Question

1) Show that 0,235 can be expressed in the form where p and q are integers and
90
29314
2) Evaluate: (V5 + 2/2) - (15-18)2
3) if x = 3+2V2, find the value of: x2 +
x
4) Simplify: IvV+
475-3 15+
5) Simplify: (2x - 5y)' - (2x + 5y)
6) Find the value of 8x + 27y?, if: 2x + 3y = 8 and xy = 2
7) Factorise: 9(2a - b)? - 4(2a - b) - 13
8) Factorise: x + 13x2 + 32x + 20, (x + 2)
9) Evaluate ( + 2y) C - xy + 4y2)
10) Determine the quadrant in which the following points lie:
(1) A(2,4) (2) B(-1,2) (3) C(-2,-4) (4) D(1, -2)
11) Plot the points A(1, -1) and B(4, 5)
(1) Draw a line segment joining these points. Wrote 0 the coordinate of a point
on this line segment between the points A and B
(2) Extend this line segment and write the coordinates of a point, which lies
outside the line segment AB
12) Plot the following points and check whether they are collinear or not:
(1) (1,3), (-1,-1), (-2,-3)
(2) (1, 1), (2, -3), (-1,-2)
13) Ten years ago, father was twelve times as old as his son and ten years hence, he
will be twice as old as his son will be.
14) Give the geometrical representation of 3(x - 6) = 2x - 7 as an equation
(1) In one variable (2) In two variable
15) Find four different solutions of the equation: 2x + y - 5 = 0
16) Find the points where the graph of the equation, 3x + 4y = 12 cuts the x-axis
and the y-axis
17) A coin tossed 1000 times with the following frequencies:
(1) Head: 455
(2) Tail: 545
Compute the probability for each event.
18) A survey of 500 families was conducted to know their opinion about a particular
detergent powder. If 375 families liked the detergent powder and the remaining
families disliked it, find the probability that a family chosen at random:
(1) Likes the detergent powder
(2) Dislikes the detergent powder
19) A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball
is drawn at random, find the probability that it is: (1) black (2) not green​

Answer 1

Step-by-step explanation:

19. total balls =24

1. 17/24

2.20/24