Higher June 2025 Paper 6 Q1
1 A fair four-sided dice is numbered 3, 4, 5 and 6.
The dice is rolled twice and the two scores are multiplied together.
(a) Complete the table to show all the possible outcomes.
| First roll | |||||
|---|---|---|---|---|---|
| × | 3 | 4 | 5 | 6 | |
| Second roll | 3 | 12 | 15 | 18 | |
| 4 | 12 | 16 | 20 | 24 | |
| 5 | 15 | 20 | 30 | ||
| 6 | 18 | 24 | 30 | ||
[1]
(b) Find the probability that the outcome is a multiple of 8. [2]
| Answer | Marks | Part marks and guidance | ||||||||||||||||||||||||||||||||||
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| 1 | |||||||||||||||||||||||||||||||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{3}{16}\) oe | 2FT | Strict FT their table for multiples of 8 M1 for 16 and both 24s and any FT multiples of 8 identified with no extras or omissions or for \(\frac{\textit{their } 3}{n}\) where \(n \geqslant 13\) | Do not accept ratio or words Accept 0.187[5], 0.188, 18.7[5]% or 18.8% If scoring fraction seen in body isw attempt to change form or cancel to final answer Note: If (a) is NR (b) \(\frac{3}{16}\) scores 2 marks and \(\frac{3}{n}\) where \(n \geqslant 13\) scores 1 mark |