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 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 36 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 300 and 399 inclusively with the largest digits sum? 7. Anne is 6 times the age of Kevin who is 9 years older than Nancy. If the total age of the three is 103, how old is Nancy? 8. Julia is 4 times the age of Ed who is 8 years younger than Jane. If the total age of the three is 68, how old is Jane? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Julia is twice as old as Ben was 2 years ago. Julia will be 10 years old after 2 years. How old is Ben this year? 11. The circumference of a tire is 87 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. Morgan has a total of 19 $5 and $100 bills with a total value of $760. How many $100 bills does Morgan have? 14. Susan has a total of 19 $20 and $50 bills with a total value of $620. How many $50 bills does Susan have? 15. Hillary has a total of 12 $20 and $100 bills with a total value of $720. How many $20 bills does Hillary have? |