KEY STAGE 3: MATHS IS EASY – RATIO, PROPORTION AND RATES OF CHANGE
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KEY STAGE 3: MATHS IS EASY – RATIO, PROPORTION AND RATES OF CHANGE
Key Stage Three Maths
Key Stage 3 is the school years between the ages of 11 and 14. These years include Year 7, 8 and 9 – the beginner years of secondary school. These years are fundamental in preparing students for their GCSEs (which will begin in Year 10).
With the National Curriculum continuously being revised and updated, we wanted to create revision guides that would demonstrate the skill level expected from children of the ages of 11 to 14. Our revision guides include all of the information required for the KS3 Maths subject. With the help of our guide, we are sure your child’s knowledge will grow in leaps and bounds.
This unique KS3 maths guide and testing resource contains a whole range of practice questions for your child to complete, in order to ensure their knowledge is bettered in this topic.
This revision booklet focuses specifically on ratio, proportion and rates of change. This guide is the ultimate guide for any child who struggles with any concept in relation to ratio, proportion or rates of change.
Key Stage Three Revision Resources
As mentioned before, we have created several maths resources, each of which has a specificity. That means, your child can learn a topic of Maths in as much detail as possible, before moving on to the next category.
We have broken down our revision guides into the following guides:
- KS3 Maths (Numbers and Calculations)
- KS3 Maths (Probability and Statistics)
- KS3 Maths (Geometry and Measures)
- KS3 Maths (Working with Algebra)
- KS3 Maths (Practice Papers – Foundation)
- KS3 Maths (Practice Papers – Higher)
See, how the guides have been broken down into very specific topics. We believe your child will make the most out of their learning this way – by engaging in a topic to the fullest, before moving on to something else!
WHAT'S INCLUDED IN THE GUIDE?
Enough about our other revision guides, let’s focus on the contents of this guide.
So, what does the KS3 Ratio, Proportion and Rates of Change guide contain?
Below we have outlined how each chapter is broken down, just to give you a bit more of an insight into how your child will use this guide:
| Understanding Ratios | Ratios of Shapes | Simplifying Ratios |
| Ratios and Scaling | Proportional Division | Direct Proportion |
| Indirect (Inverse) Proportion | Percentage Increase | Percentage Decrease |
| Adding Interest | Change in Value | Metric and Imperial Units |
| Speed, Distance and Time | Density, Mass and Volume | Maps and Scaling |
A revision guide that is fun, a revision guide that is interactive, a revision guide that boosts confidence!
This guide not only contains practice questions and answers to a whole range of topics in relation to ratio, proportion and rates of change, but it also offers guidance and support for parents. It also provides a glossary of all the key terms that every child should know for the classroom, and it also provides detailed examples, which highlights how to use each area of maths.
In our Key Stage 3 – Ratio, Proportion and Rates of Change guide,students will improve their knowledge in the following areas:
- Understanding Ratios and Proportions;
- Simplifying Ratios;
- Understanding proportions;
- Understanding percentage increase and decrease;
- Reading maps to the correct scale, and so much more!
SAMPLE KS3 MATHS QUESTIONS
Question 1
Complete the wordsearch to find all of the key words for ratios.
Question 2
How many small balloons are there compared to large balloons?
Question 3
William has made a fruit punch. He uses three ingredients: apple juice, orange juice and cranberry juice.
He needs to make a total of 750 ml of fruit punch.
If his recipe for his fruit juice is in the ratio of 11 : 8 : 6, work out how much of each ingredient he will need to make enough fruit punch.
Question 4
Work out the missing gaps in the table.
| ORIGINAL PRICE | DISCOUNT | NEW PRICE |
| £400 | 15% off | |
| £1,500 | £450 | |
| £98 | 5% off | |
| £120 | 11% off |
Question 5
Using the following columns, place the words under the correct column. The first one has been done for you
SAMPLE ANSWERS
ANSWER TO QUESTION 1
ANSWER TO QUESTION 2
9 : 6 (3 : 2 is also acceptable)
ANSWER TO QUESTION 3
330 ml apple 240 ml orange 180 ml cranberry
• 11 + 8 + 6 = 25
• 750 ÷ 25 = 30
• 30 x 11 = 330 apple juice
• 30 x 8 = 240 orange juice
• 30 x 6 = 180 cranberry juice
ANSWER TO QUESTION 4
| ORIGINAL PRICE | DISCOUNT | NEW PRICE |
| £400 | 15% off | £340 |
| £1,500 | 70% off | £450 |
| £98 | 5% off | £93.10 |
| £120 | 11% off | £106.80 |
ANSWER TO QUESTION 5
| Metric Measurements | Imperial Measurements |
| Kilograms, Kilometres | Pounds |
| Litres , Millilitres | Inches |
| Metres, Millimetres | Gallons |
| Grams | Stones |
| Centimetres | Tonnes |
MAIN PRODUCT FEATURES
- A resource tailored to ratio, proportion and rates of change questions– this revision resource focuses specifically on any question relating to ratio, proportion and rates of change.
- A breakdown of the National Curriculum – this guide is useful for parents who want to learn more about what their child will be learning during Key Stage 3, and how they will be assessed.
- A glossary – of all the key terms that your child will need to learn in order to do well in any Maths assessment.
- Detailed examples– every chapter comes with detailed pages of that topic, how to use it, sample questions, and teaches your child what they need to know regarding that particular topic. After reading these revision pages, your child can then practise questions relating to that topic!
- Answers to every question – we have provided all of the answers, so you and your child can work through the booklet together and see which questions they are getting right and which ones they need to work on.
- Interactive– this revision guide continuously gets your child’s mind working in different ways to understand geometry and measurements. There is lots of space for children to write their answers and fill in their booklet!
FREE BONUS
When you order you will receive the following free bonus;
Plus 30-days FREE ACCESS to the Educational online testing suite. Thereafter, just £5.95 per month. No minimum term. You may cancel anytime. Cancel before the 30-days are up and you will not be charged. Online suite access on PC, MAC and mobile devices.
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Includes:
✓ Understanding the national curriculum in an easy to absorb way;
✓ Learn all of the mathematical terminology you’ll need;
✓ Proven revision techniques and strategies to help you learn and pass KS3 maths with ease; Broken down into clear, easy to read chapters;
✓ Broken down into clear, easy to read chapters;
✓ Plenty of sample questions for your child to work through and easily track progress;
✓ Bonus - guidance for parents.
Plus 30-days FREE ACCESS to the Educational online testing suite. Thereafter, just £5.95 +vat per month. No minimum term. You may cancel anytime. Cancel before the 30-days are up and you will not be charged.?
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Includes:
✓ KS3 Maths is Easy: Working with Algebra
✓ KS3 Maths is Easy: Geometry & Measures
✓ KS3 Maths is Easy: Probability & Statistics
✓ KS3 Maths is Easy: Numbers & Calculations
✓ KS3 Maths is Easy: Ratio, Proportion & Rates of Change
✓ KS3 Maths is Easy: Practice Papers Sets 1 & 2 (Foundation)
✓ KS3 Maths is Easy: Practice Papers Sets 1 & 2 (Higher)
Plus 30-days FREE ACCESS to the Educational online testing suite. Thereafter, just £5.95 +vat per month. No minimum term. You may cancel anytime. Cancel before the 30-days are up and you will not be charged.?
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