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 5, 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 800 and 899 inclusively with the largest digits sum? 7. Edward is 8 times the age of Emily who is 6 years older than John. If the total age of the three is 114, how old is John? 8. Josh is 4 times the age of Hillary who is 8 years younger than Rene. If the total age of the three is 68, how old is Rene? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Jessica is twice as old as Ben was 3 years ago. Jessica will be 7 years old after 3 years. How old is Ben this year? 11. The circumference of a tire is 78 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Hillary has a total of 19 $5 and $100 bills with a total value of $1045. How many $5 bills does Hillary have? 14. Alice has a total of 22 $20 and $50 bills with a total value of $740. How many $50 bills does Alice have? 15. Anne has a total of 15 $20 and $100 bills with a total value of $780. How many $100 bills does Anne have? |