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Last updated almost 5 years ago
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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.

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1.

NAME OF THE STUDENT

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2.

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3.

The number (π-3) is:

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4.

2.3535 is

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5.

7 x 11 x 13 x 15 + 15 is

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6.

The zeroes of x2-2x-8 are

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7.

If one zero of x2+3x+k is 2, then the value of k is

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8.

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

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9.

The graph of y=p(x), where p(x) is a polynomial in variable x is as follows

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10.

If a pair of linear equations is consistent, then the lines will be

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11.

The value of c for which the pair of equations cx-y=2 and 6x-2y=4 will have infinitely many solutions is:

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12.

The solution of px+qy=p-q and qx-py=p+q is

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13.

A pair of linear equations in two variables that has a common point, i.e., which has only one solution is called a

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:

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How many zeroes are there for the polynomial (shape of the wire)

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The zeroes of the polynomial are:

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16.

Find the quadratic polynomial whose zeroes are -3 and 4

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Name the type of expression of the polynomial

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18.

If answers to all questions he attempted by guessing were wrong, then how many questions did he answer correctly?

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19.

How many questions did he guess?

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20.

If answers to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?

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21.

If answers to all questions he attempted by guessing were wrong, then how many questions were answered correctly to score 95 marks?