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Class 8 Maths rational numbers test

The test contains twenty questions on rational numbers, the opening chapter of the Class 8 textbook that forms the foundation for every algebra chapter to come. The challenge is not with the calculations themselves, but with identifying which property is being tested and which operations it affects. Each question describes its reasoning, and the final page lists which section should be reviewed.

  • 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

  • Properties of rational numbers - closure, commutativity, associativity
  • The role of zero and one
  • Additive inverse of a rational number
  • Multiplicative inverse (reciprocal) of a rational number
  • Distributivity of multiplication over addition
  • Representing rational numbers on the number line
  • Finding rational numbers between two given rationals
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

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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

  • Properties of rational numbers6
  • Additive inverse2
  • Multiplicative inverse3
  • Distributivity2
  • Number line2
  • Rational numbers between two rationals3
  • The role of zero and one2
  1. Question 1. Which set of numbers is always closed under division (excluding division by zero)?

    • Whole numbers
    • Rational numbers
    • Integers
    • Natural numbers
  2. Question 2. Which of these correctly shows the commutative property of addition for rational numbers?

    • 2/3 - 1/4 = 1/4 - 2/3
    • 2/3 + 0 = 0
    • 2/3 x 1/4 = 1/4 - 2/3
    • 2/3 + 1/4 = 1/4 + 2/3
  3. Question 3. Is subtraction commutative for rational numbers?

    • Only for whole numbers
    • Yes, always
    • No
    • Only for positive numbers
Show 5 more
  1. Question 4. Which property does (2/3 + 1/5) + 3/4 = 2/3 + (1/5 + 3/4) show?

    • Distributivity
    • Associativity
    • Closure
    • Commutativity
  2. Question 5. What is the standard form of the rational number 8/-12?

    • 2/-3
    • 8/-12
    • -8/12
    • -2/3
  3. Question 6. Which of these is equivalent to -5/8?

    • 10/16
    • 5/-16
    • -5/-8
    • -10/16
  4. Question 7. What is the additive inverse of 5/7?

    • 7/5
    • 5/7
    • -7/5
    • -5/7
  5. Question 8. What is the additive inverse of -3/8?

    • 3/8
    • -8/3
    • -3/8
    • 8/3

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 does the Class 8 book start with rational numbers?

All subsequent chapters depend on this material. Linear equations, algebraic identities and exponents all presuppose that learners are confident with addition, multiplication and comparison of fractions bearing negative signs. Although resembling a review of Class 7 content, the properties introduced here—closure, commutativity, associativity, and the two inverses—constitute new terminology that remains unexplained in later topics.

What is the most common mistake in this chapter?

Students frequently conflate the additive inverse with the multiplicative inverse. The first changes the sign, whilst the second inverts the fraction. During timed tests, children tend to revert to whichever operation they performed most recently. Stating aloud which operation is required before manipulating the number prevents this confusion.

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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