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 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 300 and 399 inclusively with the largest digits sum? 7. Mary is 4 times the age of Richard who is 3 years older than Julia. If the total age of the three is 63, how old is Julia? 8. Julia is 6 times the age of Ed who is 6 years younger than Jane. If the total age of the three is 126, how old is Jane? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Alice is twice as old as Smith was 4 years ago. Alice will be 10 years old after 4 years. How old is Smith 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. Helen has a total of 13 $5 and $100 bills with a total value of $730. How many $100 bills does Helen have? 14. Mary has a total of 19 $20 and $50 bills with a total value of $620. How many $50 bills does Mary have? 15. Anne has a total of 13 $20 and $100 bills with a total value of $740. How many $20 bills does Anne have? |