WorksheetsReal Numbers / Polynomials / Lines and Angles / by Rohit Nai
Total questions: 25
Worksheet time: 50mins
The decimal representation of a rational number is
Always terminating
Either Terminating or Repeating
Either terminating or non repeating
Neither terminating nor-repeating
(625)^0.16 X (625)^0.09
5
25
125
625.25
An irrational number between 1/7 and 2/7 is
1/2 (1/7+2/7)
(1/7 X 2/7)
Underoot of (1/7 X 2/7)
None of these
√3 is a polynomial of degree
1/2
2
1
0
The zeroes of the polynomial p(x) = x^2 - 3x
0
3
0 and 3
None of these
If two angles are complementary of each other then each angle is
Acute angles
Obtuse angles
Right angles
Acute and Reflex angles
The measure of an angle is five times its complement, the measure of the angle is
25°
35°
65°
75°
Which of the following statements is false
Through a given point only one straight line can be drawn
Through two given points it is possible to draw one and only one straight line
Two straight lines can intersect only at one point
A line segment can be produced to any desired length
If 3∠A = 4∠B = 6∠C, then A:B:C is
3:4:6
4:3:2
2:3:4
6:4:3
If one of the angle of an isoceles triangle is 120 degree then the angle made by the bisectors of the base angles is
150
50
100
None of these
Express 0.123 bar in the form of a rational number (1mark)
If 6 / (3 √2 - 2 √3) = a √2+ b √3 then find the values of a and b (1mark)
Find the remainder when polynomial p(x) = 6x² + 11x - 35 is divided by 2x-1 (1mark)
In the given figure AB||CD, if Angle OAB is equal to 124 degree and Angle OCD is equal to 136 degree, then find angle AOC (1mark)
In the given figure AB || CD, if angle ABO = 130° and angle OCD = 110°, find angle BOC (1mark)
Prove that if two lines intersect each other then the pair of vertically opposite angles are equal (2marks)
In the given figure OP,OQ, OR and OS are four rays. Prove that angle POQ+ angle QOR+ angle SOR+ angle POS=360°
Factorize : -4x² - 7x +12 = 0 (2marks)
Factorize : 2a^5 - 32a (2marks)
If x = (2+√3), find the value of
(x^2 + 1 / x^2) (2marks)
Prove that (3marks)
Expand : (-3a+4b-5c)^2 (3marks)
Prove that sum of the interior angles of a triangle is 180° (3marks)
In the given Fig., the sides AB and AC of ∆ABC are produced to points E and D respectively. If bisectors BO and CO of ∠ CBE and ∠ BCD respectively meet at point O, then prove that :∠ BOC = 90° – 1/2 ∠BAC (4marks)
Factorize x^3 - 23 x^2 + 142x -120 (4marks)
