[Figure 6.1, Cards showing '5', '2', '4', '6', '3'] Two of these cards are chosen at random. They are placed next to each other to give a two-digit number.

1. (a)[Figure 6.1, Cards showing '5', '2', '4', '6', '3'] Two of these cards are chosen at random. They are placed next to each other to give a two-digit number.
2. (a)(i)Find the probability that the two-digit number is less than 30.[1]
3. (a)(ii)List all the possible two-digit numbers that are prime.[2]
4. (a)(iii)Find the probability that the two-digit number is a multiple of 4.[2]
5. (b)Rowan throws a dice 200 times. The bar chart shows his results. [Figure 6.2, Bar chart]
6. (b)(i)Use the bar chart to complete the table of results. [Table] Number on dice: 1, Frequency: 46. Number on dice: 2, Frequency: 31. Number on dice: 3, Frequency: 28. Number on dice: 4, Frequency: [blank]. Number on dice: 5, Frequency: [blank]. Number on dice: 6, Frequency: [blank].[1]
7. (b)(ii)Using Rowan's results, find the relative frequency that he threw a number less than 3.[2]
8. (b)(iii)Rowan says that the dice he has thrown is not a fair dice. Make two comments to explain why the dice may not be fair.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.