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.| | 19 | 480 | 5296 | 80459 | 606951 | 9174468 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 3, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 44 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 600 and 699 inclusively with the largest digits sum? 7. Jennifer is 7 times the age of Josh who is 4 years older than Hillary. If the total age of the three is 113, how old is Hillary? 8. Eric is 5 times the age of Mary who is 4 years younger than Richard. If the total age of the three is 81, how old is Richard? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Alice is 3 times as old as Smith was 5 years ago. Alice will be 20 years old after 5 years. How old is Smith 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jennifer has a total of 17 $5 and $100 bills with a total value of $1035. How many $100 bills does Jennifer have? 14. Susan has a total of 20 $20 and $50 bills with a total value of $670. How many $20 bills does Susan have? 15. Nancy has a total of 16 $20 and $100 bills with a total value of $800. How many $20 bills does Nancy have? |