ANSWER TYPE QUESTIONS
(2 x 5 = 10)
1 Prove that the points (0,0), (5,5), and (-5,5) are the vertices of a right angled isosceles triangle.
2. The fourth term of an A.P. is 11 The sum of the fifth and seventh term of the A.P. is 24. Find the
common difference.
3. Solve for x. Vāx + 7 - (2x - 7) = 0.
4. For what value of k the pair of the equation kx +2y = 5, 3x - 4y = 10 has no solution
5. Check whether 15" can end with the digit zero for any natural number n.
SHORT ANSWER TYPE (11) QUESTIONS (any five)
(3 x 5 = 15)
1. Show that the square of any positive integer can not be the form of 5q +2 or 5q +3 for any
integer q.
2. Find the zeroes of 3x + 10x +7V3
3. Solve the equation
3x +5y = 12
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