Math Olympiad 4( Week 10 Quiz 2) 1. A farmer has ducks, geese, and hens. He feeds them with a certain amount bird food every day. A duck eats twice as much as a hen and a goose eats 3 times as much as a hen. Half of the food is fed to 5 ducks and 5 geese, and another half is fed to hens. How many hens does the farmer have? 2. Write down the first 5 common multiples of 4 and 6. Separate each number with a comma. 3. What is the multiple of 2 between 600 and 699 inclusively with the largest digits sum? 4. There are 25 pens and 37 pencils that are distributed evenly to a group of students with exactly one pen and one pencil left. What is the greatest possible number of students in the group? 5. Jessica is jogging through a trail at a speed of 2.9 mph. If the trail is 1.74 miles long, how many minutes will it take her to go through the trail? 6. There are four boxes each contains a certain number of cards. The first and second boxes contain a total of 35 cards, the second and third contain a total of 56 cards and the third and fourth contain a total of 74 cards. What is the sum of cards in the first and fourth boxes? 8. A natural number has a remainder of 1 when it is divided by 4, and has a remainder of 4 when it is divided by 7. What is the smallest possible value of the natural number? 9. Niconia and George are 335 miles apart and drive toward each other. Niconia travels at 30 miles per hour while George travels at 37 miles per hour. In how many hours will they meet? 10. Suppose a bee can fly 3 feet per second. At this rate, how many feet will it fly in 4 minutes? 11. What is the least common multiple (LCM) of 10 and 30? 12. What is the product of 9 × 1.21? 14. How many multiples of 9 are there between 600 and 699 inclusively with at least one digit being zero? 15. The speedometer of a car indicated that the car was traveling at a speed of 84 mph. How many miles was the car traveling per minute? Note that 1 hour = 60 minutes |