Name: ______________________________________________
Block: __________
Word Problems Quiz
Solve all 4 problems from Part A and choose at least 3 problems from Part B to
meet this standard. Solve problems from part C to Exceed. Show all work
PART A: (Solve all 4)
1) Working alone, Ryan can dig a 10 ft by 10 ft hole in seven hours. Castel can dig the same hole in
six hours. How long would it take them if they worked together? Round to nearest 100th.
3.23 hours
2) Find the value of two numbers if their sum is 19 and their difference is 5. 12 and 7
3) 20 oz. of mixed nuts containing 70% peanuts was mixed with 12 oz. of another kind of mixed nuts
containing 30% peanuts. What percent of the new mixture is peanuts?
55%
4) Stefan made a trip to the train station and back. The trip there took three hours and the trip back
took five hours. He averaged 27 km/h on the return trip. Find the average speed of the trip there.
45 km/h
PART B: (Choose at least 3)
1) The school that Julio goes to is selling tickets to a choral performance. On the first day of ticket
sales, the school sold 2 senior citizen tickets and 1 student ticket for a total of $30. The school took
in $40 on the second day by selling 3 senior citizen tickets and 1 student ticket. What is the price of
one senior citizen ticket and one student ticket?
Senior Citizen Ticket: $10
Student Ticket: $10
2) Working alone, it takes Mofor ten hours to paint a fence. Aliyah can paint the same fence in nine
hours. How long would it take them together?
4.74 hours
3) 4 fl. oz. of a 35% alcohol solution was mixed with 1 fl. oz. of a 65% alcohol solution. Find the
concentration of the new mixture.
41%
4) A submarine made a trip to Madagascar and back. The trip there took two hours and the trip back
took three hours. It averaged 10 km/h on the return trip. Find the average speed of the trip there.
15 km/h
Please initial here to indicate that you have worked ethically on this assessment. ___________
Part C: Solve these problems to exceed the standard. Four correctly
solved problems (along with your work) will earn a score of 4.
1) Ryan can paint a fence in ten hours. Asanji
can paint the same fence in eight hours. If
they
worked together how long would it take
them?
4.44 hours
2) Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges
and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a
total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Find the cost each of one small box of oranges and one large box of oranges. small box of oranges: $7, large box of oranges: $13
3) A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to
melt and
combine one metal that is 60%
gold with another metal that is 40% gold.
How much of each should he use?
6.2 lb. of 60% gold, 6.2 lb. of 40% gold
4) Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph
faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's average
speed.
20 mph
5) Chelsea left the White House and traveled 10) toward the capital at an average speed of 34
km/h.
Jasmine left at the same time and
traveled in the opposite direction with an average speed of 65
km/h. Find the number of hours Jasmine needs to travel before they are 59.4 km apart.
0.6 hours
6) A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back
took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
boat: 26 mph, current: 2 mph
7) Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they
combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25%
peanuts. How much of each do they need to use in each 21 oz. bag?
8.4 oz. of Brand A, 12.6 oz. of Brand B
8) I started working at 15. I spent 1/4 of my working life in a factory. I spent 1/5 of my working life in
an office, and I spent 1/3 of my working life as a school caretaker. For the last 13 years of my working
life I've been a Janitor. How old am I?
75 years old