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 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 200 and 299 inclusively with the largest digits sum? 7. Jane is 8 times the age of Ben who is 8 years older than Jennifer. If the total age of the three is 142, how old is Jennifer? 8. Jane is 3 times the age of Ben who is 2 years younger than Jennifer. If the total age of the three is 67, how old is Jennifer? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Alice is 4 times as old as Josh was 3 years ago. Alice will be 19 years old after 3 years. How old is Josh 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Anne has a total of 18 $5 and $100 bills with a total value of $755. How many $100 bills does Anne have? 14. Mary has a total of 19 $20 and $50 bills with a total value of $680. How many $20 bills does Mary have? 15. Julia has a total of 18 $20 and $100 bills with a total value of $1000. How many $100 bills does Julia have? |