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 5, 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 800 and 899 inclusively with the largest digits sum? 7. Kevin is 3 times the age of Nancy who is 8 years older than David. If the total age of the three is 42, how old is David? 8. Edward is 4 times the age of Emily who is 7 years younger than John. If the total age of the three is 79, how old is John? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Emily is twice as old as Joe was 2 years ago. Emily will be 8 years old after 2 years. How old is Joe 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Mary has a total of 11 $5 and $100 bills with a total value of $530. How many $5 bills does Mary have? 14. Niconia has a total of 13 $20 and $50 bills with a total value of $410. How many $20 bills does Niconia have? 15. Jessica has a total of 15 $20 and $100 bills with a total value of $780. How many $20 bills does Jessica have? |