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 6, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 40 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. Susan is 3 times the age of Eric who is 3 years older than Mary. If the total age of the three is 42, how old is Mary? 8. Ben is 3 times the age of Jennifer who is 4 years younger than Josh. If the total age of the three is 49, how old is Josh? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Sofia is twice as old as Richard was 5 years ago. Sofia will be 11 years old after 5 years. How old is Richard this year? 11. The circumference of a tire is 72 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Hillary has a total of 21 $5 and $100 bills with a total value of $960. How many $100 bills does Hillary have? 14. Morgan has a total of 13 $20 and $50 bills with a total value of $500. How many $50 bills does Morgan have? 15. Alice has a total of 16 $20 and $100 bills with a total value of $640. How many $20 bills does Alice have? |