INSTRUCTIONS: You must do at least two (2) problems from each module. Each question is worth either 1, 2 or 3 credits - . You must score at least 10 credits to complete your contract. You can do more problems to get more credits, of course.

MODULE ONE

(1) Clever Monkeys CREDITS Nine clever monkeys meet. If each clever monkey shakes hands with each of the other clever monkeys, how many handshakes will there be? [Help]	(2) Sandal Mania CREDITS In the town of Geshwack, there are 20,000 people. Five percent of the population is one-legged, and half the remaining people go barefoot. How many individual sandals (not pairs) are worn in Geshwack? [Help]
(3) Bull’s Eye  CREDITS An archer was practising his marksmanship with the target shown in the diagram on the right. The archer fired off six (6) shots and scored exactly 100 points. Where did his shots land? [Help]	(4) Calculation training CREDITS A train moving at 45 km/hour meets and is passed by a train going the other way on a parallel track moving at 36 km/hour. A passenger on the first train sees the second train take 6 seconds to pass him. How long is the second train? [Help]

MODULE TWO

(5) Bearings Bonanza  CREDIT On some grid paper, start at the corner of a square and follow the directions below to draw a shape. NE 2 squares, N 1 square, SE 2 squares, E 2 squares, NE 1 square, E 1 square, SW 1 square, S 5 squares, W 2 squares, NE 1 square, N 2 squares, W 2 squares, S 3 squares, W 2 squares, NE 1 square, N 2 squares, NW 1 square, SW 1 square, NW 1 square .	(6) Placing Problems CREDIT Five people had a race. Sue didn’t come last. Anna beat Dan and Sue. Sarah beat Dave. Dave beat Sue and Anna. Dan finished two places behind Anna. Dave finished two places ahead of Sue. In what order did these five people finish the race? [Help]
(7) Fuzzy Farmer Logic CREDIT A farmer was asked how many animals he had on his farm. He answered, "They’re all horses except for two, all sheep except for two, and all pigs except for two." How many animals did the farmer have? [Help]	(8) Dice Rolling CREDIT Place a dice, with the one facing upwards on a 3 x 3 grid as shown. You can tip the dice up, down, left or right only onto the next square. See if you can roll the dice so that it is on the 7-square in only 6 moves. You must have the six-dot face on top! [Help]

MODULE THREE

(9) Look At It This Way CREDITS Match each side view with its correct bird’s eye view.

(10) Congruent Confusion  CREDITS Two of these designs are not congruent. Which ones? [Help]

(11) Crayfish Can be Square CREDITS The crayfish is made upof 17 numbered pieces. Cut out each piece. Use all the pieces to make a circle and, by its side, a square as well. [Help]

(12) Crazy Chess Guy  CREDITS A crazy chess player cut his chessboard into 14 parts, as shown. Can you put the board back together again?

Get the answers here.