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 60 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. Josh is 7 times the age of Hillary who is 9 years older than Rene. If the total age of the three is 126, how old is Rene? 8. Nancy is 3 times the age of David who is 7 years younger than Susan. If the total age of the three is 47, how old is Susan? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Julia is 3 times as old as Larry was 5 years ago. Julia will be 17 years old after 5 years. How old is Larry 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Laura has a total of 11 $5 and $100 bills with a total value of $435. How many $5 bills does Laura have? 14. Sofia has a total of 10 $20 and $50 bills with a total value of $320. How many $50 bills does Sofia have? 15. Martha has a total of 21 $20 and $100 bills with a total value of $1140. How many $20 bills does Martha have? |