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 76 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 400 and 499 inclusively with the largest digits sum? 7. Ben is 4 times the age of Jennifer who is 3 years older than Josh. If the total age of the three is 81, how old is Josh? 8. John is 5 times the age of Alice who is 7 years younger than George. If the total age of the three is 63, how old is George? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Jennifer is 3 times as old as John was 2 years ago. Jennifer will be 11 years old after 2 years. How old is John 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 (8 × 8) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Alice has a total of 19 $5 and $100 bills with a total value of $1045. How many $5 bills does Alice have? 14. Sofia has a total of 21 $20 and $50 bills with a total value of $720. How many $20 bills does Sofia have? 15. Anne has a total of 10 $20 and $100 bills with a total value of $520. How many $100 bills does Anne have? |