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 72 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 200 and 299 inclusively with the largest digits sum? 7. Nancy is 6 times the age of David who is 2 years older than Susan. If the total age of the three is 54, how old is Susan? 8. David is 4 times the age of Susan who is 4 years younger than Eric. If the total age of the three is 70, how old is Eric? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Morgan is twice as old as Andy was 4 years ago. Morgan will be 6 years old after 4 years. How old is Andy 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 (5 × 5) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Anne has a total of 20 $5 and $100 bills with a total value of $955. How many $100 bills does Anne have? 14. Alice has a total of 10 $20 and $50 bills with a total value of $350. How many $20 bills does Alice have? 15. Julia has a total of 12 $20 and $100 bills with a total value of $720. How many $100 bills does Julia have? |