Q 1 – Can we write 0 in the form of p/q?
a.Yes
b. No
c.Cannot be explained
d. None of the above
Q 2 – In between any two numbers, there are:
a.Only one rational number
b. Two rational numbers
c. Infinite rational numbers
d. No rational number
Q 3 – Every rational number is:
a. Whole number
b. Natural number
c. Integer
d. Real number
Q 4 – √9 is __________ number
a.A rational
b. An irrational
c. Neither rational nor irrational
d. None of the above
Q 5 – A binomial of degree 20 in the following is:
a. 20x + 1
b. x/20 + 1
c. x20+1
d. x2+20
Q 6 – The degree of 4x3-12x2+3x+9 is
a. 0
b. 1
c. 2
d. 3
Q 7 – (x2 – x) is ________ polynomial.
a. Linear
b. Quadratic
Cubic
d. None of the above
Q 8 – If the coordinates of a point are (3, 0), then it lies in:
a. X-axis
b. Y-axis
c. At origin
d. Between x-axis and y-axis
Q 9 – If the coordinates of a point are (-3, 4), then it lies in:
a. First quadrant
b. Second quadrant
c. Third quadrant
d. Fourth quadrant
Q 10 – State whether the following statements are true or false. Justify your answers.
i) Every irrational number is a real number.
ii) Every real number is an irrational number.
Q 11 – If the coordinates of a point M are (-2, 9) which can also be expressed as (1 + x, y2) and y > 0, then find in which quadrant do the following points lie : P(x, y), Q(2, x), R(x, y – 1), S(2x, -3y).
Q 12 – Express 0.99999…. in the form p/q, Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
Q 13 – Write the coordinates of A, B, C and D from the figure given alongside. 
Q 14 – Calculate the perimeter of a rectangle whose area is 25x2 – 35x + 12.
Q 15 – Find the value of x3 + y3 + z3 – 3xyz if x2 + y2 + z2 = 83 and x + y + z = 15
Q 16 – If (x – 1/x) = 4, then evaluate (x2 + 1/x2) and (x4 + 1/x4).
Q 17 – Factorise x2 – 1 – 2a – a2.
Q 18 – Locate √3, √7, √23 on the number line.
Q 19 – Find three different irrational numbers between the rational numbers 5/7 and 9/11.
Q 20 – Find five rational numbers between 3/5 and 4/5.
Q 21 – Find the value of k, if x – 1 is a factor of p(x) in each of the following cases:
a.p(x) = kx2 – 2 x + 1
b. p(x) = kx2 – 3x + k
Q 22 – Factorise :
a) x3 + 13x2+ 32x + 20
b) 2y3 + y2 – 2y – 1
Q 23 – Factorise: 2x2+ y2 + 8z2 – 2 √ 2 xy + 4 √ 2 yz – 8xz
Q 24 – Factorise each of the following:
27p3 – 1/216 – 9/2 p2 + 1/4 p
Q 25 – Write the following cubes in expanded form:
Q 26 – Without actually calculating the cubes, find the value of each of the following:
(28)3 + (–15)3 + (–13)3