this month, Stage 1 & 2

October 2001

 

Problems

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Skip Counting

Stage:1 Challenge Level:Challenge Level:1

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

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Can You Count

Stage:1 Challenge Level:Challenge Level:2Challenge Level:2

Count the number of goblins in the picture, then swap the top sections around. Now, count again. Can you explain what's happened?

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Halloween Investigation

Stage:2 Challenge Level:Challenge Level:1

Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks. How many possible costumes could they make?

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Hubble, Bubble

Stage:2 Challenge Level:Challenge Level:2Challenge Level:2

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?

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Trick or Treat

Stage:2 Challenge Level:Challenge Level:2Challenge Level:2

Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?

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Penta Place

Stage:2 Challenge Level:Challenge Level:3Challenge Level:3Challenge Level:3

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

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A Bit of a Dicey Problem

Stage:2 Challenge Level:Challenge Level:3Challenge Level:3Challenge Level:3

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?