How many sides does a regular polygon have if its each angle is of measure 108⁰ ?

• 6

• 7

• 8

• 5

Two sheets of paper with measure 22 cm by 28 cm are taken. Each sheet is then rolled into a cylinder, one having the height 22 cm and the other of height 28 cm. The difference in their volumes (in cm³) will be

• 216

• 294

• 316

• 0

"Prove that there is no rational number whose square is 2." This type of proof is

• proof by contradiction

• proof by counter-example

• proof by contraposition

• direct proof

Representation' in Mathematics does not refer to

• expressing an important geometrical result as a theorem

• expressing the given data through graphs

• expressing the number sequence through geometrical patterns

• expressing the relation between two variables as an equation

Which one of the following statements is not true about projects in Mathematics?

• They enhance problem-solving skills

• They establish interdisciplinary linkages

• They make scoring easy in Mathematics

• They promote inquiry skills

6.

$\mathrm{lf} 3 (5\mathrm{x} - 7) - 4(8\mathrm{x} - 13) = 2(9\mathrm{x} - 11) - 17, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \frac{7\mathrm{x} - 5}{11\mathrm{x} - 9}$

• $- \frac{14}{31}$

• $- \frac{9}{13}$

• $\frac{9}{13}$

• $\frac{14}{31}$

$\mathrm{The} \mathrm{value} \mathrm{of} \mathrm{m} \mathrm{such} \mathrm{that} {\left(\frac{2}{9}\right)}^3 \times {\left(\frac{4}{81}\right)}^{ - 6} = {\left(\frac{2}{9}\right)}^{2\mathrm{m} - 1} \mathrm{is}$

•  - 6

• 0

• - 4

• 3

Let x = 597 x 10²²  + 73.5 x 10²¹. When x is expressed in standard form as 6.0435 x 10^m. then the value of m is

• 22

• 23

• 24

• 21

$\mathrm{If} 2\mathrm{m} - \frac{1}{2\mathrm{m}} = 2, \mathrm{where} \mathrm{m} \ne 0, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} {\mathrm{m}}^2 + \frac{1}{16{\mathrm{m}}^2} \mathrm{is}$

• $2\frac{1}{2}$

• 2

• $1\frac{1}{2}$

• 4

In which one of the following cases, the construction of a quadrilateral ABCD is not possible ?

• BC = 4.5cm, AD = 5.5cm, CD = 5cm, AC = 5.5 cm and BD = 7 cm

• $\mathrm{AB} = 6\mathrm{cm}, \mathrm{BC} = 9.5\mathrm{cm}, \angle A = 75°, \angle \mathrm{B} = 150° \mathrm{and} \angle \mathrm{C} = 140°$

• $\mathrm{AB} = 35\mathrm{cm}, \angle \mathrm{B} = 125°, \angle \mathrm{C} = 80° \mathrm{BC} = 55\mathrm{cm} \mathrm{and} \mathrm{CD} = 5\mathrm{cm}$

• $\mathrm{AB} = 4\mathrm{cm}, \mathrm{BC} = 6\mathrm{cm}, \mathrm{AC} = 8\mathrm{cm}, \mathrm{AD} = 5.5 \mathrm{cm} \mathrm{and} \mathrm{DC} = 5\mathrm{cm}$