CASE STUDY 1
One day, due to a heavy storm, an electric wire got bent as shown in the figure. It followed some mathematical shapes of curves. Answer the following questions below:
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
CASE STUDY 2
A test consists of true or false questions. One mark is awarded for every correct answer while ¼ mark is deducted for every wrong answer. A student knew answers to some of the questions. Rest of the questions he attempted by guessing. He answered 120 questions and got 90 marks.
Question 18
18.
Question 19
19.
Question 20
20.
Question 21
21.
a) one place of decimal
b) two places of decimals
c) three places of decimals
The number (π-3) is:
a) a rational number
b) an irrational number
c) a prime number
2.3535 is
a. a rational number
b. an irrational number
c. a terminating decimal number
7 x 11 x 13 x 15 + 15 is
a) a composite number
b) a prime number
c) an irrational number
The zeroes of x2-2x-8 are
a)2 – 4
b) 4 – 2
c) 2 – 2
If one zero of x2+3x+k is 2, then the value of k is
a) 10
b) -10
c) 0
Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is 0, then the product of the other two zeroes is
a) -ca
b) ca
c) -ba
The graph of y=p(x), where p(x) is a polynomial in variable x is as follows
a) 5
b) 6
c) 4
If a pair of linear equations is consistent, then the lines will be
a) parallel
b) coincident
c) intersecting or coincident
The value of c for which the pair of equations cx-y=2 and 6x-2y=4 will have infinitely many solutions is:
a) 3
b) -3
c) 1
The solution of px+qy=p-q and qx-py=p+q is
a) x = 1 and y = 1
b) x = -1 and y = 1
c) x = 1 and y = 1
A pair of linear equations in two variables that has a common point, i.e., which has only one solution is called a
a) consistent pair
b) inconsistent pair
c) dependent pair
How many zeroes are there for the polynomial (shape of the wire)
a) 5
b) 3
c) 2
The zeroes of the polynomial are:
a) 2, -2, 0
b) 2, 0, 1
c) 2,-2, 5
Find the quadratic polynomial whose zeroes are -3 and 4
a) x2+4x-2
b) x2-x-12
c) x2-7x-12
Name the type of expression of the polynomial
a) quadratic
b) cubic
c) bi-quadratic
If answers to all questions he attempted by guessing were wrong, then how many questions did he answer correctly?
a) 96
b) 95
c) 98
How many questions did he guess?
a) 22
b) 24
c) 26
If answers to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?
a) 65
b) 90
c) 70
If answers to all questions he attempted by guessing were wrong, then how many questions were answered correctly to score 95 marks?