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.| | 94 | 486 | 7495 | 95623 | 118791 | 6578687 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 7, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 64 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 500 and 599 inclusively with the largest digits sum? 7. Eric is 3 times the age of Mary who is 9 years older than Richard. If the total age of the three is 56, how old is Richard? 8. Julia is 6 times the age of Ed who is 4 years younger than Jane. If the total age of the three is 108, how old is Jane? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Sofia is 3 times as old as Jackson was 5 years ago. Sofia will be 20 years old after 5 years. How old is Jackson this year? 11. The circumference of a tire is 62 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Julia has a total of 14 $5 and $100 bills with a total value of $545. How many $100 bills does Julia have? 14. Emily has a total of 13 $20 and $50 bills with a total value of $380. How many $20 bills does Emily have? 15. Jessica has a total of 9 $20 and $100 bills with a total value of $500. How many $20 bills does Jessica have? |