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CBSE Class 9 Mathematics · Ch 3: The World of Numbers

CBSE Class 9 Mathematics · Ch 3: The World of Numbers is an online chapter test in the CBSE Class 9 pattern, covering The World of Numbers. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
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Topics in this test

TopicQuestions
The World of Numbers30

Difficulty: 7 medium · 23 hard

The World of Numbers MCQ questions with answers

The first 3 of 30 questions. Unlock the series for the rest, each with a solution.

  1. Q1. The value of $\sqrt{45} - 3\sqrt{20} + 4\sqrt{5}$ is:

    $\sqrt{45} - 3\sqrt{20} + 4\sqrt{5}$ का मान है:

    • A. $\sqrt{5}$
    • B. $7\sqrt{5}$
    • C. $-\sqrt{5}$
    • D. $5\sqrt{5}$
    Solution

    Writing each in terms of $\sqrt{5}$: $\sqrt{45}=3\sqrt{5}$ and $3\sqrt{20}=6\sqrt{5}$, so $3\sqrt{5}-6\sqrt{5}+4\sqrt{5}=\sqrt{5}$.

    प्रत्येक को $\sqrt{5}$ के रूप में लिखने पर: $\sqrt{45}=3\sqrt{5}$ और $3\sqrt{20}=6\sqrt{5}$, अतः $3\sqrt{5}-6\sqrt{5}+4\sqrt{5}=\sqrt{5}$।

  2. Q2. A rational number lying between $\dfrac{1}{3}$ and $\dfrac{1}{2}$ is:

    $\dfrac{1}{3}$ और $\dfrac{1}{2}$ के बीच स्थित एक परिमेय संख्या है:

    • A. $\frac{5}{6}$
    • B. $\frac{1}{6}$
    • C. $\frac{2}{3}$
    • D. $\frac{5}{12}$
    Solution

    The average $\frac{1}{2}\left(\frac{1}{3}+\frac{1}{2}\right)=\frac{1}{2}\times\frac{5}{6}=\frac{5}{12}$ lies between the two numbers.

    औसत $\frac{1}{2}\left(\frac{1}{3}+\frac{1}{2}\right)=\frac{1}{2}\times\frac{5}{6}=\frac{5}{12}$ इन दोनों संख्याओं के बीच स्थित है।

  3. Q3. Match each number in Column I with its nature in Column II: Column I: (P) $\sqrt{49}$, (Q) $\frac{9}{8}$, (R) $\frac{4}{3}$, (S) $\sqrt{15}$ Column II: (1) Natural number, (2) Terminating decimal, (3) Non-terminating recurring decimal, (4) Irrational number

    स्तंभ I की प्रत्येक संख्या का स्तंभ II में दी गई उसकी प्रकृति से मिलान कीजिए: स्तंभ I: (P) $\sqrt{49}$, (Q) $\frac{9}{8}$, (R) $\frac{4}{3}$, (S) $\sqrt{15}$ स्तंभ II: (1) प्राकृत संख्या, (2) सांत दशमलव, (3) असांत आवर्ती दशमलव, (4) अपरिमेय संख्या

    • A. P-1, Q-2, R-4, S-3
    • B. P-2, Q-1, R-3, S-4
    • C. P-1, Q-3, R-2, S-4
    • D. P-1, Q-2, R-3, S-4
    Solution

    $\sqrt{49}=7$ is a natural number; $\frac{9}{8}=1.125$ terminates; $\frac{4}{3}=1.333\ldots$ recurs; and $\sqrt{15}$ is irrational since $15$ is not a perfect square.

    $\sqrt{49}=7$ एक प्राकृत संख्या है; $\frac{9}{8}=1.125$ सांत है; $\frac{4}{3}=1.333\ldots$ आवर्ती है; और $\sqrt{15}$ अपरिमेय है क्योंकि $15$ एक पूर्ण वर्ग नहीं है।

Frequently asked questions

How many questions are in the CBSE Class 9 Mathematics · Ch 3: The World of Numbers?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the CBSE Class 9 Mathematics · Ch 3: The World of Numbers?

No — wrong answers are not penalised in this test.

Which topics does the CBSE Class 9 Mathematics · Ch 3: The World of Numbers cover?

The World of Numbers (30 questions).

Is the CBSE Class 9 Mathematics · Ch 3: The World of Numbers free?

It is part of the CBSE Class 9 Test Series 2027 — Chapter-wise + Full Tests (35 tests, ₹99). You can first try English · Ch 1: The Fun They Had for free.

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