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 56 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. Richard is 3 times the age of Julia who is 8 years older than Ed. If the total age of the three is 67, how old is Ed? 8. Anne is 5 times the age of Kevin who is 7 years younger than Nancy. If the total age of the three is 98, how old is Nancy? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Niconia is 3 times as old as David was 5 years ago. Niconia will be 11 years old after 5 years. How old is David this year? 11. The circumference of a tire is 78 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Emily has a total of 9 $5 and $100 bills with a total value of $425. How many $100 bills does Emily have? 14. Alice has a total of 13 $20 and $50 bills with a total value of $500. How many $50 bills does Alice have? 15. Susan has a total of 14 $20 and $100 bills with a total value of $760. How many $20 bills does Susan have? |