Archery is an exciting – and dangerous – sport. The archers use a bow (a long, curved stick with a string across it) to shoot an arrow at 150 miles an hour at a flat circular target. The closer to the “bull’s-eye” (center) the arrow hits, the more points! That gold circle in the middle scores 10 points, the red circle around it scores 9…and so on till the white edge, worth just 1 point. And no points if your arrow hits a person!
Wee ones: Circles inside each other that share the same center are called “concentric.” Can you find a circle inside another circle on anything in your home?
Little kids: If you shoot an arrow into the 6 ring and the next into the 8 ring, what number ring did you skip? Bonus: If you shoot 6 arrows and they all hit the bull’s-eye, which is worth 10 points, how many points do you score in total? Count up by 10s!
Big kids: In a game, each archer shoots 12 “phases” of 6 arrows each. How many arrows does the archer shoot in a game? Bonus: How many ways can 3 arrows add up to 26 points? Remember, each arrow scores between 1 and 10 points (and don’t worry about the order, just the sets of numbers.)
Answers:
Wee ones: Items might include an on/off button, a button on clothes, the bathtub drain, the inner and outer edges of a donut…or a shopping bag from Target!
Little kids: The 7 ring. Bonus: 60 points: 10, 20, 30, 40, 50, 60.
Big kids: 72 arrows. Bonus: There are only 4 ways, since the lowest number has to be at least 6 (since the other 2 rings can add to 20 at most). The combinations are 6, 10, 10; 7, 9, 10; 8, 8, 10; and 8, 9, 9.
