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 400 and 499 inclusively with the largest digits sum? 7. Julia is 4 times the age of Ed who is 2 years older than Jane. If the total age of the three is 70, how old is Jane? 8. Anne is 5 times the age of Kevin who is 4 years younger than Nancy. If the total age of the three is 53, how old is Nancy? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Jane is 3 times as old as Ben was 3 years ago. Jane will be 9 years old after 3 years. How old is Ben this year? 11. The circumference of a tire is 94 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. Niconia has a total of 17 $5 and $100 bills with a total value of $750. How many $100 bills does Niconia have? 14. Niconia has a total of 17 $20 and $50 bills with a total value of $550. How many $20 bills does Niconia have? 15. Julia has a total of 18 $20 and $100 bills with a total value of $1080. How many $100 bills does Julia have? |