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 3, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 28 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. Mary is 8 times the age of Richard who is 4 years older than Julia. If the total age of the three is 106, how old is Julia? 8. Hillary is 4 times the age of Rene who is 3 years younger than Laura. If the total age of the three is 63, how old is Laura? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Martha is 3 times as old as John was 2 years ago. Martha will be 5 years old after 2 years. How old is John 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 (4 × 4) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Niconia has a total of 14 $5 and $100 bills with a total value of $830. How many $5 bills does Niconia have? 14. Jessica has a total of 11 $20 and $50 bills with a total value of $370. How many $20 bills does Jessica have? 15. Jessica has a total of 9 $20 and $100 bills with a total value of $420. How many $100 bills does Jessica have? |