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 56 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. Richard is 6 times the age of Julia who is 7 years older than Ed. If the total age of the three is 73, how old is Ed? 8. David is 6 times the age of Susan who is 2 years younger than Eric. If the total age of the three is 34, how old is Eric? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Martha is 4 times as old as Richard was 4 years ago. Martha will be 24 years old after 4 years. How old is Richard this year? 11. The circumference of a tire is 84 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. Laura has a total of 14 $5 and $100 bills with a total value of $355. How many $5 bills does Laura have? 14. Helen has a total of 14 $20 and $50 bills with a total value of $550. How many $20 bills does Helen have? 15. Susan has a total of 21 $20 and $100 bills with a total value of $1220. How many $20 bills does Susan have? |