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 2, 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 200 and 299 inclusively with the largest digits sum? 7. Alice is 5 times the age of George who is 6 years older than Anne. If the total age of the three is 92, how old is Anne? 8. Josh is 4 times the age of Hillary who is 2 years younger than Rene. If the total age of the three is 56, how old is Rene? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Morgan is twice as old as Michael was 3 years ago. Morgan will be 9 years old after 3 years. How old is Michael this year? 11. The circumference of a tire is 69 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. Hillary has a total of 11 $5 and $100 bills with a total value of $625. How many $5 bills does Hillary have? 14. Emily has a total of 9 $20 and $50 bills with a total value of $300. How many $50 bills does Emily have? 15. Niconia has a total of 11 $20 and $100 bills with a total value of $540. How many $20 bills does Niconia have? |