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Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

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Rationals Between

What fractions can you find between the square roots of 56 and 58?

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F'arc'tion

At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

Peaches Today, Peaches Tomorrow....

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2
The monkey will always keep a whole number of peaches.

For Part (ii), why not try a starting value and see what happens? Then decide whether you need to start with a bigger or smaller starting value next time.

For part (iii), you could use a tree diagram: at each stage, branch off the fractions it would be possible to try next so that all possibilities are checked.