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 7, 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 800 and 899 inclusively with the largest digits sum? 7. Josh is 3 times the age of Hillary who is 9 years older than Rene. If the total age of the three is 46, how old is Rene? 8. Julia is 5 times the age of Ed who is 7 years younger than Jane. If the total age of the three is 70, how old is Jane? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Anne is 4 times as old as Andy was 3 years ago. Anne will be 7 years old after 3 years. How old is Andy this year? 11. The circumference of a tire is 65 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 (7 × 7) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Alice has a total of 11 $5 and $100 bills with a total value of $435. How many $5 bills does Alice have? 14. Morgan has a total of 18 $20 and $50 bills with a total value of $630. How many $20 bills does Morgan have? 15. Sofia has a total of 16 $20 and $100 bills with a total value of $720. How many $20 bills does Sofia have? |