One day, two brothers, Zac and Tom, leave their home at different times. They meet at the library before going to the swimming pool. The travel graph represents Zac's journey to the swimming pool.

1. (a)(i)How much time does Zac spend at the library?[1]
2. (a)(ii)Tom leaves their home at 12 30 and cycles to the library at 14km/h. Calculate the time Tom arrives at the library.[1]
3. (a)(iii)How far is the swimming pool from the library?[1]
4. (a)(iv)(a)Zac stays at the swimming pool for an hour and a quarter. He then walks home at a constant speed, arriving at 15 39 . Complete his travel graph.[2]
5. (a)(iv)(b)Calculate Zac's speed, in kilometres per hour, as he walks home.[1]
6. (b)(i)A bag contains 5 red counters, 6 blue counters and 1 green counter. Complete the pie chart to represent this data.[2]
7. (b)(ii)Ahmed takes a counter at random from the bag. Find the probability that the counter is red.[1]
8. (b)(iii)Simeon takes two counters at random from the bag of twelve counters. He places them next to each other on a table. Find the probability that the two counters are different colours.[3]

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