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# TET Class 12 Mathematics Solved Question Paper 2012

#### Multiple Choice Questions

1.

While teaching ratio and proportion, Ms Rama demonstrated some computer operations on the screen - 'copy and paste' and 'copy and enlarge' or 'copy and reduce'. This activity maybe

• formative assessment activity

• fun activity to pass time

• pre-content activity to introduce ratio

• post-content activity

C.

pre-content activity to introduce ratio

2.

A large basket of fruits contains 3 oranges, 2 apples and 5 bananas. If a piece of fruit is chosen at random, what is the probability of getting an orange or a banana?

• $\frac{7}{8}$

• $\frac{1}{5}$

• $\frac{4}{5}$

• $\frac{1}{2}$

C.

$\frac{4}{5}$

n(S)=3+5+2=10, n(O)=3, n(B)=5

P(O$\cup$B)=P(O)+P(B)

=$\frac{\mathrm{n}\left(\mathrm{O}\right)}{\mathrm{n}\left(\mathrm{S}\right)}+\frac{\mathrm{n}\left(\mathrm{B}\right)}{\mathrm{n}\left(\mathrm{S}\right)}$

=$\frac{3}{10}+\frac{4}{10}=\frac{8}{10}=\frac{4}{5}$

3.

The symbol  drawn to any size means a + 4 and the symbol  drawn to any size means b2, where a and b are numbers. Then, the value of

• 32

• 9

• 75

• 35

D.

35

means a+4

means b2

consider

=

=72+6-(16+4)

=49+6

=55-20=35

4.

How many times will I be writing 2 if wrote down numbers from 11 to 199?

• 38

• 39

• 36

• 37

B.

39

Number of 2's from 1 to 100 = 20
2, 12, 20, 21, 22, ........ , 29, 32, 42, 52,62,72, 82,92)

Similarly, the number of 2's from 101 to 199 = 20

Total number of 2's from 1 to 199 =20 + 20 = 40

But we are to take 2's from 11 to 199.

Therefore, the required number of 2's =40-1= 39

5.

While solving a problem based on 'Pythagoras theorem', a teacher draws the following $∆$ ABC.

Rajan argued that the ABC is not drawn correctly. The only way to draw is

Rajan has the misconception as

• he has dysgraphia

• he lacks in analytical ability

• he is weak in geometrical concepts

• his teacher must have always drawn the triangle in this particular way

D.

his teacher must have always drawn the triangle in this particular way

Whenever spatial reasoning is concerned it is important that the child needs to be provided with the perceptual variability, here the error is due to the fact that the child is not offered perceptual variability to the learner.

6.

Summative Assessment of the unit'Mensuration' can be done through

• paper-pencil test

• ICT activity

• project work

• maths lab activity

A.

paper-pencil test

The goal of summative assessment is to evaluate student learning at the end of an instructional unit by comparing it against some standard or benchmark, so a paper-pencil test would be best suited.

7.

If xy=6 and x2y+y2x+x+y=63, then the value of x2+y2 is

• 61

• 69

• 23

• 55

B.

69

Given,x2y+xy2+x+y=63, and xy=6

$⇒$xy(x+y)+(x+y=63

$⇒$(x+y)(xy+1)=63

$⇒$(x+y)(6+1)=63 (xy=6,given )

$⇒$x+y=9

Sqauring both sides

$⇒$(x+y)2=92

$⇒$x2+y2+2xy=81

$⇒$x2+y2=81-2(6)

$⇒$x2+y2=81-12

$⇒$x2+y2=69

8.

A suitable approach to introduce Coordinate Geometry in Class IX is through the use of demonstration using

• technology integration

• solving problems

• lecture method

• role play

A.

technology integration

For introducing the concept of coordinate geometry the technology could be the best method since there is software like GeoGebra that can provide the idea of coordinates even in a three-dimensional plane.

9.

Ankur got zero marks in a word problem on linear equations in an assessment. The teacher knows that he can solve linear equations correctly. The teacher ought to remark in his report

• Ankur has a problem in comprehending the language of the question, though he can solve the equations

• Ankur lacks concentration and hence has examination phobia

• Ankur is not studying and practising at home

• Ankur has not understood the concept of linear equations completely

A.

Ankur has a problem in comprehending the language of the question, though he can solve the equations

According to the given conditions of Ankur, it is clear that Ankur has a problem in comprehending the language of the question, though he can solve the equations and this report should be remarked by the teacher.

10.

A student observed the following examples
(10)2
= (5+5)= 52 + 2(5)(5) + (5)= 100
= (6+4)= 62 + 2(6)(4) + (4)2 = 100
= (8+2)= 82 + 2(8)(2) + (2)2 = 100
= (1+9)= 12 + 2(1)(9) + (9)2 = 100

and concluded that

(a +b)2 =a2+2(a)(b) + b2

The above method of drawing conclusions is

• analytical

• activity

• deductive

• inductive

D.

inductive

Inductive reasoning is an approach to logical thinking that involves making generalizations based on specific details. Here the specific cases of (100)2 are considered, based on which the generalization is made.