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 72 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 700 and 799 inclusively with the largest digits sum? 7. Josh is 5 times the age of Hillary who is 8 years older than Rene. If the total age of the three is 55, how old is Rene? 8. Nancy is 6 times the age of David who is 9 years younger than Susan. If the total age of the three is 129, how old is Susan? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Laura is 4 times as old as Jay was 5 years ago. Laura will be 17 years old after 5 years. How old is Jay this year? 11. The circumference of a tire is 72 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. Morgan has a total of 17 $5 and $100 bills with a total value of $560. How many $100 bills does Morgan have? 14. Susan has a total of 13 $20 and $50 bills with a total value of $350. How many $20 bills does Susan have? 15. Jennifer has a total of 14 $20 and $100 bills with a total value of $520. How many $20 bills does Jennifer have? |