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 6, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 40 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. George is 6 times the age of Anne who is 4 years older than Kevin. If the total age of the three is 116, how old is Kevin? 8. Emily is 8 times the age of John who is 4 years younger than Alice. If the total age of the three is 104, how old is Alice? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Sofia is 3 times as old as Smith was 5 years ago. Sofia will be 14 years old after 5 years. How old is Smith this year? 11. The circumference of a tire is 84 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jennifer has a total of 22 $5 and $100 bills with a total value of $1060. How many $100 bills does Jennifer have? 14. Mary has a total of 18 $20 and $50 bills with a total value of $630. How many $50 bills does Mary have? 15. Julia has a total of 15 $20 and $100 bills with a total value of $1100. How many $100 bills does Julia have? |