1. MATHS
How many different ways are there of arranging the letters in the word MATHS? A B 60
120 C D 30 15

2. What is the next number in the series (or the next row in the triangle opposite)?
1, 1 1, , , , ,
, … A B C D

3. If a lottery ticket has a thickness of 0
If a lottery ticket has a thickness of 0.1 mm, how tall would a pile of all possible, different lottery tickets be? Hint: you are choosing 6 from 49.
13.98 m
13.98 cm A B
13,983 cm
139,838 cm C D

4. Winner
In Britain’s Got Talent Series 1 the three semi-finals, that each had eight contestant(s) were won by the contestant who performed last. What is the probability of this happening if all acts have the same chance or winning independent of the order of performance?
Semi-final 1
Semi-final 2
Semi-final 3
𝟏 𝟖
𝟏 𝟖 𝟑 A B
𝟐𝟎× 𝟏 𝟖 𝟑
𝟏𝟎× 𝟏 𝟖 𝟑 C D

5. In Britain’s Got Talent Series 5 two of the five semi-finals were won by the contestant(s) who performed last. There were 8 contestants in each semi-final. What is the probability of this happening if all acts have the same chance or winning independent of the order of performance? A B C D