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Bat Wings

Three students had collected some data on the wingspan of some bats. Unfortunately, each student had lost one measurement. Can you find the missing information?

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A Mean Tetrahedron

Can you number the vertices, edges and faces of a tetrahedron so that the number on each edge is the mean of the numbers on the adjacent vertices and the mean of the numbers on the adjacent faces?

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Pairs

Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was thinking of.

Archery

Stage: 3 Challenge Level: Challenge Level:1

Shoot a few arrows and see what happens.

Where would be a good place to aim for to start with?

Where are the arrows landing?
Too high, too low, too far to the right, too far to the left?

Move the bow to take account of this.
In what direction do you need to adjust the sight?

Collect the arrows and clear the results before testing out a new setting.

Keep a record of your average score for each of your settings.
Which performs best?