Monday, December 4, 2023

# Geometry Word Problems 9th Grade

## Geometry Word Problems Involving Area

Grades 7th to 9th ~ Multi-Step Word Problems: Find the Area

Example 1:A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the area will be 60 square inches. What were the dimensions of the original rectangle?

• We get two values for x.

Since x is a dimension, it would be positive. So, we take x = 4

The question requires the dimensions of the original rectangle.The width of the original rectangle is 4.The length is 4 times the width = 4 × 4 = 16

Answer: The dimensions of the original rectangle are 4 and 16.

Example 2:This is a geometry word problem that we can solve by writing an equation and factoring.The height of a triangle is 4 inches morethan twice the length of the base. The area of the triangle is 35square inches. Find the height of the triangle.

## Final Thoughts About Math Word Problems

Youll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, theyll be more relevant to — and engaging for — your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

## Answers To The Above Questions

• measure of A = 60 degrees, measure of B = 30 degrees
• length of DF = 17 cm
• measure of A = 87 degrees
• size of angle MAC = 55 degrees
• size of angle MBD = 72 degrees
• size of angle DOB = 93 degrees
• size of angle x = 24 degrees
• perimeter of large rectangle = 84 cm
• measure of angle QPB = 148 degrees
• area of given shape = 270 square cm
• area of shaded region = 208 square cm
• ratio of area of outside square to area of inscribed square = 2:1
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## Geometry Word Problems Involving Similar Triangles

Indirect Measurement Using Similar Triangles

This video illustrates how to use the properties of similar triangles to determine the height of a tree.

How to solve problems involving Similar Triangles and Proportions?

Examples:

• Given that triangle ABC is similar to triangle DEF, solve for x and y.

• The extendable ramp shown below is used to move crates of fruit to loading docks of different heights.When the horizontal distance AB is 4 feet, the height of the loading dock, BC, is 2 feet. What is the height of the loading dock, DE?

• Triangles ABC and ABC’ are similar figures. Find the length AB.

• How to use similar triangles to solve a geometry word problem?

Examples:Raul is 6 ft tall and he notices that he casts a shadow thats 5 ft long. He then measures that the shadow cast by his school building is 30 ft long. How tall is the building?

## Physical Measurement Word Problems

72. Comparing Measurements: Cassandras ruler is 22 centimetres long. Aprils ruler is 30 centimetres long. How many centimetres longer is Aprils ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Michas dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Michas dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Michas dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Michas dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

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## How To Easily Make Your Own Math Word Problems & Word Problems Worksheets

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

• Link to Student Interests: By framing your word problems with student interests, youll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
• Make Questions Topical: Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
• Include Student Names: Naming a questions characters after your students is an easy way make subject matter relatable, helping them work through the problem.
• Be Explicit: Repeating keywords distills the question, helping students focus on the core problem.

Dont:

• Test Reading Comprehension: Flowery word choice and long sentences can hide a questions key elements. Instead, use concise phrasing and grade-level vocabulary.
• Focus on Similar Interests: Framing too many questions with related interests — such as football and basketball — can alienate or disengage some students.
• Feature Red Herrings: Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

A key to differentiated instruction, word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

## Probability And Data Relationships Word Problems

89. Understanding the Premise of Probability: John wants to know his classs favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Mauritas 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felices 4 tests: 3, 3, 3. If Mauritas mean for the 4 tests is 1 point higher than Felices, whats the score of Felices 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for \$7.00. Store B is selling 3 pounds of bananas for \$6.00. Which store has the better deal?

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## Which Number Is Equal To Its Square

Some of the worksheets for this concept are trigonometry word problems, proportion word problems, pythagorean theorem word problems ws 1 name please, money word problems, math measurement word problems no problem, two step word problems, word. Jerry and silvia wanted to go from the. Bob has in his pocket a number of pennies, 5 times as many nickels as pennies and 5 more quarters than pennies.

## Math Word Problems To Challenge Students Grades 1 To 8

Category

• Teaching Tools

You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesnt come.

Whether youre a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes.

There are 120 examples in total. Helping you sort through them to find questions for your students, the resource is categorized by the following skills with some inter-topic overlap:

The list of examples is supplemented by tips to create engaging and challenging math word problems.

## Geometry Word Problems Involving Angles

Example 1:In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

• The question requires the values of all the angles.Substituting x for 35, you will get: 35, 35, 70, 220

Answer: The values of the angles are 35°, 35°, 70° and 220°.

Example 2:The sum of the supplement and the complement of an angle is 130 degrees. Find the measure of the angle.

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## Ratios And Percentages Word Problems

82. Finding a Missing Number: The ratio of Jennys trophies to Merediths trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jennys trophies to Merediths trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The schools junior band has 10 saxophone players and 20 trumpet players. The schools senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change:A decade ago, Oakvilles population was 67,624 people. Now, it is 190% larger. What is Oakvilles current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

## Comparing And Sequencing Word Problems

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

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## Our Free 3rd Grade Math Worksheets Being Colorful And Engaging Help Them Enjoy Practicing

Fun basic math facts worksheets , for 2nd grade and 3rd grade math centers for consolidation of number bonds to 20, adding and subtracting within 20, fact families, simple doubles, and near doubles.these were designed as a fun alternative to standard worksheets to provide variety and extra practice beyond 1st grade, including some. Students can easily overcome their difficulties with addition and subtraction if they practice the concepts creatively and engage. As you scroll down, you will see many worksheets for addition, subtraction, and more.

## Grade 9 Algebra Word Problems

These lessons cover grade 9 algebra word problems involving age, distance, rate, time and coins with examples and step-by-step solutions? Includes various examples and solutions for algebra word problems that you will commonly encounter in grade 9.

Related Pages

Age Problems with two unknowns or variables

Example:Taylor is five times as old as Spenser. The sum of their ages is eighteen. How old are Taylor and Spencer?

Solution:Let x represent Spensers ageTherefore, Taylors age is 5xx + 5x = 18

Grade 9 Algebra Word Problems – Age

Example 1:A mother is three times as old as her daughter. Six years ago, the mothers age was six tines that of her daughter. How old are they now?

Solution:Let x represent the daughters age.Therefore, 3x is the mothers age.6 = 3x – 6Therefore, the daughters is 10 years old and the mother is 30 years old.

Example 2:A father is now three times as old as his son. Eight years ago, the father was five times as old as his son. How old are they now?

Grade 9 Algebra Word Problems – Rate, Distance, Time

Example:A bus leaves the terminal and averages 40 km/hr. One hour late, a second bus leaves the same terminal and averages 50 km/hr. In how many hours will the second bus overtake the first?

Grade 9 Rate, Distance, Time Word Problems

Example 1:One motorist travels 5 km.hr faster than another. They leave from the same place and travel in opposite directions. What is the rate of each if they are 195 km apart after 3 hours?

## Check Out These 50 Third Grade Math Word Problems Of The Day

The area of Happytown is 42 square miles.

Opening your daily math lesson with a Math Word Problem of the Day is an excellent way to set the stage for learning. We all know that word problems are difficult for young learners to grasp, even when the mathematical operation portion of the problem is basic.

Incorporate these third grade math word problems one day at a time at the start of your math block to build confidence, critical thinking skills, and a learning community. Students will get used to reading slowly for meaning, while also identifying key information. Encourage students to write out equations and draw pictures to explain their thinking, since this helps them see the light when they are stuck!

Topics covered include addition, subtraction, multiplication, division, mixed operation, fractions, area & perimeter, and measurement! All you need to do is post one of these third grade math word problems on your whiteboard or projector screen. Then let kids take it from there.

If youd like even more math word problems, we publish them daily on our kid-friendly site: the Daily Classroom Hub. Make sure to bookmark the link!

Want this entire set of word problems in one easy document? Get your free PowerPoint bundle by submitting your email here.

## Th Grade Math Word Problems

2022 STAAR Math ~ 4th Grade (Word Problems) Part 1

9Th Grade Math Word Problems. Find the length of the other diagonal. The coins amount to \$2.27.

The word problems in this printable will give children practice with their algebra and problem solving skills. Sum of the angles in a triangle is 180 degree worksheet. Some of the worksheets for this concept are algebra word problems no problem, geometry word problems no problem, word problem practice workbook, mat 070 algebra i word problems, finding the mean median mode practice problems, two step word problems, 501 algebra.

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In fact, our grade 9 math worksheets help you test your knowledge and bridge the knowledge gap accordingly. Solutions and detailed explanations are also included.

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This collection of printable math worksheets is a great resource for practicing how to solve word problems both in the classroom and at home. You may solve these worksheets by yourself or with your peers while studying together.

Source:

Printable math worksheets for grade 9. Word problems for usd, gbp, eur, cdn, and more give pupils practice interpreting tables and exchanging money from one.

Source: Source: www.worksheeto.com

Find a such that the equation 2x + 1 = 2a + 3 has a solution at x = 2. X = x 2 solve the above equation by factoring.

Source:

Simply click on the direct links available for corresponding topics and allot time to the areas you feel difficult. Find algebra word problems worksheets for both level 1 and level 2.

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## Mixed Operations Word Problems

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?