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 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 48 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. Susan is 5 times the age of Eric who is 5 years older than Mary. If the total age of the three is 58, how old is Mary? 8. Alice is 3 times the age of George who is 7 years younger than Anne. If the total age of the three is 82, how old is Anne? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Alice is 3 times as old as Steve was 2 years ago. Alice will be 17 years old after 2 years. How old is Steve 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. Morgan has a total of 14 $5 and $100 bills with a total value of $925. How many $5 bills does Morgan have? 14. Susan has a total of 20 $20 and $50 bills with a total value of $670. How many $20 bills does Susan have? 15. Jane has a total of 17 $20 and $100 bills with a total value of $820. How many $100 bills does Jane have? |