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 60 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 900 and 999 inclusively with the largest digits sum? 7. Mary is 6 times the age of Richard who is 7 years older than Julia. If the total age of the three is 97, how old is Julia? 8. Julia is 5 times the age of Ed who is 3 years younger than Jane. If the total age of the three is 31, how old is Jane? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Sofia is 3 times as old as Curtis was 4 years ago. Sofia will be 10 years old after 4 years. How old is Curtis this year? 11. The circumference of a tire is 81 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. Susan has a total of 14 $5 and $100 bills with a total value of $735. How many $100 bills does Susan have? 14. Nancy has a total of 13 $20 and $50 bills with a total value of $350. How many $20 bills does Nancy have? 15. Sofia has a total of 20 $20 and $100 bills with a total value of $1120. How many $100 bills does Sofia have? |