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 900 and 999 inclusively with the largest digits sum? 7. Eric is 7 times the age of Mary who is 7 years older than Richard. If the total age of the three is 119, how old is Richard? 8. John is 3 times the age of Alice who is 4 years younger than George. If the total age of the three is 29, how old is George? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Emily is 3 times as old as Nick was 3 years ago. Emily will be 18 years old after 3 years. How old is Nick 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jane has a total of 8 $5 and $100 bills with a total value of $325. How many $5 bills does Jane have? 14. Anne has a total of 17 $20 and $50 bills with a total value of $550. How many $20 bills does Anne have? 15. Anne has a total of 12 $20 and $100 bills with a total value of $720. How many $20 bills does Anne have? |