1. Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?

2. A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Historically, tessellations were used in ancient Rome and in Islamic art. You may find tessellation patterns on floors, walls, paintings etc. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons. = 10 sq. units

3. Case Study - 2 In order to conduct sports day activities in your school, lines have been drawn with chalk powder at a distance of 1 m each in a rectangular shaped ground ABCD. 100 flower pots have been placed at the distance of 1 m from each other along AD, as shown in the following figure. Niharika runs ( 1 4 )th distance AD on the 2nd line and posts a green Flag. Preet runs ( 1 5 ) th distance AD on the eighth line and posts are red flags. Taking A as the origin AB along x -axis and AD along y -axis,

4. Case Study - 3 Saving money is a good habit and it should be inculcated in children from the beginning. A father brought a piggy bank for his son Aditya. He puts one five -rupee coin of his savings in the piggy bank on the first day. He increases his savings by one five-rupee coin daily. (i) If the piggy bank can hold 190 coins of five rupees in all, find the number of days he can contribute to put the five-rupee coins into it (ii) Find the total money he saved. OR If 6 times the 6th term of an A.P., is equal to 9 times the 9th term, find its 15th term.

5. A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/hr; it would have taken 6 hours more than the scheduled time. Find the length of the journey.