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TET Class 12 Mathematics Solved Question Paper 2011

Multiple Choice Questions

11.

A rectangle is divided horizontally into two equal parts. The upper part is further divided into three equal parts and the lower part is divided into four equal parts. Which fraction of the original rectangle is the shaded part?

$\frac{2}{7}$
$\frac{4}{7}$
$\frac{7}{12}$
$\frac{3}{5}$

12.

To be good in Mathematics, one needs to

have mastery over calculations
create and formulate problems through abstract thinking and logical reasoning
memorise formulae
remember solutions

13.

When introducing mensuration, a teacher writes all the formulae on the board before proceeding further. This reflects that she is following the

deductive approach
experimental approach
practical approach
inductive approach

14.
When recast, the radius of an iron rod is made one-fourth. If its volume remains constant, then the new length will become

$\frac{1}{16}$ times of the original

16 times of the original

4 times of the original

times of the original

16 times of the original

Let the radius of the rod be = r cm and Length be h cm

$∴$ Volume = $π$ r²h cm³

Now taking one-fourth of the radius= $\frac{r}{4}$ cm

and volume will be equal to : $π {(\frac{r}{4})}^{2} New length$

According to the question: $π$ r²h= $π {(\frac{r}{4})}^{2} \times New length$

$\Rightarrow$ $π$ r²h= $\frac{{πr}^{2}}{16} \times New length$

$∴$ New length = 16 h cm

The new length is the 16 fold of the original length

15.

$\frac{4}{16} - \frac{1}{8} = \frac{3}{8}$ , $\frac{6}{7} - \frac{2}{9} = \frac{4}{2}$

The above represents the work of a student. If this error pattern continues, the student's answer $\frac{5}{11} - \frac{2}{7}$ to will be

$\frac{3}{4}$
$\frac{3}{7}$
$\frac{2}{18}$
$\frac{7}{18}$

16.

The value of $\sqrt{2 + \sqrt{3}} + \sqrt{2 - \sqrt{3}}$ is

6
$2 \sqrt{2}$
$2 \sqrt{3}$
$\sqrt{6}$

17.

The area of a triangle with base x units is equal to the area of a square with side x units. Then, the altitude of the triangle is

x units
2x units
3x units
x/2 units

18.

The factorisation of 25-p²-q²-2pq is

(5+p+q)(5-p-q)
(5+p-q)(5-p+q)
(5+p-q)(5-p-q)
(5+p+q)(5-p+q)

19.

Which is greatest among $33 \frac{1}{3}$ %, $\frac{4}{15}$ % and 0.35?

$\frac{4}{15}$
0.35
Can't be compared
$33 \frac{1}{3}$ %

20.

Teachers, while discussing problem-solving as an approach to teaching of Mathematics, articulated four views. Which of the following views does not justify the real meaning of this approach?

'I think many questions found in the Mathematics textbook can be used for problem-solving.'
'I think it is better to connect problem-solving with general Mathematics class.'
'I think there is no correlation between problem-solving and mathematical reasoning.'
'I think questions on problem- solving should be made from situations based on real-life.'