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 36 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. Ed is 5 times the age of Jane who is 4 years older than Ben. If the total age of the three is 45, how old is Ben? 8. Mary is 5 times the age of Richard who is 7 years younger than Julia. If the total age of the three is 84, how old is Julia? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Helen is twice as old as Larry was 2 years ago. Helen will be 8 years old after 2 years. How old is Larry this year? 11. The circumference of a tire is 78 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. Sofia has a total of 15 $5 and $100 bills with a total value of $455. How many $100 bills does Sofia have? 14. Anne has a total of 14 $20 and $50 bills with a total value of $550. How many $20 bills does Anne have? 15. Morgan has a total of 18 $20 and $100 bills with a total value of $840. How many $20 bills does Morgan have? |