9th Class Maths Chapter 1 Online Test: 25 MCQs with Answers

This 9th class maths chapter 1 online test covers Chapter 1 of the Class 9 Mathematics course, Real Numbers. It has 25 multiple-choice questions, shown one at a time, and it marks itself the moment you finish. There is no timer and no sign-up. When you press finish you get your score, and every question is shown again with your answer, the correct option and a short explanation of why that option is right. An Urdu medium version of the same test is given further down this page.

What Chapter 1 Covers

The 25 questions are spread across the whole unit rather than one exercise, so the test is a fair check of whether you are ready for a class test or the annual paper:

Rational and irrational numbers — spotting that √7, π and e are irrational, and why √n is irrational whenever n is not a perfect square.
Properties of real numbers — the reflexive, symmetric and transitive properties, and the multiplicative identity.
Radicals and surds — the index and the radicand in ⁿ√a, conjugate surds, and simplifying sums such as √75 + √27.
Rationalising a denominator — clearing a surd from the bottom of a fraction by multiplying by the conjugate.
Laws of exponents — evaluating (64)^−4/3 and (81/16)^−3/4, and solving equations such as 2^x × 8^x = 64.
Decimals — terminating and recurring decimals, and writing a recurring decimal such as 0.444… as a fraction p/q.
Everyday applications — simple profit and loss, and converting 98.6 °F to the Celsius scale.

Revise These Before You Start

Most marks in this unit are lost on the same few points. Read through these once before attempting the test:

The product of two conjugate surds is always rational: (3 + √5)(3 − √5) = 9 − 5 = 4.
A non-zero rational number multiplied by an irrational number is always irrational.
In ⁿ√a the number n is the index and a is the radicand — the two are easy to swap under pressure.
a × 1 = 1 × a = a is the multiplicative identity. a = a is reflexive, a = b ⇒ b = a is symmetric, and a > b with b > c ⇒ a > c is transitive.
For a negative fractional exponent, invert the base first, then take the root, then apply the power.
Simplify surds before adding them: √75 + √27 = 5√3 + 3√3 = 8√3.

How the Test Works

25 questions, one at a time, with Next and Previous buttons.
No timer, so you can work a calculation out on paper before answering.
Automatic marking the moment you finish.
Answer review with the correct option and an explanation for every question.
Retake as many times as you like, and your score is not stored anywhere.

Start the Chapter 1 Online Test

Chapter 1 rewards careful simplification more than speed, so simplify every surd and every exponent fully before you look at the four options. Keep a pen and rough paper beside you: the numerical questions are quick, but they are much easier to get right written down than in your head. Aim for 20 out of 25 or better before you move on to the next unit.

Chapter 1 Online Test — Urdu Medium

Urdu medium students can attempt the same Chapter 1 test with every question, option and explanation written in Urdu. It behaves exactly like the English test above: 25 questions one at a time, no timer, and a full answer review at the end.

Mistakes Students Make in This Unit

When you look through your answer review, check whether any of your wrong answers came from these:

Calling π or e rational because the book prints a decimal value for them.
Swapping the index and the radicand when reading ⁿ√a.
Forgetting to invert the base when the exponent is negative.
Assuming every root is a surd — √9 is not, because it simplifies to 3.
Adding surds without simplifying, so √75 + √27 is wrongly written as √102.

What to Do After the Test

A score on its own teaches you very little. Go through the answer review properly and write down the number of every question you got wrong, along with the topic it came from. If two or three of them come from the same section of the unit, that section is what you revise next — not the whole chapter again. Then retake the test a day or two later rather than immediately, because answering correctly from memory is not the same as understanding it. Once you are consistently scoring above 20, move on and come back to this test in your final week of revision.

Frequently Asked Questions

Is √7 rational or irrational?

Irrational. Seven is not a perfect square, so its square root cannot be written as a fraction of two integers and its decimal never terminates or repeats. The same reasoning applies to √n for any n that is not a perfect square.

What is a conjugate surd?

A conjugate surd is the same expression with the middle sign reversed, so the conjugate of 3 + √5 is 3 − √5. Multiplying a surd by its conjugate always gives a rational number, which is exactly why conjugates are used to rationalise denominators.

How do I turn a recurring decimal into a fraction?

Let x equal the decimal, multiply by a power of ten that shifts one full repeating block, then subtract the original. For 0.444…, 10x − x = 4, so 9x = 4 and x = 4/9.

Is this test free?

Yes. There is no sign-up, no limit on retakes and nothing is locked. Your score is not saved or shared.

Related Class 9 Maths Resources

Carry on with the Chapter 1 test paper for written practice, the Chapter 2 online test (Logarithms). For full-length practice, download the 25 Class 9 Maths guess papers, each a complete 75-mark bilingual paper. You can also browse all Class 9 Maths test papers and every Class 9 Maths online test, or open the Class 9 Mathematics section for everything in one place.

Studying the other subjects too? There are self-marking chapter tests for Class 9 Physics and Class 9 Biology, and you can browse the whole Class 9 section by subject.