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 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 76 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 500 and 599 inclusively with the largest digits sum? 7. Edward is 4 times the age of Emily who is 3 years older than John. If the total age of the three is 33, how old is John? 8. Kevin is 4 times the age of Nancy who is 8 years younger than David. If the total age of the three is 92, how old is David? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Niconia is twice as old as Jay was 5 years ago. Niconia will be 13 years old after 5 years. How old is Jay this year? 11. The circumference of a tire is 91 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 10 $5 and $100 bills with a total value of $430. How many $5 bills does Hillary have? 14. Anne has a total of 16 $20 and $50 bills with a total value of $530. How many $50 bills does Anne have? 15. Niconia has a total of 16 $20 and $100 bills with a total value of $1120. How many $20 bills does Niconia have? |