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Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.
5 on the sheet, 7 match these filtersReshuffleStart overseed 1
This exact URL always produces this exact sheet — bookmark it and the answer key will still match next term. Print with your browser; the controls and the site navigation are left off the page.
Name: ______________________Date: ____________5 questions · 15 points
1.Eight people meet and everyone shakes hands with everyone else exactly once. How many handshakes take place?[3]
2.How many of the numbers from 1 to 20 are not multiples of 3?[3]
3.A rectangle is divided by two vertical lines into three parts. How many rectangles of any size are in the picture?[3]
A wide rectangle divided by two vertical lines into three smaller rectangles side by side.
4.How many different two-digit numbers can be written using only the digits 1, 2 and 3, if a digit may be used twice?[3]
5.How many three-digit numbers can be written using only the digits 1 and 2, with repeats allowed?[3]
Kangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 1 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.
1.B — 28KA-0035Handshakes and pairs
2.C — 14KA-0051Complementary counting
3.C — 6KA-0054Counting shapes hidden inside a figure
4.C — 9KA-0072Systematic listing
5.E — 8KA-0143Systematic listing