Example 1
Once a week Mrs. Baker makes sugar cookies. The first week she makes the recipe, she uses the full 2 cups of sugar called for. Each week after that, she reduces the amount of sugar by one third.
(a) How much sugar does she use for the cookies on the fifth week?
(b) How much sugar does she use for cookies over half a year?
(c) If Mrs. Baker became immortal and baked cookies every week for all eternity, how much sugar would she use?
Example 2
Mr. Vold is a sadistic teacher who likes writing lots of exam questions. He usually starts out the semester with only 10 questions on the first exam, but for each subsequent exam he writes one and a half as many questions as were on the previous exam! Since there’s no such thing as half a question and Mr. Vold likes writing questions, round your answers up to the next integer.
(a) How many questions are on the second exam of the semester?
(b) How many questions are on the third exam of the semester?
(c) How many questions are on the fifth exam of the semester?
(d) If Mr. Vold wrote 20 exams in a semester, how many total exam questions would they have all together?
Example 3
Mo reads a lot of books. When he was five years old he read 4 books. Each year he reads three more than twice the number of books he read the previous year.
(a) How many books does Mo read when he’s six years old?
(b) How many books does Mo read when he’s eight years old?
(c) Give a formula for the number of books Mo reads when he’s 5 + i years old. It’s ok if there’s a summation sign in your formula.
(hint: When finding the answers to (a) and (b), don’t simplify too much).
(d) Use your formula from (c) to calculate how many books Mo reads when he’s fifteen years old.
Check your answer by computing the same number without using the formula.
Example 4
On January 1st Komi puts $100 into his bank account. On the first of each month after that he deposits an additional $10.
(a) How much money is in Komi’s account at the end of February?
(b) How much money is in Komi’s account at the end of March?
(c) How much money is in Komi’s account after n months?
Example 5
On January 1st Kendra puts $100 into her bank account. On the first of each month after that she deposits an additional $100. Unfortunately, during the middle of the month she always has to withdraw 75% of her money to pay bills.
(a) How much money is in Kendra’s account at the end of March?
(b) How much money is in Kendra’s account at the end of n months? Write your answer in closed form.
Example 6
Lizette decides that starting in January she will deposit $50 into her bank account at the start of each month. Her account earns 0.25% interest per month. Interest is calculated at the end of each month. Truncate answers to two decimal places.
(a) In the middle of February, how much money is in Lizette’s account?
(b) In the middle of March, how much money is in Lizette’s account?
(c) In the middle of the nth month (where January is the 1st month, February is the 2nd month, etc.), how much money is in Lizette’s account? Give your answer in closed form.
(d) In the middle of December, how much money is in Lizette’s account?
Estimation word problems for 6th Grade
Grade 6 math word problem worksheets with answers — Estimation word problems for 6th Grade are made of the following Math skills for kids: estimate to solve word problems, multi steps word problems, identifying word problems with extra or missing information, distance direction to starting point word problems, using logical reasoning to find the order, guest and check word problems. All these exercises have been created to generate interest and eagerness for more math word problems operations.
6th GRADE MATH PRINTABLES
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Important facts about word problems solving and estimation for Grade 6
In a significant way, our super amazing problem solving and estimation worksheets will help your young math learners to quickly understand the relevance of estimation skills in math concepts and real life.
It should be noted that, not only are these problem solving and estimation skills a key part in math concepts, but are equally an important approach to boast your kid’s mental math skills, logical and creative thinking abilities.
How can estimation skills enhance kid’s accuracy and experts in math?
If your kids can vividly estimate reasonably, then there’ll be no doubt that their accuracy in math will increase, thus math experts.
Moreover, with estimation skills, they can quickly determine whether their answer is within a reasonable range or not.
Given that estimation skill enhances kid’s mental math competency, your 6th grader will be able to arrive at reasonable or concrete answers within a twinkle of an eye.
Most importantly, these problem solving and estimation skills will not only strengthen kid’s skills on basic math operations, but will prepare them for areas of advanced math, such as probability, statistics, geometry and algebra. At this point, they will be required to apply logical reasoning and estimation skills.
How is estimation skill relevant in our daily lives?
Whether at home, in the market, on the street or among friends, our activities will always be surrounded around estimation. This is true as we keep on using the phrase “Let’s say…….”.
So, problem solving and estimation skills will help your kids to easily;
- Estimate recipes when cooking, baking, etc.
- Estimate the cost of items in a grocery store, i.e. if you want to stay within a budget
- Estimate the number of people you’ll invite for your coming event, depending on the budget available.
- Estimate and know how to manage or spend your precious time. This will prevent careless distractions and as well encourage you to accomplish your task.
Vital strategies, best for solving estimation word problems for 6th grade
Our grade 6 math word problem worksheets with answers are a perfect example for kids to grab vital strategies, best for solving estimation word problems for 6th grade.
What then are those peculiar strategies to consider when faced with situations of problem solving and estimation?
Most at times, math word problems require a step-by-step solving procedure. This is relevant to our multi steps word problems exercise. But before we begin solving these word problems, we need to;
- Carefully read the entire problem, twice, in order to better understand its key words.
- Having understood the problem well, endeavor to estimate the answer before solving.
- When solving, show a step-by-step calculation, making visible diverse operation signs where necessary.
Finally, check the reasonableness of your answer by comparing it with the one you estimated above.
Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Each answer should be given as a positive or a negative integer. Do not enter commas in your answers.
Hints: Always double check the sign of your answer. Does it make sense for the problem? When subtracting integers, be sure to subtract the smaller integer from the larger integer. The smaller integer is farther to the left on the number line.
1. |
Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations? |
| 2. |
In Buffalo, New York, the temperature was —14°F in the morning. If the temperature dropped 7°F, what is the temperature now? |
| 3. |
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position? |
| 4. |
Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay? |
| 5. |
Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last? |
| 6. |
Lilly bought 4 pairs of blue jeans at $32 each. How much money did she pay the clerk? |
| 7. |
A submarine was situated 450 feet below sea level. If it descends 300 feet, what is its new position? |
| 8. |
In the Sahara Desert one day it was 136°F. In the Gobi Desert a temperature of -50°F was recorded. What is the difference between these two temperatures? |
| 9. |
The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last?
|
| 10. |
Metal mercury at room temperature is a liquid. Its melting point is —39°C. The freezing point of alcohol is—114°C. How much warmer is the melting point of mercury than the freezing point of alcohol? |
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Word problems don’t have to be woeful! Master math and reading all in one go, with these easy word problems for beginners.
Download all (12)
Click on a worksheet in the set below to see more info or download the PDF.
Problem Solving: Adding Apples
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Problem Solving: Subtracting Sea Life
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Animal Addition: Problem Solving
Looking for a first grade worksheet to help your child with math skills? This printable is all about solving word problems with animal addition.
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Simple Addition Word Problems
This colorful, first grade addition worksheet really has it all: practice with addition word problems, counting, and drawing!
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Pattern Practice Problems
This math worksheet offers a triple learning whammy: kids practice completing patterns and solving word problems as they sharpen their reading comprehension.
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Simple Math Word Problems
Your first grader will get some practice with beginning word problems as he puts together some tasty burgers.
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Easy Word Problems
Numbers and math are everywhere, even on pizza! Add and subtract pizza toppings with these simple word problems for beginners.
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Simple Word Problems
Create mathematical fruit salad as you add and subtract different types of fruit with this worksheet full of beginners’ word problems.
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At the Ballpark: Addition and Subtraction
Even at the ballpark, solving story problems is important. How much will it cost to buy a hot dog and an ice cream cone?
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At the Toy Store: Addition and Subtraction
Looking for a worksheet to help your child with his math skills? This printable is all about solving word problems at the toy store.
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Adding Three Numbers!
Can your first grader practice adding three numbers together to help these working people do their jobs?
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Ice Cream Graph #20
Young entrepreneurs Sam, Kate, and Becky sold some ice cream cones, but they need help figuring out how many. Exercise pictograph skills in this worksheet.
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Does your job application require you to pass a math word problem test? Don’t worry we’ve got you covered! Assessment-Training.com offers realistic test simulations developed by psychologists with years of experience designing tests for large publishers such as CEB/Gartner, Talent Q, Kenexa, and TalentLens.
By clicking the image below you can practice 3 free questions of our math word problem practice tests:
Ability tests are a typical part of the selection process, or for development within the workplace. Math word problem tests are used in aptitude tests as well as in SAT and ACT tests. Math word problem tests are standardized psychometric assessment tests that provide the employing organization with information about a candidate’s general reading comprehension skills, ability to visualize information and numerical aptitude.
Employers choose to use psychometric testing during their recruitment process to help give a better overall evaluation of candidate’s and their suitability for the job that they’re applying for. Psychometric testing could help to gauge the future performance of candidate’s and also improve employee retention by making successful hiring decisions.
The most common way for employers to use aptitude tests such as math word problem tests, is online. Traditionally, aptitude tests have taken the form of pen and paper but due to benefits such as saving valuable time and money, online testing is used more and more frequently. Undertaking aptitude tests is usually the follow-up action after an employer has accepted your CV or initial job application form.
If you pass the online test in some cases you are invited to an assessment centre, which is usually done by larger employers. The term assessment centre is used due to the fact that employers conduct these extended assessment in a single centre, either an office of the employers themselves or at a third party venue. The assessment centre is often (but not always) a day that constitutes the final stage of the application process. At the assessment centre they will ask you to sit a repeat test at the assessment centre to verify your earlier test scores, therefore don’t get your friends or family to help you out during the online test!
Preparing for an assessment centre or online aptitude test can be stressful due to the fact that you don’t know what to expect. The best way to familiarize yourself is with practice aptitude tests that mimic the tests used by employers and recruiters. Assessment-Training.com has prepared thousands of candidates for their assessments and aptitude tests by offering realistic test simulations with fully worked solutions.
By practicing math word problem tests you can improve your performance during the real test by familiarizing yourself with the format and time-pressure. Important characteristics of math word problem tests are:
- Candidates are required to answer the math word problems using the facts presented in the form of a short text or passage. Note: you should only use the information given; do not make assumptions about data that is not given.
- Math word problem tests are usually multiple-choice (only one option is correct in each case).
- Math word problem tests are administered under exam conditions and strictly timed. The given time per test differs per test publisher; some tests give relatively generous time limits, while others are shorter.
- Test takers are usually permitted to use a rough sheet of paper and/or a calculator (note: the use of a calculator may not be permitted in all tests!).
- In order to translate the math word problems into actionable math questions you can then solve, you will need to understand and know how to utilise key math terms. This means that when you come across these words, you can translate them into the proper mathematical action. Please also take into consideration that many mathematical actions have more than one term attached and they can be used interchangeably.
Doing some research about the tests that you need to take is the most important step in preparation for any aptitude test. If you know what to expect you will increase your chances of performing well due to the fact that you’re familiar with the formats. Also, by practicing aptitude tests you will reveal your own strengths and weaknesses that you can work on in preparation for the actual assessment.
Therefore, we advise you to find out the test publisher and exact name of the tests that you are about to take, and then search Assessment-Training.com or contact us to get more details about this test.
These effective test-taking strategy tips and tricks are well worth remembering before you take the actual math word problem tests:
- Practice, practice and practice some more to ace your assessment and aptitude tests!
- Read the entire word problem first! Don’t try to solve anything until you get a feel for the whole question.
- Be prepared with a pen and a piece of paper when doing the online test.
- Orient yourself by making note of the information that is given throughout the problem.
- Label variables with what they stand for.
- Don’t cheat. This is an important one. Many employers use verification tests to validate your previous results, to see if you have collaborated on your test. Large test publishers often use software that compares your response patterns and performance between the online test and the follow-up supervised test.
- Find out if you are allowed to use a calculator during the test at the assessment centre. If so, make sure you learn how to use a calculator properly and wisely. Effective use of a calculator can help you save precious time and energy during the test.
Assessment-Training.com is the market leader in online assessment preparation. With our continuous research and development, we provide a leading-edge e-learning platform. We keep improving our tests to deliver tests with the same standards of the latest tests of all the big assessment publishers. Our products help candidates complete their application fully prepared. Our goal is to help you get ready for your assessment, regardless the company, job, or level you are applying for!
To help you ace your Word Problem Test we put together a preparation package, tailor made for your assessment. These tests contain the same questions you can expect in your actual assessment.
All practice tests come with worked solutions and an explanation on how to get to the right answer. Our Personal Progression System will help you track your progress and give a detailed view of your performances. Assessment-Training is more than just a training platform, we are here to help you!
Start training now and get immediate access to the tests and practice 24/7 on your computer, phone or tablet!
This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step, two-step and multi-step equations that involve integers, fractions, and decimals. These worksheets are best suited for students in grade 6 through high school. Click on the ‘Free’ icons to sample our handouts.
Two-Step Equation Word Problems: Integers
Interpret this set of word problems that require two-step operations to solve the equations. Each printable worksheet has five word problems ideal for 6th grade, 7th grade, and 8th grade students.
MCQ — Two-Step Equation Word Problems
Pick the correct two-step equation that best matches word problems presented here. Evaluate the ability of students to solve two-step equations with this array of MCQ worksheets.
Multi-Step Equation Word Problems: Integers
Read each multi-step word problem in these high school pdf worksheets and set up the equation. Solve and find the value of the unknown. More than two steps are required to solve the problems.
