This document provides instruction on ratios, proportions, and solving related math problems. It begins with defining ratios and providing examples of simplifying and writing ratios in simplest form. It then discusses using ratios to solve word problems by calculating total amounts. The document also covers direct and inverse proportions, providing examples of each. It explains how to set up and solve proportion word problems involving variables like time, workers, or other quantities that have a direct or inverse relationship. Several practice questions are provided to allow working through example proportion problems.
Preparing for KS3- Probability, Formulae and Equations, Ratio and Proportion,...torixD
Includes the following subjects: Probability, Formulae and Equations, Ratio and Proportion, Fractions of Quantities and Percentages of Quantities. As well as a short film and some interesting games. This is perfect for consolidating KS2 tricky bits and getting ready for KS3.
Preparing for KS3- Probability, Formulae and Equations, Ratio and Proportion,...torixD
Includes the following subjects: Probability, Formulae and Equations, Ratio and Proportion, Fractions of Quantities and Percentages of Quantities. As well as a short film and some interesting games. This is perfect for consolidating KS2 tricky bits and getting ready for KS3.
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
6. Ratio
A ratio is something we use to compare how much there is of one thing to how much there is of another.
A ratio is written like 2:5 and is spoken as “2 to 5”. This means that for every 2 lots of one thing, there must
be 5 lots of the other.
Simplifying Ratios
To simplify a ratio, divide each part of the ratio by the same number each time, until
they can no longer be divided.
Example: Write the ration 18:60:24 in its simplest form.
We can divide each number by 3 and then by 22 (or just by 6)
This cannot be simplified anymore to make whole numbers, so the ratio is in its simplest form, which 3:10:4
8. PRACTICE QUESTION:
Olive makes her tea by adding 1 part milk to 7 parts hot water (1:7). If Olive uses 30 ml of milk, how much hot
water does she use?
9.
10. You can use ratios to calculate total amounts, using the following steps:
Step 1: Calculate the value of one part (you may be given this in the question).
Step 2: Calculate the total number of parts.
Step 3: Calculate the total amount, by multiplying the value of one part by the total number of parts.
Example: A basic dough is made by mixing 3 parts of Greek yoghurt and 4 parts self-raising flour.
160 g of self-raising flour is used. How much dough is made in total?
4 parts self-raising flour is 160 g, so
1 part=160÷4=40 g
The total number of parts is
3+4=7
So, the total amount of dough made is 7×40g = 280 g
Practice Question:
Adam, Ben and Charlie are three brothers. The brother’s ages added together is 63. The ratio of their ages
is 3:4:2. How old is each brother?
11. For each of these, find the ratio in its simplest form.
1. On a bus there are 24 seats upstairs and 27 seats downstairs. What is the ratio of the number of seats
upstairs to the number of seats downstairs?
2. One morning a postman delivered 42 first-class letters and 48 second-class letters. What is the ratio of the
number of first-class letters to the number of second-class letters?
For each of these, find the quantities.
Water in a swimming pool is treated with two chemicals mixed in the ratio of 5 : 4. The total volume of the
chemicals is 48 litres. How much of each chemical is used?
3. Concrete consists of six parts gravel to one part cement. A builder makes up 140 kg of concrete mixture.
What is the weight of gravel used in this mixture?
4. A drink is made from juice and water in the ratio of 1:5. How many litres of drink can be made from 2
litres of juice?
Try the skill
12. Proportion
Two quantities are proportional if, as one changes, the other changes in a certain way.
We will explain direct proportion and inverse proportion.
3
13.
14. Direct Proportion
Two quantities are directly proportional if as one increases, the other
one increases at the same rate, e.g. as one is doubled, the other is doubled.
Example: Toni uses 150 g of chocolate to make 6 cookies. How much chocolate
would Toni need to make 20 cookies?
Step 1: Divide the amount of chocolate by 6 to find the amount needed for 1 cookie.
150÷6=25 g of chocolate
Step 2: Multiply the amount of chocolate needed for 1 cookie by the 20 cookies
needed.
20×25=500 g of chocolate
15.
16.
17. Inverse Proportion
Two quantities are inversely proportional if as one increases, the other
one decreases at the same rate, e.g. as one is doubled, the other is halved.
Example: It takes 8 workers 25 months to build 10 houses. Assuming they all work
at the same rate, how long would it take 20 workers to build the same number of
houses?
Step 1: Multiply the number of workers by the number of months, to find the time it
would take 1 worker to build 10 houses:
8×25=200 months
Step 2: Divide the time it takes 1 worker to build 10 houses by 20 workers, to get
the answer:
200÷20=10 months
18. Example: speed and travel time
Speed and travel time are Inversely Proportional because the faster we go the shorter
the time.
As speed goes up, travel time goes down
And as speed goes down, travel time goes up
‘y’ is inversely proportional to ‘x’
Is can be written as: y = 1/x
19. Example: 4 people can paint a fence in 3 hours. How long will it take 6 people to paint it?
(Assume everyone works at the same rate)
It is an Inverse Proportion:
•As the number of people goes up, the painting time goes down.
We can use:
t = k/n
Where:
•t = number of hours
•k = constant of proportionality
•n = number of people
"4 people can paint a fence in 3 hours" means that t = 3 when n = 4
3 = k/4
3 × 4 = k × 4 / 4
k = 12
So now we know:
t = 12/n
And when n = 6:
t = 12/6 = 2 hours
So 6 people will take 2 hours to paint the fence.
20. Question 1: It takes 60 minutes for 3 gardeners to cut the grass of a field. Assuming they
all work at the same rate, how long would it 5 gardeners to cut the same grass?
Question 2: It takes 4 builders 6 weeks to build a structure. How long would it have
taken 6 builders to build the same structure?
Question 3: It takes 3 gardeners 45 minutes to cut the grass of a sports field. Assuming
they all work at the same rate, how long would it take:
(a) 5 gardeners to cut the same grass?
(b) 2 gardeners to cut the same grass?
Test your Skill