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 32 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 300 and 399 inclusively with the largest digits sum? 7. Anne is 7 times the age of Kevin who is 4 years older than Nancy. If the total age of the three is 131, how old is Nancy? 8. Jane is 5 times the age of Ben who is 4 years younger than Jennifer. If the total age of the three is 109, how old is Jennifer? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Susan is 4 times as old as Eric was 2 years ago. Susan will be 18 years old after 2 years. How old is Eric this year? 11. The circumference of a tire is 87 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 (7 × 7) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Hillary has a total of 13 $5 and $100 bills with a total value of $540. How many $100 bills does Hillary have? 14. Hillary has a total of 13 $20 and $50 bills with a total value of $470. How many $50 bills does Hillary have? 15. Martha has a total of 13 $20 and $100 bills with a total value of $820. How many $20 bills does Martha have? |