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 52 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 6 times the age of Emily who is 7 years older than John. If the total age of the three is 57, how old is John? 8. Jennifer is 8 times the age of Josh who is 8 years younger than Hillary. If the total age of the three is 128, how old is Hillary? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Jennifer is 3 times as old as Michael was 5 years ago. Jennifer will be 20 years old after 5 years. How old is Michael 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jane has a total of 19 $5 and $100 bills with a total value of $760. How many $100 bills does Jane have? 14. Laura has a total of 10 $20 and $50 bills with a total value of $290. How many $50 bills does Laura have? 15. Alice has a total of 15 $20 and $100 bills with a total value of $700. How many $20 bills does Alice have? |