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 100 and 199 inclusively with the largest digits sum? 7. Ben is 4 times the age of Jennifer who is 7 years older than Josh. If the total age of the three is 53, how old is Josh? 8. Kevin is 4 times the age of Nancy who is 4 years younger than David. If the total age of the three is 34, how old is David? 9. The perimeter of a square is 72 inches. What is its area (in square inches)? 10. Jessica is 3 times as old as Edward was 3 years ago. Jessica will be 15 years old after 3 years. How old is Edward this year? 11. The circumference of a tire is 75 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Anne has a total of 19 $5 and $100 bills with a total value of $1045. How many $5 bills does Anne have? 14. Mary has a total of 18 $20 and $50 bills with a total value of $630. How many $50 bills does Mary have? 15. Jane has a total of 17 $20 and $100 bills with a total value of $900. How many $20 bills does Jane have? |