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 20 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 200 and 299 inclusively with the largest digits sum? 7. John is 4 times the age of Alice who is 5 years older than George. If the total age of the three is 85, how old is George? 8. Jennifer is 8 times the age of Josh who is 6 years younger than Hillary. If the total age of the three is 86, how old is Hillary? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Emily is 4 times as old as Tom was 3 years ago. Emily will be 23 years old after 3 years. How old is Tom this year? 11. The circumference of a tire is 62 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Niconia has a total of 18 $5 and $100 bills with a total value of $1040. How many $5 bills does Niconia have? 14. Nancy has a total of 21 $20 and $50 bills with a total value of $720. How many $50 bills does Nancy have? 15. Hillary has a total of 17 $20 and $100 bills with a total value of $1140. How many $20 bills does Hillary have? |