Working systematically
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problemThe Fastest Cyclist
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
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problemRelative Time
Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
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problemAlphabetical Angle
If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?
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problemSwitch On
In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?
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problemGridlines
How many triples of points are there in this 4×4 array that lie on a straight line?
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problemScratch Cards
To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
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problemDifferent Digital Clock
At how many times between 10 and 11 o'clock are all six digits on a digital clock different?
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problemMedal Ceremony
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?