Math Olympiad 2( Week 46 Quiz 9) 1. If it takes 4 seconds to cut a strip from a wire, how many seconds will it take to cut the wire into 6 strips? 2. One stroke drawing means that you have to finish a figure with a single stroke from the beginning to the end, without moving the pen off from the paper. You are not allowed to draw the same line twice, however a line can intersect or touch itself. Can the following figure be drawn with one stroke?
3. How many cuts are needed to cut a long log into 18 shorter pieces? 5. How many knots are needed to connect 19 short ropes into a circular rope? 8. How many two-digit numbers can you make using 9 and 1? 12. How many three-digit numbers can you make by using all 3 digits: 5, 3, and 7? 13. One stroke drawing means that you have to finish a figure with a single stroke from the beginning to the end, without moving the pen off from the paper. You are not allowed to draw the same line twice, however a line can intersect or touch itself. Can the following figure be drawn with one stroke?
14. What is the largest 3-digit odd number you can make using digits 4, 9 and 5? 15. You can make six two-digit numbers using 2, 4 and 7. What is the difference between the biggest number and the smallest number? |