About Number System — Class 6 ICSE

Explore natural numbers, whole numbers, and place value concepts up to large numbers. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 1). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Number System

• Types of Numbers
• Place Value in the Indian System
• International Number System
• Face Value, Place Value, and Expanded Form
• Comparing and Ordering Numbers

Interactive lesson · about 20 minutes · checkpoint question after every unit

Number System — solved examples for Class 6 ICSE

Practice questions on Number System

1. Q1.easy

   Which of the following is NOT a whole number?

   1. A)0
   2. B)5
   3. C)−3
   4. D)12
   Show answer

   Answer: −3

   Hint: Whole numbers include 0 and all natural numbers. They are never negative.

2. Q2.easy

   What is the place value of 7 in the number 4,73,562?

   1. A)7,000
   2. B)70,000
   3. C)7
   4. D)7,00,000
   Show answer

   Answer: 70,000

   Hint: Identify the place (ones, tens, hundreds, thousands, ten-thousands, lakhs) where 7 sits.

3. Q3.easy

   Write the number 35,672 in expanded form.

   1. A)30,000 + 5,000 + 600 + 70 + 2
   2. B)3,000 + 5,000 + 600 + 70 + 2
   3. C)30,000 + 500 + 600 + 70 + 2
   4. D)30,000 + 5,000 + 60 + 70 + 2
   Show answer

   Answer: 30,000 + 5,000 + 600 + 70 + 2

   Hint: Multiply each digit by the value of its place (ones, tens, hundreds, thousands, ten-thousands).

4. Q4.medium

   Find the smallest 6-digit number using the digits 4, 0, 8, 2, 0, 6 (each used exactly once).

   1. A)200,468
   2. B)200,486
   3. C)204,068
   4. D)200,648
   Show answer

   Answer: 200,468

   Hint: The leading digit cannot be 0. Place the smallest non-zero digit first, then arrange the rest in ascending order.

5. Q5.medium

   How many lakhs make 1 crore?

   1. A)10
   2. B)100
   3. C)1,000
   4. D)50
   Show answer

   Answer: 100

   Hint: 1 crore = 1,00,00,000. 1 lakh = 1,00,000. Divide crore by lakh.

6. Q6.medium

   The population of a city is 23,45,678. Express this in the International system using commas.

   1. A)2,345,678
   2. B)23,456,78
   3. C)234,567,8
   4. D)2,34,56,78
   Show answer

   Answer: 2,345,678

   Hint: In the International system, commas are placed after every 3 digits from the right.

7. Q7.hard

   How many 6-digit numbers can be formed using digits 1, 2, 3, 4, 5, 6 if each digit is used exactly once?

   1. A)120
   2. B)360
   3. C)720
   4. D)600
   Show answer

   Answer: 720

   Hint: This is a permutation problem. The first place has 6 choices, second has 5, and so on.

8. Q8.hard

   The sum of the successor and predecessor of 10,00,000 is:

   1. A)20,00,000
   2. B)19,99,999
   3. C)20,00,001
   4. D)19,99,998
   Show answer

   Answer: 20,00,000

   Hint: Successor = number + 1, Predecessor = number − 1. Add them.

9. Q9.hard

   The difference between the place values of 6 in the number 6,16,__(fill: 6)06 = 6,16,606 is:

   1. A)5,99,394
   2. B)5,99,400
   3. C)6,00,000
   4. D)5,93,994
   Show answer

   Answer: 5,99,400

   Hint: In 6,16,606: find the place value of each 6 and compute the differences.

These are 9 of the 60 questions available for Number System. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.