Given here are some figures

Classify each of them on the basis of the following

(a) Simple curve

(b) Simple closed curve

(c) Polygon

(d) Convex polygon

(e) Concave polygon

Concept: Introduction of Quadrilaterals

How many diagonals does following have?

A convex quadrilateral

Concept: Introduction of Quadrilaterals

How many diagonals does following have?

A regular hexagon

Concept: Introduction of Quadrilaterals

How many diagonals does following have?

A triangle

Concept: Introduction of Quadrilaterals

What is the sum of the measures of the angels of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

Concept: Introduction of Quadrilaterals

Find the ratio of the Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

Concept: Recalling Ratios and Percentages

Find the ratio of 5 m to 10 km

Concept: Recalling Ratios and Percentages

Find the ratio of 50 paise to Rs 5

Concept: Recalling Ratios and Percentages

Convert the following ratios to percentages.

3:4

Concept: Recalling Ratios and Percentages

Convert the following ratios to percentages.

2:3

Concept: Recalling Ratios and Percentages

72% of 25 students are good in mathematics. How many are not good in mathematics?

Concept: Recalling Ratios and Percentages

A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Concept: Recalling Ratios and Percentages

If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Concept: Recalling Ratios and Percentages

If 60% people in city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.

Concept: Recalling Ratios and Percentages

For each of the given solid, the two views are given. Match for each solid the

corresponding top and front views.

Concept: Views of 3D-shapes

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Concept: Introduction of Mensuration

Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m^{2}.

Concept: Introduction of Mensuration

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]

Concept: Introduction of Mensuration

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m^{2}? (If required you can split the tiles in whatever way you want to fill up the corners).

Concept: Introduction of Mensuration

An ant is moving around a few food pieces of different shapes scattered on the floor. For which food − piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression *c* = 2*πr*, where *r* is the radius of the circle.

Concept: Introduction of Mensuration