Proportional Reasoning 1 Class 8 Maths Worksheet with Quiz and Activities
In this chapter: ratios, simplest form, proportion and scaling. Simplify ratios, test proportions and scale images, recipes and walls. On WitKnowLearn you get the Proportional Reasoning 1 Class 8 online quiz, online activities and interactive games, a ratio lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Proportional Reasoning 1 Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Proportional Reasoning 1 Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Proportional Reasoning 1: Proportional Reasoning 1
A short read for Class 8 before you play. These notes cover Proportional Reasoning 1: ratios, simplest form, proportion and scaling.
📏 What a ratio says
A ratio a : b compares two quantities: for every a units of one there are b units of the other. A photo 60 cm wide and 40 cm tall has the ratio 60 : 40, which reduces to 3 : 2 when both terms are divided by the HCF, 20.
⚖ Proportion
Two ratios are in proportion when they have the same simplest form, written a : b :: c : d. So 3 : 4 and 72 : 96 are proportional. Multiplying both terms by the same factor gives a proportional ratio of any size.
🍋 Solving with ratios
To keep a recipe tasting the same, change every ingredient by the same factor. To share a quantity in a ratio, find the value of one part. Adding the same number to both terms, however, changes the ratio.
Proportional Reasoning 1 Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Proportional Reasoning 1: ratios, simplest form, proportion and scaling for Class 8 maths. It covers ratios, terms, simplest form, proportional ratios, scaling, sharing in a ratio and ratio word problems.
The activities are pitched at Class 8 level. Simplify ratios, find equal ratios, share quantities, scale recipes and enlarge a 3 : 2 image in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Ratio | Simplest form | Proportional to 3 : 2? |
|---|---|---|
| 60 : 40 | 3 : 2 | Yes |
| 90 : 60 | 3 : 2 | Yes |
| 40 : 20 | 2 : 1 | No |
| 60 : 60 | 1 : 1 | No |
How to use this page
- Flip the six cards and try the Ratio Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and enlarge a 3 : 2 image in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
5 parts make 60, so one part is 12. The shares are 24 and 36.
Dividing 72 : 96 by 24 gives 3 : 4, so yes.
This Proportional Reasoning 1 worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Proportional Reasoning 1
This guide is for Class 8 students, parents and teachers. It covers Proportional Reasoning 1: ratios, simplest form, proportion and scaling for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Proportional Reasoning 1
Ratios compare quantities, and proportional ratios let you scale a picture, a recipe or a plan without changing its shape or taste.
What is there in this chapter
- Similar change and ratios
- Simplest form
- Proportional ratios
- Problem solving
- Sharing in a ratio
Learning objectives
- Write ratios in simplest form.
- Test if ratios are proportional.
- Solve problems by scaling.
- Reason with assertions and case studies.
Learning outcomes
- I can simplify a ratio.
- I can find equal ratios.
- I can solve ratio word problems.
Proportional Reasoning 1 Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Ratio Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that enlarges a 3 : 2 image by five factors |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Ratio | compares two quantities |
| Simplest form | divide by HCF |
| Proportional | same simplest form |
| Scaling | multiply both terms |
| Adding | changes the ratio |
Types of questions you may see
- Simplest form
- Find the missing term
- Sharing in a ratio
- Assertion and reason on proportion
Solved examples
5 parts make 40 L, so one part is 8 L and blue is 3 × 8 = 24 L.
The factor is 4, so x = 12.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Adding the same number to both terms | Multiply instead |
| Not reducing before comparing | Reduce to simplest form |
| Reversing the order of terms | 3 : 2 is not 2 : 3 |
Proportional Reasoning 1 in daily life
Ratios are used in recipes, maps, photo sizes, paint mixing, school staffing and comparing prices.
Tips for parents and teachers
- Find the scale factor first.
- Check by reducing both ratios.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- 📉Class 8 Maths Worksheet: Direct and Inverse Proportions
- ％Class 8 Maths Worksheet: Percentage
- ⚖Class 8 Maths Worksheet: Comparing Quantities
- ➗Class 8 Maths Worksheet: Rational Numbers
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Proportional Reasoning 1 Class 8 FAQs
What is a ratio?
A ratio compares two quantities, written a : b.
How do I simplify a ratio?
Divide both terms by their highest common factor.
How do I know if two ratios are proportional?
Reduce both to simplest form. If they are the same, the ratios are proportional.
Can I add the same number to both terms?
No. That changes the ratio. Multiply or divide both terms instead.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Ratio Lab, do two virtual experiments, enlarge a 3 : 2 image by five factors and compare the images and ratios views,, and fill in a 16-question practice sheet with a Show answers button.
Download
