Math Problem Solving Practice

The questions will assess your mathematical ability and your logical reasoning. The word problems can range from short to long, from simple to complex.Some questions will only require mathematical ability to solve, others will require logical reasoning as well.

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Set Problems, with Venn Diagramshttps://magoosh.com/gmat/2012/gmat-sets-venn-diagrams/ 16. Scale Factor & Percent Changehttps://magoosh.com/gmat/2012/scale-factors-on-the-gmat-percent-increases-and-decreases/ 17. Standard Deviationhttps://magoosh.com/gmat/2012/standard-deviation-on-the-gmat/ 18. Radicalshttps://magoosh.com/gmat/2012/simplifying-radical-expressions-on-the-gmat/ 19. Function Notationhttps://magoosh.com/gmat/2012/function-notation-on-the-gmat/ 20. Algebraic Factoringhttps://magoosh.com/gmat/2012/algebra-on-the-gmat-how-to-factor/ 21. Hard Factorial Problemshttps://magoosh.com/gmat/2012/gmat-factorials/ 22. Backsolving from the answershttps://magoosh.com/gmat/2012/gmat-plugging-in-strategy-always-start-with-answer-choice-c/ 23. Distance in the x-y planehttps://magoosh.com/gmat/2012/gmat-coordinate-geometry-distance-between-two-points/ 24. Probability: AND & OR Ruleshttps://magoosh.com/gmat/2012/gmat-math-probability-rules/ 29. Probability: “at least” statementshttps://magoosh.com/gmat/2012/gmat-math-the-probability-at-least-question/ 30. Probability: counting problemshttps://magoosh.com/gmat/2013/gmat-probability-and-counting-techniques/ 31. Hard counting problemshttps://magoosh.com/gmat/2013/gmat-counting-with-restrictions/ 32. Probability: geometric probabilityhttps://magoosh.com/gmat/2013/geometric-probability-on-the-gmat/ Also check out these GMAT Probability questions.

Magoosh has practice materials for all of the GMAT question types in GMAT Quantitative We have plenty of free GMAT Practice materials right here on the blog.

Below is a link to thirty-two different articles on this blog, each with at least two Problem Solving questions.

The sample GMAT Problem Solving questions are often at the top of the article, although sometimes they are further down in the text.

Mike creates expert lessons and practice questions to guide GMAT students to success.

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.35A family pays 0 per year for an insurance plan that pays 80 percent of the first

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.

35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.

Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format.

70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996.

According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second.

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He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format. 70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996. According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second. Regular Math questions are the classic multiple-choice math problems that you find on many standardized tests.Regular Math questions consist of a question followed by 5 answer choices, one of which is correct.On the GMAT Quantitative section, the Problem Solving questions are just the familiar five-choice multiple choice math problems you have seen on every standardized test since well before puberty.Here, you have discovered a veritable treasure chest of Problem Solving sample questions. The next 15 percent increase in price results in a price of 1.15(1.15p), or 1.3225p. One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. 22.50% Answer: A Answer Explanation: If p is the original price, then the 15 percent increase in price results in a price of 1.15p. These distances must sum to 45 miles, so 4t 3(t 1) = 45, which may be solved for t as follows: 4t 3(t 1) = 45 4t 3t 3 = 45 7t = 42 T = 6 (hours) Therefore, Bob had walked 4t = 4(6) = 24 miles when they met.

,000 in expenses and 100 percent of all medical expenses thereafter.Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format. 70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the ,000 he saved in 1989, which amounted to (1.08)(,000), or ,240. Thus, Jane must have saved only ,000 - ,240 =

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.

35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.

Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format.

70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996.

According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second.

||

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format. 70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996. According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second. Regular Math questions are the classic multiple-choice math problems that you find on many standardized tests.Regular Math questions consist of a question followed by 5 answer choices, one of which is correct.On the GMAT Quantitative section, the Problem Solving questions are just the familiar five-choice multiple choice math problems you have seen on every standardized test since well before puberty.Here, you have discovered a veritable treasure chest of Problem Solving sample questions. The next 15 percent increase in price results in a price of 1.15(1.15p), or 1.3225p. One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. 22.50% Answer: A Answer Explanation: If p is the original price, then the 15 percent increase in price results in a price of 1.15p. These distances must sum to 45 miles, so 4t 3(t 1) = 45, which may be solved for t as follows: 4t 3(t 1) = 45 4t 3t 3 = 45 7t = 42 T = 6 (hours) Therefore, Bob had walked 4t = 4(6) = 24 miles when they met.

,760, which is

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.

35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.

Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format.

70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996.

According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second.

||

He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams.35A family pays $800 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter.Numerical Word Problems, also simply called math word problems, are mathematical questions presented in a verbal format. 70% Answer: C Answer Explanation: In 1990 Dick saved 8 percent more than the $3,000 he saved in 1989, which amounted to (1.08)($3,000), or $3,240. Thus, Jane must have saved only $5,000 - $3,240 = $1,760, which is $1,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996. According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second. Regular Math questions are the classic multiple-choice math problems that you find on many standardized tests.Regular Math questions consist of a question followed by 5 answer choices, one of which is correct.On the GMAT Quantitative section, the Problem Solving questions are just the familiar five-choice multiple choice math problems you have seen on every standardized test since well before puberty.Here, you have discovered a veritable treasure chest of Problem Solving sample questions. The next 15 percent increase in price results in a price of 1.15(1.15p), or 1.3225p. One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. 22.50% Answer: A Answer Explanation: If p is the original price, then the 15 percent increase in price results in a price of 1.15p. These distances must sum to 45 miles, so 4t 3(t 1) = 45, which may be solved for t as follows: 4t 3(t 1) = 45 4t 3t 3 = 45 7t = 42 T = 6 (hours) Therefore, Bob had walked 4t = 4(6) = 24 miles when they met.

,240 less than she saved in 1990. The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996. According to the table, net income in the basic materials sector decreased by 26 percent from the first quarter to the second. Regular Math questions are the classic multiple-choice math problems that you find on many standardized tests.Regular Math questions consist of a question followed by 5 answer choices, one of which is correct.On the GMAT Quantitative section, the Problem Solving questions are just the familiar five-choice multiple choice math problems you have seen on every standardized test since well before puberty.Here, you have discovered a veritable treasure chest of Problem Solving sample questions. The next 15 percent increase in price results in a price of 1.15(1.15p), or 1.3225p. One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. 22.50% Answer: A Answer Explanation: If p is the original price, then the 15 percent increase in price results in a price of 1.15p. These distances must sum to 45 miles, so 4t 3(t 1) = 45, which may be solved for t as follows: 4t 3(t 1) = 45 4t 3t 3 = 45 7t = 42 T = 6 (hours) Therefore, Bob had walked 4t = 4(6) = 24 miles when they met.