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.| | 64 | 981 | 2581 | 49383 | 719478 | 7008283 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 8, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 32 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. Eric is 7 times the age of Mary who is 9 years older than Richard. If the total age of the three is 81, how old is Richard? 8. Mary is 6 times the age of Richard who is 5 years younger than Julia. If the total age of the three is 69, how old is Julia? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Sofia is twice as old as Smith was 3 years ago. Sofia will be 11 years old after 3 years. How old is Smith this year? 11. The circumference of a tire is 87 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Hillary has a total of 13 $5 and $100 bills with a total value of $445. How many $100 bills does Hillary have? 14. Emily has a total of 13 $20 and $50 bills with a total value of $500. How many $20 bills does Emily have? 15. Niconia has a total of 12 $20 and $100 bills with a total value of $720. How many $100 bills does Niconia have? |