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 8, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 16 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. Eric is 3 times the age of Mary who is 9 years older than Richard. If the total age of the three is 66, how old is Richard? 8. Hillary is 7 times the age of Rene who is 3 years younger than Laura. If the total age of the three is 120, how old is Laura? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Sofia is 4 times as old as Richard was 3 years ago. Sofia will be 15 years old after 3 years. How old is Richard 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Emily has a total of 11 $5 and $100 bills with a total value of $340. How many $5 bills does Emily have? 14. Julia has a total of 10 $20 and $50 bills with a total value of $290. How many $50 bills does Julia have? 15. Helen has a total of 10 $20 and $100 bills with a total value of $440. How many $100 bills does Helen have? |