Math Olympiad 4( Week 36 Quiz 7) 1. Determine which of the following number(s) are divisible by 9. Type the number(s) in the blank, and separate each number with a comma if necessary.| | 44 | 217 | 8806 | 70971 | 403455 | 9037098 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 2, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 24 maple trees in total with a tree at each corner. What is the length of each side of the garden (in meters)? 6. What is the multiple of 11 between 900 and 999 inclusively with the largest digits sum? 7. Ed is 5 times the age of Jane who is 9 years older than Ben. If the total age of the three is 68, how old is Ben? 8. Ben is 8 times the age of Jennifer who is 2 years younger than Josh. If the total age of the three is 92, how old is Josh? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Susan is twice as old as Josh was 3 years ago. Susan will be 7 years old after 3 years. How old is Josh this year? 11. The circumference of a tire is 81 inches. How many complete turns will the tire roll in one mile (1 mile = 63,360 inches) on the ground? 12. If you cut a square (5 × 5) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Sofia has a total of 20 $5 and $100 bills with a total value of $860. How many $100 bills does Sofia have? 14. Nancy has a total of 16 $20 and $50 bills with a total value of $590. How many $20 bills does Nancy have? 15. Anne has a total of 11 $20 and $100 bills with a total value of $700. How many $100 bills does Anne have? |