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Overarch 2

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

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Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

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Maximum Flow

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Circular Circuitry

Age 16 to 18 Challenge Level:

Think of a circuit as a flow of electrons. As a switch is flipped on, electrons flow from the switch. What happens when they reach a gate? Trace the path of the current around the circuit.

This problem involves the sort of thinking typically found formally in Decision Mathematics modules, but can be attempted armed only with a basic understanding of logic and truth tables.