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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. 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%, 35, 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 35 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. Find the solutions to the word problems that students tackled in the first math worksheet. The second problem, and answer, state:Problem: 47 of the birthday cake was eaten on your birthday. The next day your dad ate 12 of what was left. You get to finish the cake, how much is left?Answer: 314If 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 birthdayThen they need to see what fraction was left the next day after dad gobbled up some more of the cake:C = 37 x 12C = 3 x 1 7 x 2C = 3 14So 314 of the cake was left over after dad had a snack the next day. 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. 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:So Sam made 19.5 shots. But since you cant make half a shot, Sam made 19 shots if you dont round up.Normally, youd round up decimals five and greater to the next whole number, which would be 20 in this case. But in this rare case, youd round down because, as noted, you cant make half a shot. Jonathan Kirn, Getty ImagesThe following list provides you with the basic 7th-grade math concepts that should be attained by the end of the school year. Mastery of the concepts at the previous grade is assumed. A standard seventh-grade course of study includes numbers, measurements, geometry, algebra, and probability. Heres a breakdown of the specific topics. Give factors, multiples, integer amounts and square roots for numbers.Compare and order decimals, fractions, and integers.Add and subtract integers.Be able to perform multi-step word problems for all of the above operations.Add, subtract, multiply and divide fractions and convert between fractions, decimals, and percents.Explain and justify a variety of procedures for the above-related concepts in problem-solving. Use measurement terms appropriately, be able to measure a variety of items at home and at school.Be able to solve more complex problems with measurement estimations problems using a variety of formulas.Estimate and calculate areas for trapezoids, parallelograms, triangles, prisms circles using the correct formulas.Estimate and calculate volumes for prisms, sketch prisms (rectangular) given the volumes. Hypothesize, sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems.Sketch and construct a variety of shapes given the dimensions.Create and solve a variety of geometric problems.Analyze and identify shapes that have been rotated, reflected, translated and describe those that are congruent.Determine if shapesfigures will tile a plane (tessellate).Analyze different types of tiling patterns. Extend, analyze and justify the explanations for patterns and their rules and a more complex levelBe able to write algebraic equationsexpressions and write statements to understand simple formulas.Evaluate a variety of simple linear algebraic expressions at a beginning level-- 1 variable and first-degree.Be able to solve and simplify algebraic equations with the 4 operations.Substitute natural numbers for variables when solving algebraic equations. Design surveys, collect and organize more complex data and identify and explain patterns and trends in data.Construct a variety of graphs and label them appropriately and state the difference between selecting one graph over another.Defend your choices of graphs.Make more accurate predictions based on data.Understand the importance of statistics on decision making and provide real-life scenarios.Describe collected data in terms of mean, median, and mode and be able to analyze any bias.Make inferences, predictions, and evaluations based on interpretations of data collection results.Be able to predict possible outcomes based on background information.Apply the rules of probability to games of chance and sports.Course Topics for All Grades
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