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 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 700 and 799 inclusively with the largest digits sum? 7. Alice is 8 times the age of George who is 8 years older than Anne. If the total age of the three is 132, how old is Anne? 8. Ed is 8 times the age of Jane who is 5 years younger than Ben. If the total age of the three is 125, how old is Ben? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Anne is 4 times as old as Ben was 5 years ago. Anne will be 21 years old after 5 years. How old is Ben this year? 11. The circumference of a tire is 91 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. Sofia has a total of 20 $5 and $100 bills with a total value of $860. How many $5 bills does Sofia have? 14. Jessica has a total of 9 $20 and $50 bills with a total value of $300. How many $20 bills does Jessica have? 15. Laura has a total of 19 $20 and $100 bills with a total value of $1180. How many $20 bills does Laura have? |