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. 4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 5, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 68 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 800 and 899 inclusively with the largest digits sum? 7. Susan is 8 times the age of Eric who is 3 years older than Mary. If the total age of the three is 107, how old is Mary? 8. Nancy is 3 times the age of David who is 8 years younger than Susan. If the total age of the three is 83, how old is Susan? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Jane is twice as old as Tom was 4 years ago. Jane will be 8 years old after 4 years. How old is Tom this year? 11. The circumference of a tire is 75 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jessica has a total of 12 $5 and $100 bills with a total value of $440. How many $5 bills does Jessica have? 14. Martha has a total of 11 $20 and $50 bills with a total value of $340. How many $20 bills does Martha have? 15. Emily has a total of 17 $20 and $100 bills with a total value of $820. How many $100 bills does Emily have? |