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 6, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 44 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 100 and 199 inclusively with the largest digits sum? 7. Nancy is 3 times the age of David who is 5 years older than Susan. If the total age of the three is 30, how old is Susan? 8. John is 3 times the age of Alice who is 6 years younger than George. If the total age of the three is 56, how old is George? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Alice is 3 times as old as John was 3 years ago. Alice will be 6 years old after 3 years. How old is John this year? 11. The circumference of a tire is 94 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Julia has a total of 13 $5 and $100 bills with a total value of $350. How many $5 bills does Julia have? 14. Morgan has a total of 14 $20 and $50 bills with a total value of $490. How many $20 bills does Morgan have? 15. Susan has a total of 12 $20 and $100 bills with a total value of $720. How many $20 bills does Susan have? |