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## Grade 6 Maths word Problems With Answers

- Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
- If the area of a circle is 81pi square feet, find its circumference.
- Find the greatest common factor of 24, 40 and 60.
- In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
- If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
- Find k if 64 ÷ k = 4.
- Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
- What is x if x + 2y = 10 and y = 3?
- A telephone company charges initially $0.50 and then $0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
- A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
- A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
- A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
- A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.
- A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
- A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
- The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
- John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
- Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
- A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
- A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
- Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
- Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
- The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distsnce will the dog have travelled when Harry and Kate meet each other?

Answers to the Above Questions

- a) 13:12 b)12:25
- 0.50 + N * 0.11
- 4.5 gallons
- 450 centimeters squared
- 108 cubic centimeters
- 1250 meters/minute
- Carla:5 years, Jim: 6 years, Peter: 19 years.
- 3000 meters

## POPULAR PAGES

- Grade 6 Math word Problems With Solutions and Explanations
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- Percent - Grade 6 Math Questions and Problems With Answers

## Grade 6 Math Word Problem Worksheets with Answers

Estimation word problems for 6th grade.

## FREE WORKSHEETS

## 6 th GRADE MATH PRINTABLES

Best of free 6 th grade math worksheets categories.

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## FREE 6 th GRADE ONLINE PRACTICE

## 6 th GRADE MATH ONLINE PRACTICE

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See all 6 th Grade skills (1000+ math exercices online)

## Important facts about word problems solving and estimation for Grade 6

## How can estimation skills enhance kid’s accuracy and experts in math?

## How is estimation skill relevant in our daily lives?

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 6 th grade

- 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.

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## Proportions word problems

## Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

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## GRADE 6 MATH WORD PROBLEMS WITH ANSWERS

A train travels 18 km/hr. How many meters will it travel in 12 minutes.

Speed of train in m/sec = 18 ⋅ ( 5/18)

Distance covered in 720 seconds = time taken (Speed)

So, the distance covered is 3600 m.

The average age of 30 kids is 9 years

Average age = Sum of ages/Total number of ages

Sum of ages of 30 kids = 30 ⋅ 9

Sum of ages of kids and teacher = 270 + x

Average age of kids and teacher = (270 + x)/31

So, the required age is 40 years.

Curved surface area of cylinder = 2 Π r h

Jack purchases a calculator for $350 and sells for $420.Then the percentage of profit is

Cost price of a calculator = $350

Selling price of the calculator = $420

Profit = Selling price - Cost price

profit percentage = (profit/cost price) ⋅ 100

The average of 6 numbers is 8. What is the 7th number, so that its average will become 10 ?

Average = Sum of numbers/Number of terms

If 7th term is added with this total, its average will become 10

Find the number of prime factors of 6 10 × 7 17 × 55 27

= (2 x 3) 10 × 7 17 × (5 x 11) 27

= 2 10 x 3 10 × 7 17 × 5 27 x 11 27

Total number of prime factors = 10 + 10 + 17 + 27 + 27

If 12 man can do a piece of work in 36 days. Within how many days 18 men can do the same work ?

Work done = Number of days ⋅ number of men

Work done = Number of days ⋅ 18 ----(2)

So, the required number of days is 24.

The distance covered in both cases are same.

5 hours 48 minutes = 5 4/5 hours

29/5 = (Distance / 25) + (Distance / 4)

29/5 = (4 Distance + 25 Distance) / 100

The sum of reciprocal of (3/2) and the reciprocal of 3 is

Sum of these two numbers = (2/3) + (1/3)

So, the correct answer for this question is 1

It is 9 hours now in a 12 hour clock. What will be the time after 18 hours ?

Now, the time is 9 hours. We want to know the time after 18 hours.

To get answer for our question, we have to do the following steps.

Divide the result by the divisor 12

When 27 is divided by 12, the remainder is 3

The time after 18 hours will be 3 hours. So the answer is 3 hours.

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## Recent Articles

Expressing a number as the sum of prime numbers.

## Prime and Composite Numbers Worksheet

## Prime and Composite Numbers

## Realistic Math Problems Help 6th-graders Solve Real-Life Questions

## Worksheet No 1

## Worksheet No. 1 Solutions

Print Solutions PDF : Worksheet No. 1 Solutions

## Worksheet No. 2

## Worksheet No. 2 Solution

Print PDF Solutions : Worksheet No. 2 Solution

## 6th Grade Math Word Problems (Percentages)

In this lesson, we will learn how to solve percent word problems

## Using Bar Models

Examples of solving percent problems with bar models

## Using Grid Method

## Solving Percentage Word Problems Using Proportions

Practice solving percentage word problems by setting up a proportion and solving.

- What is 15% of 40?
- 12 is 20% of what number?
- 22 is what percent of 5?
- 4 is what percent of the quotient of 15 and 3?

## IMAGES

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## COMMENTS

Grade 6 Maths word Problems With Answers · Two numbers N and 16 have LCM = 48 and GCF = 8. · If the area of a circle is 81pi square feet, find its circumference.

An explanation of how to solve multi-step equations for X, a variable. ... Grade 6 Math #10.6, Problem Solving - Word Problems for X.

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

Grade 6 math worksheets on solving proportions word problems. Free pdf worksheets from K5 Learning's online reading and math program.

daily life. Math Word Problems Made Easy: Grade 6 is designed to help you help students sharpen their problem-solving abilities (and share a.

GRADE 6 MATH WORD PROBLEMS WITH ANSWERS ... Problem 1 : A train travels 18 km/hr. How many meters will it travel in 12 minutes. ... So, the distance covered is 3600

The multiples of 6 are 6, 12, 18, 24, 30, and 36. Six can go into 36 six times (6 x 6), 12 can go into 36 three times (12 x 3), and 18 can go

6th Grade Math Ratio Word Problems · The ratio of pigs to cows to sheep on the farm is 2:4:7. There are 65 more sheep than pigs. · Archimedes, Hypatia and Zeno

Using Bar Models · Marilyn saves 30% of the money she earns each month. She earns $350 each month. · At the Natural History Museum, 40% of the visitors are

Check out these free printable Addition and Subtraction Word Problems worksheet to help your child understand the application of addition and subtraction in