9th Class Maths Chapter 3 Online Test: 25 MCQs with Answers

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This 9th class maths chapter 3 online test covers Chapter 3 of the Class 9 Mathematics course, Sets and Functions. 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 3 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:

  • Set notation — tabular form, descriptive form and set-builder form, including sets such as {1, 1/3, 1/5, 1/7, …}.
  • Power sets — why a set with m elements has 2m subsets, and what P(A) is when A is empty.
  • Operations on sets — union, intersection, difference and complement, with Venn diagrams.
  • De Morgan laws — (A ∩ B)′ and (A ∪ B)′.
  • Counting formulas — n(A ∪ B) = n(A) + n(B) − n(A ∩ B), and word problems about students playing cricket and hockey.
  • Cartesian products and relations — ordered pairs, A × B, and the domain of a relation.
  • Functions — evaluating f(x), solving f(x) = k for x, and recognising linear and quadratic functions.

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:

  • If n(S) = m then the power set has 2m elements. The power set of the empty set is {∅}, which has one element, not none.
  • n(A ∪ B) = n(A) + n(B) − n(A ∩ B). Rearrange it to find the intersection when the union is given.
  • De Morgan: (A ∩ B)′ = A′ ∪ B′ and (A ∪ B)′ = A′ ∩ B′. The operation flips when you take the complement.
  • If A has p elements and B has q elements, then A × B has p × q ordered pairs.
  • The set {0} is not empty — it contains one element, the number zero. The empty set is { } or ∅.
  • To evaluate f(a + 1), substitute the whole bracket for x and expand carefully.

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 3 Online Test

Draw a Venn diagram for anything involving union, intersection or a word problem — it turns most of these questions into counting. 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.

/25

Class 9 Mathematics Chapter 3 Online Test — Sets and Functions (English Medium)

1 / 25

The set builder form of the set {1, 1/3, 1/5, 1/7, ...} is:

2 / 25

If A = { }, then P(A) is:

3 / 25

If U = {1, 2, 3, 4, 5}, A = {1, 2, 3} and B = {3, 4, 5}, then U − (A ∩ B) is:

4 / 25

If A and B are overlapping sets, then n(A − B) is equal to:

5 / 25

If A ⊆ B and B − A ≠ φ, then n(B − A) is equal to:

6 / 25

If n(A ∪ B) = 50, n(A) = 30 and n(B) = 35, then n(A ∩ B) = :

7 / 25

If A = {1, 2, 3, 4} and B = {x, y, z}, then cartesian product of A and B contains exactly ______ elements.

8 / 25

If f(x) = x² − 3x + 2, then the value of f(a + 1) is equal to:

9 / 25

Given that f(x) = 3x + 1, if f(x) = 28, then the value of x is:

10 / 25

Let A = {1, 2, 3} and B = {a, b} two non-empty sets and f : A → B be a function defined as f = {(1, a), (2, b), (3, b)}, then which of the following statement is true?

11 / 25

If S is a finite set with n(S) = m, then the number of elements of the power set of S is:

12 / 25

The set {0} is:

13 / 25

According to De Morgan's Laws, (A ∩ B)' is equal to:

14 / 25

For any set A, the complement A' is equal to:

15 / 25

The set of all real numbers R is equal to:

16 / 25

In set-builder notation the symbol ∧ means:

17 / 25

For two finite sets A and B, n(A ∪ B) is equal to:

18 / 25

If f(x) = 2x − 1, then f(−3) is:

19 / 25

Let A = {1, 2, 3} and r be the relation in A such that x r y iff x < y. Then Dom r is:

20 / 25

The function {(x, y) | y = ax² + bx + c} is called:

21 / 25

According to De Morgan's Laws, (A ∪ B)' is equal to:

22 / 25

The number of elements of the power set of the set {9, 11} is:

23 / 25

For two non-empty sets A and B, the Cartesian product A × B is:

24 / 25

If k(x) = 7x − 5 and k(x) = 100, then the value of x is:

25 / 25

In a class of 55 students, 34 like to play cricket and 30 like to play hockey, and each student likes to play at least one of the two games. The number of students who like to play both games is:

Your score is

0%

Chapter 3 Online Test — Urdu Medium

Urdu medium students can attempt the same Chapter 3 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.

/25

Class 9 Mathematics Chapter 3 Online Test — Sets and Functions (Urdu Medium)

1 / 25

سیٹ {1, 1/3, 1/5, 1/7, ...} کی ترقیم سیٹ ساز صورت ہے:

2 / 25

اگر A = { } ہو تو P(A) برابر ہے:

3 / 25

اگر U = {1, 2, 3, 4, 5}، A = {1, 2, 3} اور B = {3, 4, 5} ہو تو U − (A ∩ B) برابر ہے:

4 / 25

اگر A اور B متراکب سیٹ ہوں تو n(A − B) برابر ہے:

5 / 25

اگر A ⊆ B اور B − A ≠ φ ہو تو n(B − A) برابر ہے:

6 / 25

اگر n(A ∪ B) = 50، n(A) = 30 اور n(B) = 35 ہو تو n(A ∩ B) برابر ہے:

7 / 25

اگر A = {1, 2, 3, 4} اور B = {x, y, z} ہو تو سیٹ A اور B کے کارتیمی حاصل ضرب میں کل ________ ارکان ہیں۔

8 / 25

اگر f(x) = x² − 3x + 2 ہو تو f(a + 1) کی قیمت ہے:

9 / 25

فرض کریں f(x) = 3x + 1 ہو، اگر f(x) = 28 ہو تو x کی قیمت ہے:

10 / 25

فرض کریں A = {1, 2, 3} اور B = {a, b} دو غیر خالی سیٹ ہوں اور f : A → B ایک تفاعل ہو جس کو اس طرح بیان کیا گیا ہو: f = {(1, a), (2, b), (3, b)}، تو درج ذیل میں سے کون سا انتخاب درست ہے؟

11 / 25

اگر S ایک متناہی سیٹ ہو جس میں n(S) = m ہو تو S کے پاور سیٹ کے ارکان کی تعداد ہے:

12 / 25

سیٹ {0} ہے:

13 / 25

ڈی مورگن کے قوانین کے مطابق (A ∩ B)' برابر ہے:

14 / 25

کسی بھی سیٹ A کے لیے کمپلیمنٹ A' برابر ہے:

15 / 25

تمام حقیقی اعداد کا سیٹ R برابر ہے:

16 / 25

ترقیم سیٹ ساز میں علامت ∧ کا مطلب ہے:

17 / 25

دو متناہی سیٹوں A اور B کے لیے n(A ∪ B) برابر ہے:

18 / 25

اگر f(x) = 2x − 1 ہو تو f(−3) ہے:

19 / 25

فرض کریں A = {1, 2, 3} اور r ایک ایسا ربط ہو کہ x r y صرف اور صرف جب x < y ہو۔ تو Dom r ہے:

20 / 25

تفاعل {(x, y) | y = ax² + bx + c} کہلاتا ہے:

21 / 25

ڈی مورگن کے قوانین کے مطابق (A ∪ B)' برابر ہے:

22 / 25

سیٹ {9, 11} کے پاور سیٹ کے ارکان کی تعداد ہے:

23 / 25

دو غیر خالی سیٹوں A اور B کے لیے کارتیمی حاصل ضرب A × B ہے:

24 / 25

اگر k(x) = 7x − 5 اور k(x) = 100 ہو تو x کی قیمت ہے:

25 / 25

55 طلبہ کی کلاس میں 34 کرکٹ کھیلنا پسند کرتے ہیں اور 30 ہاکی کھیلنا پسند کرتے ہیں، نیز ہر طالب علم دو میں سے کم از کم ایک کھیل کھیلنا پسند کرتا ہے۔ دونوں کھیل کھیلنا پسند کرنے والے طلبہ کی تعداد ہے:

Your score is

0%

Mistakes Students Make in This Unit

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

  • Treating {0} as the empty set.
  • Saying the power set of the empty set has no elements, when it has exactly one.
  • Forgetting to subtract the intersection in the union formula, which double counts the overlap.
  • Applying De Morgan without flipping union to intersection.
  • Substituting only the a in f(a + 1) and ignoring the + 1.

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

How many elements does a power set have?

Two to the power of the number of elements in the original set. A set with 2 elements, such as {9, 11}, has a power set with 22 = 4 elements, counting the empty set and the set itself.

What do De Morgan laws actually say?

That the complement of an intersection is the union of the complements, and the complement of a union is the intersection of the complements. In short, take the complement of each set and swap the symbol.

Is the empty set the same as {0}?

No. The empty set contains nothing at all and is written { } or ∅. The set {0} contains one thing, the number zero, so it has one element.

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 3 test paper for written practice, the Chapter 2 online test (Logarithms), the Chapter 4 online test (Factorization). 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.

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