According to NCF 2005, school Mathematics takes place in a situation where

• children are listeners and the teacher is an active narrator

• children are involved in chorus drill of formulae and pressure of performance in examination

• Mathematics is part of children's life experience

• children are forced to learn all concepts by daily practice

22.

A teacher gives the following problem related to 'discount' to the students for solving. "The Marked Prices (MP) of a shirt and sweater are <200 and ? 300 respectively and the discounts on the marked prices of shirt and sweater are 20% and 12%, respectively. While preparing the bill, the shopkeeper interchanged the discounts on these items by mistake. On getting the bill, Hamida noticed the mistake and paid the actual amount to the shopkeeper. How much money did Hamida pay to the shopkeeper?"

What value does the teacher try to promote through this problem?

• Co-operation

• Sympathy

• Compassion

• Honesty

The difference between the greatest and smallest fraction amongst, $\frac{6}{7}, \frac{8}{9}, \frac{9}{10}, \frac{7}{8} \mathrm{is}$

• $\frac{1}{72}$

• $\frac{2}{63}$

• $\frac{3}{70}$

• $\frac{1}{56}$

The additive inverse of S, where

S = 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... + 49 - 50, is

• - 25

• 1

• 0

• 25

If a = 3¹²⁹ x 5¹²⁸ x 7²² ,

b = 3¹²⁸ x 5¹²⁹ x 7²¹,

c = 3¹²⁸ x 5¹²⁹ x 7²¹ and

d = 3¹²⁷ x 5¹²⁸ x 7²⁴, then HCF of a, b, c and d is

• 3¹²⁸ x 5¹²⁹ x 7²¹

• 3¹²⁷ x 5¹²⁸ x 7²¹

• 3¹²⁷ x 5¹²⁸ x 7²²

• 3¹²⁸ x 5¹²⁸ x 7²¹

$\left(14.96 \times {10}^{10}\right) - \left(3.84 \times {10}^8\right) \mathrm{is} \mathrm{expressed} \mathrm{in} \mathrm{standard} \mathrm{form} \mathrm{as}$

• 1492.16 x 10⁸

• 1.49216 x 10¹¹

• 14921.6 x 10⁹

• 14.9216 x 10¹⁰

The sum of mean, mode and median of the data 6, 3, 9, 5, 1, 2, 3, 6, 5, 1, 3 is

• 12

• 13

• 10

• 11

Natural numbers 4 to 15 are written on different slips (one number on one slip), kept in a box and mixed well. Renu picks up one slip from the box without looking into it. What is the probability that this slip bears a prime number?

• $\frac{1}{3}$

• $\frac{5}{12}$

• $\frac{2}{5}$

• $\frac{3}{11}$

$$\begin{gathered} \mathrm{If} 4{\mathrm{x}}^2 + 12\mathrm{xy} - 8\mathrm{x} + 9{\mathrm{y}}^2 - 12\mathrm{y} \\ = \left(\mathrm{ax} + \mathrm{by}\right)\left(\mathrm{ax} + \mathrm{by} - 4\right), \\ \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} {\mathrm{a}}^2 + {\mathrm{b}}^2 \mathrm{is} \end{gathered}$$

• 13

• 25

• - 9

• 8

In the product of(5x + 2) and (2x² - 3x + 5), the sum of the coefficients of x² and x is

• 9

• - 8 

• - 9

• 8