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 64 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 600 and 699 inclusively with the largest digits sum? 7. Mary is 6 times the age of Richard who is 4 years older than Julia. If the total age of the three is 44, how old is Julia? 8. Susan is 3 times the age of Eric who is 3 years younger than Mary. If the total age of the three is 33, how old is Mary? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Morgan is 3 times as old as Joe was 2 years ago. Morgan will be 5 years old after 2 years. How old is Joe this year? 11. The circumference of a tire is 84 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. Jennifer has a total of 21 $5 and $100 bills with a total value of $1055. How many $5 bills does Jennifer have? 14. Sofia has a total of 14 $20 and $50 bills with a total value of $430. How many $20 bills does Sofia have? 15. Jane has a total of 20 $20 and $100 bills with a total value of $1200. How many $20 bills does Jane have? |