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 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 16 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 600 and 699 inclusively with the largest digits sum? 7. Ben is 8 times the age of Jennifer who is 4 years older than Josh. If the total age of the three is 126, how old is Josh? 8. Richard is 7 times the age of Julia who is 2 years younger than Ed. If the total age of the three is 101, how old is Ed? 9. The perimeter of a square is 72 inches. What is its area (in square inches)? 10. Mary is 3 times as old as Richard was 2 years ago. Mary will be 17 years old after 2 years. How old is Richard this year? 11. The circumference of a tire is 62 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. Sofia has a total of 18 $5 and $100 bills with a total value of $1040. How many $100 bills does Sofia have? 14. Martha has a total of 15 $20 and $50 bills with a total value of $570. How many $50 bills does Martha have? 15. Niconia has a total of 17 $20 and $100 bills with a total value of $740. How many $100 bills does Niconia have? |