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 7, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 28 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. Richard is 3 times the age of Julia who is 8 years older than Ed. If the total age of the three is 47, how old is Ed? 8. Ed is 8 times the age of Jane who is 6 years younger than Ben. If the total age of the three is 106, how old is Ben? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Jane is 4 times as old as Michael was 5 years ago. Jane will be 13 years old after 5 years. How old is Michael this year? 11. The circumference of a tire is 65 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. Jane has a total of 15 $5 and $100 bills with a total value of $740. How many $100 bills does Jane have? 14. Mary has a total of 13 $20 and $50 bills with a total value of $440. How many $50 bills does Mary have? 15. Alice has a total of 11 $20 and $100 bills with a total value of $460. How many $100 bills does Alice have? |