Comparing Quantities Class 8 Maths Worksheet with Quiz and Activities
Work with comparing quantities: simplify ratios, convert to percents, find tax and discount and share an amount in a ratio. On WitKnowLearn you get the Comparing Quantities Class 8 online quiz, online activities and interactive games, a compare lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Comparing Quantities Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Comparing Quantities Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Comparing Quantities: Ratio, Percent and Price Comparison
A short read for Class 8 before you play. These notes cover Comparing Quantities.
⚖ Ratio
A ratio compares two quantities of the same kind, such as 2 : 3. Equivalent ratios come from multiplying or dividing both terms by the same number, so 2 : 3 equals 4 : 6. To share an amount in a ratio, add the terms to get parts, find one part and multiply.
💯 Percent
A percent is a ratio out of 100. Fractions and decimals convert to percent by multiplying by 100, so 3/4 is 75 percent and 0.4 is 40 percent. To find a percent of a number, multiply by the percent and divide by 100.
🧾 Tax and price comparison
Tax is a percent of the price and the bill is the price plus the tax. A discount is a percent taken off the marked price. To compare packs of different sizes, work out the price of one unit and choose the lower one.
Comparing Quantities Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Comparing Quantities for Class 8 maths. It covers ratios, equivalent ratios, sharing in a ratio, fractions, decimals and percents, tax on bills, discount and unit price.
The activities are pitched at Class 8 level. Sort ratios from percents, find tax and sale prices and share an amount in a ratio in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Quantity | Method | Example |
|---|---|---|
| Ratio share | Divide by parts | 60 in 2 : 3 |
| Percent of a number | Multiply by percent / 100 | 25% of 80 = 20 |
| Bill | Price + tax | 500 + 50 = 550 |
How to use this page
- Flip the six cards and try the Compare 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 share an amount in a ratio 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
One part is 60 / 5 = 12, so the shares are 24 and 36.
50 / 200 × 100 = 25 percent.
This Comparing Quantities 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 Comparing Quantities
This guide is for Class 8 students, parents and teachers. It covers Comparing Quantities for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Comparing Quantities
Comparing quantities helps us decide which is more, by how much and how to share fairly. This topic shows how to use ratios and percents on shopping bills, discounts and sharing problems.
What is there in this chapter
- Ratios and equivalent ratios
- Sharing in a ratio
- Fractions, decimals and percents
- Tax and discount
- Unit price comparison
Learning objectives
- Simplify and compare ratios.
- Share an amount in a ratio.
- Convert between fractions, decimals and percents.
- Find tax, discount and percent change.
- Reason with assertions and case studies.
Learning outcomes
- I can compare quantities using ratios and percents.
- I can find tax and sale prices.
- I can compare prices fairly.
Comparing Quantities 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 |
| Compare Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that shares an amount in a ratio |
| 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 |
| Percent | out of 100 |
| Bill | price plus tax |
| Sale price | price minus discount |
| Unit price | price per unit |
Types of questions you may see
- Ratio and sharing
- Assertion and reason on percent change
- Case study on a shopping bill
- Tax and discount problems
Solved examples
125 percent of x is 150, so x = 120.
7 parts = 84, so one part is 12 and the larger is 48.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Reversing a ratio | 3 : 5 is not 5 : 3 |
| Adding tax twice or forgetting it | Bill is price plus tax |
| Using the new value as the base for percent change | Use the old value |
Comparing Quantities in daily life
Comparing quantities is used in shopping, sharing money, cooking, taxes, sales and comparing prices of different pack sizes.
Tips for parents and teachers
- Convert to a common form first.
- Check that shares add up to the total.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
Comparing Quantities Class 8 FAQs
What is a ratio?
A ratio compares two quantities of the same kind, such as 2 : 3.
How do I share an amount in a ratio?
Add the ratio terms to get parts, divide the amount by the parts and multiply by each term.
How do I write a fraction as a percent?
Multiply the fraction by 100. For example 3/4 × 100 = 75 percent.
How do I find percent change?
Divide the change by the old value and multiply by 100.
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 Compare Lab, do two virtual experiments, share an amount in a ratio in the parts and table views,, and fill in a 16-question practice sheet with a Show answers button.
Download
