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 64 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. Kevin is 8 times the age of Nancy who is 4 years older than David. If the total age of the three is 136, how old is David? 8. Josh is 6 times the age of Hillary who is 5 years younger than Rene. If the total age of the three is 117, how old is Rene? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Hillary is 3 times as old as Rene was 2 years ago. Hillary will be 8 years old after 2 years. How old is Rene 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 (8 × 8) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Alice has a total of 16 $5 and $100 bills with a total value of $650. How many $100 bills does Alice have? 14. Alice has a total of 14 $20 and $50 bills with a total value of $430. How many $20 bills does Alice have? 15. Julia has a total of 14 $20 and $100 bills with a total value of $1000. How many $100 bills does Julia have? |