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 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 900 and 999 inclusively with the largest digits sum? 7. Hillary is 3 times the age of Rene who is 7 years older than Laura. If the total age of the three is 48, how old is Laura? 8. Richard is 6 times the age of Julia who is 7 years younger than Ed. If the total age of the three is 127, how old is Ed? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Jennifer is 3 times as old as Josh was 5 years ago. Jennifer will be 8 years old after 5 years. How old is Josh this year? 11. The circumference of a tire is 91 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. Jane has a total of 19 $5 and $100 bills with a total value of $950. How many $100 bills does Jane have? 14. Alice has a total of 17 $20 and $50 bills with a total value of $610. How many $50 bills does Alice have? 15. Sofia has a total of 17 $20 and $100 bills with a total value of $740. How many $100 bills does Sofia have? |