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 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 900 and 999 inclusively with the largest digits sum? 7. George is 8 times the age of Anne who is 6 years older than Kevin. If the total age of the three is 84, how old is Kevin? 8. Richard is 5 times the age of Julia who is 5 years younger than Ed. If the total age of the three is 89, how old is Ed? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Martha is 3 times as old as John was 4 years ago. Martha will be 13 years old after 4 years. How old is John 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Julia has a total of 14 $5 and $100 bills with a total value of $925. How many $100 bills does Julia have? 14. Niconia has a total of 18 $20 and $50 bills with a total value of $600. How many $50 bills does Niconia have? 15. Laura has a total of 11 $20 and $100 bills with a total value of $460. How many $100 bills does Laura have? |