This is a UKMT JMC (Junior Maths Challenge) question. I’ve been using it with my students, who applied to St Paul’s Girls’ School, in the recent 11+ entrance exams.
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What is the shape of the path that the snail traces out as the ladder falls?
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Every card in this deck has a number on one side and a letter on the other. The same number can appear on more than one card.
Euna places four of these cards in a row, then flips over some (maybe all) of the cards and mixes them up. The before and after state is pictured below. What number is on the other side of the A?
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Can you help solve how much money April, May and June began with, before sharing equally?
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10 silver beads and 10 gold beads are arranged randomly on a necklace.
Is it always possible to make one straight line cut that divides the necklace into two pieces that each have 5 silver and 5 gold beads?
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