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 2, 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. Hillary is 8 times the age of Rene who is 9 years older than Laura. If the total age of the three is 111, how old is Laura? 8. Ed is 3 times the age of Jane who is 4 years younger than Ben. If the total age of the three is 54, how old is Ben? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Martha is 4 times as old as Josh was 5 years ago. Martha will be 13 years old after 5 years. How old is Josh this year? 11. The circumference of a tire is 78 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. Alice has a total of 14 $5 and $100 bills with a total value of $640. How many $100 bills does Alice have? 14. Niconia has a total of 19 $20 and $50 bills with a total value of $590. How many $20 bills does Niconia have? 15. Niconia has a total of 13 $20 and $100 bills with a total value of $580. How many $20 bills does Niconia have? |