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 3, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 16 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. Jane is 5 times the age of Ben who is 6 years older than Jennifer. If the total age of the three is 92, how old is Jennifer? 8. George is 4 times the age of Anne who is 8 years younger than Kevin. If the total age of the three is 68, how old is Kevin? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Alice is 3 times as old as John was 3 years ago. Alice will be 12 years old after 3 years. How old is John this year? 11. The circumference of a tire is 75 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. Anne has a total of 17 $5 and $100 bills with a total value of $940. How many $100 bills does Anne have? 14. Alice has a total of 15 $20 and $50 bills with a total value of $570. How many $50 bills does Alice have? 15. Jane has a total of 17 $20 and $100 bills with a total value of $740. How many $100 bills does Jane have? |