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 2, 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 500 and 599 inclusively with the largest digits sum? 7. Susan is 8 times the age of Eric who is 8 years older than Mary. If the total age of the three is 132, how old is Mary? 8. Mary is 6 times the age of Richard who is 7 years younger than Julia. If the total age of the three is 71, how old is Julia? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Jessica is twice as old as Kevin was 4 years ago. Jessica will be 8 years old after 4 years. How old is Kevin 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 (5 × 5) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Morgan has a total of 14 $5 and $100 bills with a total value of $735. How many $5 bills does Morgan have? 14. Jane has a total of 13 $20 and $50 bills with a total value of $440. How many $20 bills does Jane have? 15. Julia has a total of 15 $20 and $100 bills with a total value of $860. How many $20 bills does Julia have? |