1. Nine-pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
You might find the sheet of nine-peg boards useful, see link to file below.
Here are two to get you started:
Once you have found each triangle, can you identify which type of triangle it is? Think about the length of each side and the angles involved.
2. Andy's Marbles
Andy and his friend Sam were walking along the road together. Andy had a big bag of marbles. Unfortunately the bottom of the bag split and all the marbles spilled out. Poor Andy!
1/3 of the marbles rolled down the slope too quickly for Andy to pick them up.
1/6 of all the marbles disappeared into the rain-water drain.
Andy and Sam picked up all they could but 1/2 of the marbles that remained nearby were picked up by other children who ran off with them.
Andy counted all the marbles he and Sam had rescued.
He gave 1/3 of these to Sam for helping him pick them up. Andy put his remaining 14 marbles into his pocket.
a) How many marbles were there in Andy's bag before the bottom split?
b) What fraction of his marbles did he lose?
c) What fraction of his marbles did he give away?
Unfortunately not the ones with chocolate chips.
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