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 8, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 64 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 3 times the age of Ben who is 4 years older than Jennifer. If the total age of the three is 51, how old is Jennifer? 8. David is 6 times the age of Susan who is 2 years younger than Eric. If the total age of the three is 90, how old is Eric? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Alice is 3 times as old as Larry was 2 years ago. Alice will be 14 years old after 2 years. How old is Larry 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Niconia has a total of 19 $5 and $100 bills with a total value of $855. How many $100 bills does Niconia have? 14. Nancy has a total of 15 $20 and $50 bills with a total value of $480. How many $20 bills does Nancy have? 15. Jessica has a total of 22 $20 and $100 bills with a total value of $1240. How many $20 bills does Jessica have? |