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 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 100 and 199 inclusively with the largest digits sum? 7. Rene is 8 times the age of Laura who is 8 years older than Jay. If the total age of the three is 142, how old is Jay? 8. Edward is 4 times the age of Emily who is 2 years younger than John. If the total age of the three is 80, how old is John? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Jennifer is 3 times as old as Josh was 3 years ago. Jennifer will be 12 years old after 3 years. How old is Josh this year? 11. The circumference of a tire is 81 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. Susan has a total of 14 $5 and $100 bills with a total value of $830. How many $5 bills does Susan have? 14. Nancy has a total of 21 $20 and $50 bills with a total value of $690. How many $20 bills does Nancy have? 15. Susan has a total of 17 $20 and $100 bills with a total value of $1060. How many $100 bills does Susan have? |