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Natural Numbers Quiz - CBSE Class 6 Mathematics

Free practice quiz: Natural Numbers (CBSE Class 6 Mathematics). 10 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 10 multiple-choice questions on Natural Numbers, and 10 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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What Natural Numbers Are

  • Natural numbers are the counting numbers we use to count objects, like 7, 8, 11.
  • They have no fractions, decimals or negative signs, and there is no largest natural number.
  • Whole numbers are the natural numbers together with zero.
Successor of n
\[n + 1\]
Predecessor of n (for n greater than the first natural number)
\[n - 1\]

Common mistake: Thinking zero, negative numbers or fractions like a half are natural numbers. Only positive counting numbers are natural numbers.

Sum and Product of First n

  • To add the first n natural numbers, use the shortcut formula instead of adding one by one.
  • To multiply the first n natural numbers, multiply every counting number up to n.
Sum of first n natural numbers
\[1 + 2 + \cdots + n = \frac{n(n+1)}{2}\]
Product of first n natural numbers
\[1 \times 2 \times \cdots \times n\]

Common mistake: Mixing up sum and product, or adding when the question asks you to multiply the numbers.

Even Numbers and Divisibility

  • Even numbers can be written as 2k. Odd numbers can be written as 2k + 1.
  • A number divisible by 2 ends in an even digit.
  • Each divisor has its own last-digit rule. Learn the rules from your textbook.
Even natural number
\[2k\]
Count of even natural numbers from 2 to 2m
\[m\]

Common mistake: Counting the end numbers when the question says between. Between usually leaves out both end numbers, so check carefully.

LCM of Natural Numbers

  • The LCM is the smallest number that is a multiple of all the given numbers.
  • List the multiples of each number, or use prime factorisation, and pick the smallest common one.
LCM using HCF
\[\text{LCM}(a,b) = \frac{a \times b}{\text{HCF}(a,b)}\]

Common mistake: Choosing the HCF or simply multiplying all the numbers, instead of finding the smallest common multiple.

Turning Words into Equations

  • Times as many means multiply. If a friend has x, then k times as many is kx.
  • If subtracting a from a number gives b, add a back to b to find it.
k times as many
\[k \times x = kx\]
Undoing subtraction
\[x - a = b \Rightarrow x = b + a\]

Common mistake: Subtracting again instead of adding back when undoing a subtraction, which gives a wrong, smaller answer.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. Which of the following is a natural number?

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    Answer: C. 3

    Natural numbers are positive integers starting from 1. In this case, 3 is a natural number.

  2. What is the sum of the first five natural numbers?

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    Answer: A. 15

    The first five natural numbers are 1, 2, 3, 4, and 5. Their sum is 1+2+3+4+5 = 15.

  3. What is the product of the first four natural numbers?

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    Answer: B. 24

    The first four natural numbers are 1, 2, 3, and 4. Their product is 1 × 2 × 3 × 4 = 24.

  4. How many even natural numbers exist between 1 and 20?

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    Answer: A. 10

    The even natural numbers between 1 and 20 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20 — a total of 10.

  5. You are thinking of a natural number. If you subtract 5 from it and the result is 15, what is the number?

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    Answer: A. 20

    Let the number be n. Thus, n - 5 = 15. So, n = 15 + 5 = 20.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. What is the smallest natural number?
  2. Which number is NOT a natural number?
  3. A natural number is divisible by 5, what can you say about the last digit?
  4. John has five times as many natural numbers as his friend. If his friend has x natural numbers, how many does John have?
  5. What is the least common multiple (LCM) of the first three natural numbers?

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