Word Problems (2)( Week 44 Evaluation) 1. How many boxes which can hold 8 apples are needed to hold 120 pounds of apples if two apples weigh one pound? 2. People are sorted by their last name in lots of cases. A school is trying to be fair, so students are sorted with various systems in different occasions. One of the systems is based on a calculated index of their first name. Let A=1, B=2, C=3, ..., Y=25 and Z=26. The calculated index is determined by adding the value of all letters in the name. Can you sort the following names based on the system in ascending index value (if both names have the same index value, keep their original order)? You need to type the names exactly as they are shown below with the first character in upper case. Before sort: Josh, Hillary, Rene. After sort: , , . 3. In a group of 55 high school students, 32 of them took Economics, 30 of them took Science, and 15 took both subjects. How many of them took neither Economics nor Science? 4. Out of 80 people, 28 can both swim and ski, and 18 cannot swim nor ski. If 60 people can swim, how many people can ski? 5. There are 24 tables numbered 1-24 which are equally spaced around a round garden in the number order. What is the number of the table directly across from the table numbered 8? 6. The charge for a taxi ride in a city is $1.50 for the first mile and then $0.70 for each additional mile. What is the cost for a ride of 14 miles? 7. Emily spent exactly $1 for 5-cent stamps and 16-cent stamps. How many 5-cent stamps did she buy? 8. If the cost of 5 apples is equal to the cost of 6 oranges, and the cost of 8 oranges is equal to the cost of 9 pears. How many apples would have the same cost as 162 pears? 9. The edges of a square area is 2000 yards. Nick go 330 yards due north from the center of the square , and then walk 550 yards due east. In which of the following will Nick walk out of square ranges from current point?
I. due north 674 yards
II. due south 1464 yards
III. due east 132 yards 10. A fast clock gains 2 minutes per hour and a slow clock loses 8 minutes per hour. At a certain time, both clocks are set to the correct time. At some point in the next 6 hours, the slow clock registered 04:00, and at the same moment the fast clock registered 05:00. What was the correct time at that moment (Express your answer as HH:MM)? |