Let's suppose that each of the four tractors ploughed $x$ hectares a day.

Therefore in 5 days they ploughed $5 \cdot 4 \cdot x = 20 \cdot x$ hectares, which equals the area of the whole field, 2880 hectares. Hence, each of the four tractors would plough 144 hectares a day.

Solution: Let $x$ be the number of kilograms he sold in the morning. Problem 2 Mary, Peter, and Lucy were picking chestnuts. Solution: Let $x$ be the total number of pages in the book, then she finished $\frac\cdot x$ pages.

Then she has $x-\frac\cdot x=\frac\cdot x$ pages left.

Problem 9The first year, two cows produced 8100 litres of milk.

The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year.

They decided to plant birches and roses at the school's backyard. If each girl planted 3 roses, there are $\frac$ girls in the class. Therefore $\frac 3(24 - x) = 24$ $x 9(24 - x) = 3\cdot 24$ $x 216 - 9x = 72$6 - 72 = 8x$$\frac = x$$x = 18$ So, students planted 18 roses and 24 - x = 24 - 18 = 6 birches.

While each girl planted 3 roses, every three boys planted 1 birch. Problem 14 A car left town A towards town B driving at a speed of V = 32 km/hr. Let us consider only the trip from C to B, and let $x$ be the number of hours the driver spent on this trip.

b) By the time of the meeting at station C the freight train rode for $\frac \frac$ hours, i.e. Therefore it left station B at - (1 \frac) = 10 \frac$ hours, i.e. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned. If she continued at the same speed she would be $ minutes late, i.e. So, she covered the distance between A and B in \frac$ hr, and it was 36 min less than planned. When we equalize the expressions for the scheduled time, we get the equation: $\frac - \frac = 2 \frac \frac$ $\frac = \frac$ $\frac = \frac$ x - 50 = 4x 200$ $x = 250$ So, the distance between cities A and B is 250 km.

the planned time on the road is $\frac - \frac$ hr. Problem 12To deliver an order on time, a company has to make 25 parts a day.

## Comments Mathematics Problem Solving With Solution

## Math Problem Answers - math-only-

Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades with the complete step-by-step solutions.…

## Problem Solving in Mathematics -

What’s a problem anyway? Polya 1945 & 1962 described mathematical problem solving as finding a way around a difficulty and finding a solution to a problem that is unknown.…

## How to Study Maths 7 Tips for Problem Solving - ExamTime

The problem many students have is that they don’t know how to study maths to get good results. Maths is one of those subjects which you can easily spend hours studying, but end up none the wiser. However much you have studied, if you can not solve the problem on day of the test, you are lost.…

## Problem Solving Booklet -

Problem Solving Booklet. Mathematical Mind Reader 36 Meet The Joneses 37 Multiplying This Way and That 38 Passcode Combinations 39 Triathlete Pete 40 NUMBER GEOMETRY & MEASURES ALGEBRA PROBABILITY& STATISTICS Page No. 27 - No More, No less 41 Bunch of Roses 42 Carlos’ Coloured Crate 43 Fascinating Factors 44 Football or Rugby? 45 Garden Greenhouse 46 Granny’s…

## Math Word Problems and Solutions - Distance, Speed, Time

Math Word Problems and Solutions - Distance, Speed, Time. Problem 1 A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?…

## Mathematical Problems suitable for Higher Tier GCSE.

GCSE Problem Solving booklet CM 12/08/15 Version 1 Further Mathematics Support Programme 20 Mathematical Problems suitable for Higher Tier GCSE Students A collection of 20 mathematical problems to encourage the development of problem-solving skills at KS4. Each includes suggested questions to ask students to help them to think about the problem and a full worked solution. The problem…

## MEI Resources Problem Solving - examples and solutions

Problem Solving - examples and solutions MEI Problem Solving Guide. This guide has been produced by MEI for all teachers of GCSE and A level Mathematics to support them with the problem solving content of these qualifications.…

## Math Problem Solving - Free Worksheets

Featuring original free math problem solving worksheets for teachers and parents to copy for their kids. Use these free math worksheets for teaching, reinforcement, and review. These math word problems are most appropriate for grades four and five, but many are designed to be challenging and informative to older and more advanced students as well.…

## Mathematics Problem Solving Strategies - Gary Hall

Mathematics Problem Solving Strategies Anyone who has taught maths for any length of time will know how difficult it can be to teach pupils to solve maths problems out of context. Present pupils with a familiar setting or a sum that they've tackled before then they're usually fine, but turn it into an unfamiliar problem then it's a different matter.…

## Problem Solving PixiMaths

The resources on this page will hopefully help you teach AO2 and AO3 of the new GCSE specification - problem solving and reasoning. This brief lesson is designed to lead students into thinking about how to solve mathematical problems.…