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 48 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. Eric is 6 times the age of Mary who is 6 years older than Richard. If the total age of the three is 50, how old is Richard? 8. Mary is 4 times the age of Richard who is 9 years younger than Julia. If the total age of the three is 93, how old is Julia? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Anne is twice as old as Ben was 2 years ago. Anne will be 4 years old after 2 years. How old is Ben this year? 11. The circumference of a tire is 65 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 (4 × 4) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Susan has a total of 13 $5 and $100 bills with a total value of $730. How many $100 bills does Susan have? 14. Jennifer has a total of 14 $20 and $50 bills with a total value of $550. How many $50 bills does Jennifer have? 15. Alice has a total of 15 $20 and $100 bills with a total value of $1020. How many $100 bills does Alice have? |