Improve your students' math skills and help them learn how to calculate fractions, percentages, and more with these word problems. The exercises are designed for students in the seventh grade, but anyone who wants to get better at math will find them useful.
The sections below contain two-word problem worksheets for students, in section Nos. 1 and 3. For ease of grading, identical worksheets, including the answers, are printed in section Nos. 2 and 4. More detailed explanations of some of the problems are also provided within the sections.
Worksheet 1 Questions
Find out what birthday cakes, grocery stores, and snowballs have in common with these fun word problems. Practice calculating fractions and percentages with problems such as:
When the birthday cake was about to be served, you were told you could have 0.6, 60%, 3/5, or 6%.
Which three of the choices will give you the same size portion?
Explain to students that the correct answer is .6, 60%, and 3/5 because all of these equal 60 percent, or six out of 10, or 60 parts out of 100. By contrast, 6 percent means just that: only six pennies out of 100, six parts out of a 100, or six tiny slivers of cake out of 100.
Worksheet 1 Answers
Find the solutions to the word problems that students tackled in the first math worksheet. The second problem, and answer, state:
Problem: 4/7 of the birthday cake was eaten on your birthday. The next day your dad ate 1/2 of what was left. You get to finish the cake, how much is left?
If students are struggling, explain that they can easily find the answer by multiplying fractions as follows, where "C" stands for the portion of cake that is left. They first need to determine how much cake was left after the birthday
- C = 7/7 - 4/7
- C = 3/7
Then they need to see what fraction was left the next day after dad gobbled up some more of the cake:
- C = 3/7 x 1/2
- C = 3 x 1 / 7 x 2
- C = 3 / 14
So 3/14 of the cake was left over after dad had a snack the next day.
Worksheet 2 Questions
Have students learn how to calculate a rate of return and how to divide a large area into smaller lots with these math problems. To help students, go over the first problem as a class:
Sam loves basketball and can sink the ball in the net 65% of the time. If he takes 30 shots, how many will he sink?
Explain to students that they simply need to convert 65% to a decimal (0.65), and then multiply that number by 30.
Worksheet 2 Answers
Find the solutions to the word problems students have tackled in the second math worksheet. For the first problem, demonstrate how to work out the solution if students are still having difficulty, where "S" equals shots made:
- S = 0.65 x 30
- S = 19.5
So Sam made 19.5 shots. But since you can't make half a shot, Sam made 19 shots if you don't round up.
Normally, you'd round up decimals five and greater to the next whole number, which would be 20 in this case. But in this rare case, you'd round down because, as noted, you can't make half a shot.