Being resourceful
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problemNapoleon's Hat
Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?
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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.
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problemAP Train
An arithmetic progression is shifted and shortened, but its sum remains the same...
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problemSpeedo
Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.
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problemA Very Shiny Nose?
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.