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You Never Get a Six

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

Weekly Problem 12 - 2012

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

$90$ chocolate ice creams were sold.

The angle occupied by the 'chocolate' sector is $1/2(360^{\circ} - 90^{\circ}) = 135^{\circ}$. This is $1.5$ times bigger than the 'strawberry' sector and hence the number of chocolate ice creams sold is $1.5 \times 60 = 90$.

This problem is taken from the UKMT Mathematical Challenges.

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