Test whether 4,56,832 is divisible by 6 and 9. Show your working using divisibility rules.

The ages of 8 students are: 11, 13, 12, 14, 11, 15, 12, 13.

(a) Find the mean and median of the data

(b) Which value (mean or median) do you think best represents the central tendency of this data? Explain why.

Amit is designing a logo using geometric shapes. He draws:

(a) A closed curve with 4 straight sides

(b) A straight line that extends infinitely in both directions

(c) A shape that has a centre and all points on the boundary are at the same distance from it.

Answer the following questions:

(a) What is the name of the closed curve with 4 sides?

(b) What is the name of the second shape Amit drew?

(c) What is the third shape? What is the name of the line segment joining the centre to any point on the boundary?

Using only ruler and compass, construct an angle of 90°. Then construct an angle of 45° by bisecting it.