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Class 8 Maths comparing quantities test

The test contains twenty questions focussing on comparing quantities, applying percentages learned in Class 7 to practical situations: bills, discounts and banking interest. The challenge typically lies not in performing percentage calculations but in identifying the correct base from which to calculate the percentage. Each question provides method explanation, with the final screen directing students to revisit relevant sections.

  • 20 questions, marked instantly
  • Every answer comes with the reasoning
  • Ends by naming what to revise
  • Nothing stored, no account, no email

What this test covers

  • Recalling percentages
  • Finding increase or decrease as a percentage
  • Profit, loss and discount
  • Sales tax and value added tax
  • Simple interest, revisited
  • Compound interest, deriving and using the formula
  • Applications of compound interest, such as population growth
Ready when you are

20 questions, marked as you go

Drawn fresh from a bank of 20, so another go is mostly different questions. Every one explains its method after you answer, and the last screen names the chapters to revise.

Questions

20

Minutes

~15

Marking

Instant

Sign-up

None

How many questions?
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How to read the result

Every question in this test

The whole paper, grouped by chapter, so you can see the level before anyone sits it. Three are shown below and the rest open up.

20 questions · 7 chapters

8 shown here - the rest are in the test and the PDF

  • Simple interest3
  • Compound interest5
  • Applications of compound interest2
  • Recalling percentages2
  • Finding increase or decrease as a percentage2
  • Profit, loss and discount4
  • Sales tax and value added tax2
  1. Question 1. What is the formula for simple interest on principal P, rate R% per year, for time T years?

    • P x (1 + R/100)^T
    • (P x R) / T
    • (P x R x T) / 100
    • P x R x T
  2. Question 2. What is the simple interest on Rs 5,000 at 6% per annum for 3 years?

    • Rs 1,000
    • Rs 900
    • Rs 600
    • Rs 750
  3. Question 3. Rs 6,000 amounts to Rs 6,900 in 3 years at simple interest. What is the rate of interest per annum?

    • 5%
    • 6%
    • 8%
    • 4%
Show 5 more
  1. Question 4. How does compound interest differ from simple interest?

    • Interest is calculated on the original principal plus previously earned interest
    • It uses a lower rate
    • It only applies to loans, not deposits
    • It is always smaller than simple interest
  2. Question 5. What is the formula for the amount A after compound interest, with principal P, rate R% per year, for T years?

    • A = P + (P x R x T)/100
    • A = P (1 + RT/100)
    • A = P x R x T
    • A = P (1 + R/100)^T
  3. Question 6. What is the amount on Rs 10,000 at 10% per annum compounded annually for 2 years?

    • Rs 12,100
    • Rs 12,000
    • Rs 11,000
    • Rs 12,200
  4. Question 7. What is the compound interest (not the amount) on Rs 8,000 at 5% per annum for 2 years?

    • Rs 800
    • Rs 850
    • Rs 400
    • Rs 820
  5. Question 8. For the same principal, rate and time, how does compound interest compare with simple interest (for periods longer than one year)?

    • They are always equal
    • It depends only on the principal
    • Compound interest is always more
    • Compound interest is always less

Want all 20 on paper?

The PDF has every question, with the answer key on its own last page so you can hold it back and mark the work yourself.

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Class 8 Maths test - common questions

Why is comparing quantities useful beyond the exam?

This covers the mathematics underlying virtually every bill a household receives - discounts on tags, taxation entries, bank statements where compound interest quietly surpasses simple interest. Examining a genuine receipt together often conveys the base-shifts-every-time concept more rapidly than additional worksheets would achieve.

What is the most common mistake in this chapter?

A common error occurs when percentages are calculated against the wrong base - discount computed from cost price rather than marked price, or profit calculated from selling price rather than cost price. Solving this means asking 'a percentage of what number' before beginning any calculation, every time.

Is this Class 8 maths online test free?

Yes, completely without cost and no registration step. No email required, no account setup, no credentials to enter. The browser hosts the test and stores no data. Your score displays on the page and removes itself when the tab closes, honoring precisely what our privacy policy says rather than asking you to assume anything.

Is there a timer?

It is optional and switched off initially. Your child's first test ought to reveal what they grasp, not how fast they rush when watched. A timer on an unfamiliar paper tests anxiety as much as ability. When timed mode is on, it allows roughly one minute per question, which mirrors exam conditions at this level.

Can my child take it more than once?

Students may attempt the test as often as they wish. Questions are selected from a question bank with the order shuffled and the answer choices shuffled each time, so a child cannot pass a second attempt simply by remembering that the answer used to be the third option. A retest taken a week later teaches far more than one attempted the same night.

How is this different from your Class 8 maths worksheets?

These tests mark themselves, unlike worksheets which you mark after drilling one topic deeply on paper. The two tools meet different purposes - tests reveal where gaps exist, and worksheets address those specific gaps. Families typically gain more from ten minutes of this testing than from an hour spent practising material that was never the root issue.

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