Being resourceful
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problemTwo trees
Two trees 20 metres and 30 metres long, lean across a passageway between two vertical walls. They cross at a point 8 metres above the ground. What is the distance between the foot of the trees?
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problemTeams
Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
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problemEquation attack
The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.
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problemCurved square
Can you find the area of the central part of this shape? Can you do it in more than one way?
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problemCalculus countdown
Can you hit the target functions using a set of input functions and a little calculus and algebra?
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problemAgile algebra
Observe symmetries and engage the power of substitution to solve complicated equations.