Each of our Ganita Prakash Class 8 Worksheet and Class 8 Maths Chapter 3 A Story of Numbers Worksheet with Answers Pdf focuses on conceptual clarity.
Class 8 Maths Chapter 3 A Story of Numbers Worksheet with Answers Pdf
Story of Numbers Class 8 Maths Worksheet
Class 8 Maths Chapter 3 Worksheet with Answers – Class 8 A Story of Numbers Worksheet
Tick (✓) for the correct option
Question 1.
Rina counts some apples using stones. If she uses five stones for one-to-one mapping, how many apples are there?
(a) 1
(b) 3
(c) 5
(d) 10
Question 2.
If A, B, C, …, Z are used as tokens for one-to-one mapping, the largest number that can be counted is
(a) 100
(b) 5
(c) 26
(d) any number
Question 3.
If some items are counted using a sequence of written symbols like I, II, III, IV, V. What symbol represents the fourth item?
(a) I
(b) IV
(c) V
(d) III
Question 4.
If some items are counted using sounds where 1 as ‘a’, 2 as ‘b’ 3 as ‘c’, 4 as ‘d’ what sound represents the 8th item?
(a) e
(b) c
(c) h
(d) z
Question 5.
In Gumulgal counting system
(a) ukasar-ukasar means
(b) urapon
(c) ukasar-ukasar-ukasar
(d) ras
Question 6.
A group of people in Papua New Guinea uses body parts to count up to
(a) 27
(b) 100
(c) 26
(d) 50
Question 7.
Which of the following is not a landmark number in Roman numerals?
(a) 100
(b) 40
(c) 10
(d) 50
Question 8.
Which of the following tally marks shows 18?
Question 9.
In the Egyptian number system, the product of
Question 10.
In base 5 number system, represents
(a) 25
(b) 125
(c) 5
(d) 10
Question 11.
In Egyptian number system, first landmark number is
(a) 10
(b) 5
(c) 1
(d) 100
Question 12.
Th product of
Question 13.
Representation of image in the Hindu number system is
(a) 2112
(b) 2212
(c) 2002
(d) 2000
Question 14.
The base of the Mesopotamian number system is
(a) 5
(b) 10
(e) 20
(d) 60
Question 15.
In rod numerals, the Zong symbol of 7 is
Question 16.
In Mayan number system, symbol means
(a) 5
(b) 20
(c) 0
(d) 1
Question 17.
The number represented by the following is
(a) 3600
(b) 1600
(c) 640
(d) 6640
Question 18.
The rod numerals are used in _________ number system.
(a) Egyptian
(b) Chinese
(c) Mayan
(d) Babylonian
Assertion Reason Questions
In questions 1-4, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Question 1.
Assertion (A): The Roman numeral system lacked a straightforward method for multiplication.
Reason (R): It had a concept of zero.
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true but (R) is not the correct explanation of (A).
(c) (A) is true but (R) is false.
(d) (A) is false but (R) is true.
Question 2.
Assertion (A) : The Hindu number system is widely used across the world.
Reason (R) : It has digits 0-9 and uses place value for representation.
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true but (R) is not the correct explanation of (A).
(c) (A) is true but (R) is false.
(d) (A) is false but (R) is true.
Question 3.
Assertion (A): The Babylonian number system is called a sexagesimal system.
Reason (R) : It is based on powers of 60.
(а) Both (A) and (R) are true and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true but (R) is not the correct explanation of (A).
(c) (A) is true but (R) is false.
(d) (A) is false but (R) is true.
Question 4.
Assertion (A): The Egyptian number system had a drawback for computations involving larger numbers.
Reason (R) : The system needed an unending sequence of symbols for representing higher powers of 10 for larger numbers.
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true but (R) is not the correct explanation of (A).
(c) (A) is true but (R) is false.
(d) (A) is false but (R) is true.
Fill in the blanks
1. The Hindu number system is also known as _________ number system.
2. 1, 2, 3, 4, … is a sequence of written _________.
3. The symbols representing numbers in a written number system are called _________.
4. The system of numerals that we use throughout the world today is the _________system.
5. Ishango bone is one of the oldest objects, which feature a series of notches believed to be _________
6. In Gumulgal system, number names are obtained by counting in _________.
7. In Roman number system, symbol ‘M’ is used to represent number _________.
8. The sum of LVIII and XLII is _________.
9. The sum of 
in base 5 system is _______________
10. The product of 
is _______________
11. The product of ____and ____ is _________
12. The _________ symbol represents 10,000 in the Egyptian number system.
13. In Sexagesimal system, each landmark number is ______ times its previous number.
14. The number represented by 
is _______________.
15. _______ in Chinese number system is represented as 
.
16. Symbols in the ____ number systems are placed vertically to represent a number.
17. The system of numerals that we use throughout the world today is the ____ number system.
Write (T) for true or (F) for false for the given statements
1. The Indian number system originated in Arab around 2000 years ago.
2. To represent numbers, we need a standard sequence of objects’or written symbols that have a fixed order.
3. The alphabet of a language has 46 letters. If each letter is used as a counting total, the maximum number that can be counted is 50.
4. The Mayan number system is almost a base 20 system.
5. Due to the use of ’0’ as a number, the Hindu number system enables the writing of all numbers.
6. In Chinese number system, Zongs represent tens, thousands, hundreds of thousands, etc.
7. The Mesopotamian number system cannot be considered as a fully developed place value system.
8. The Mesopotamian sexagesimal system is also known as Babylonian number system.
Very Short Answer Type Questions
Question 1.
Mention three items that can be used to count using one-to-one mapping.
Solution:
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Question 2.
Define a number system.
Solution:
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Question 3.
Write the landmark numbers of the Roman number system.
Solution:
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Question 4.
Write the following using tally marks:
(i) 16
(ii) 28
Solution:
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Question 5.
Write in Hindu numerals:
(i) 3218
(ii) 906
Solution:
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Question 6.
Which number cannot be represented in the Egyptian system?
Solution:
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Question 7.
Add 
and 
Solution:
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Question 8.
Write some landmark numbers of base 7 number system.
Solution:
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Question 9.
Write the landmark numbers of the Mayan number system.
Solution:
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Question 10.
Which features of the Hindu number system make it efficient compared to other number system?
Solution:
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Question 11.
Name some number systems that were used in historical times.
Solution:
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Short Answer Type Questions
Question 1.
Give an example to show how you will use letters of English alphabet as counting tokens using one-to-one mapping.
Solution:
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Question 2.
Suppose you are a herder and want to keep track of your cows before releasing them for grazing. You don’t know number yet. How would you do it using one-to-one mapping?
Solution:
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Question 3.
Create your own number system by using base 4.
Solution:
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Question 4.
Write in Roman numerals:
(a) 725
(b) 6100
(c) 2108
(d) 659
(e) 1999
Solution:
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Question 5.
Simplify:
(i) CCLXVI + DCXXV
(ii) CCCLXV – CCLXII
Solution:
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Question 6.
Ankita and her sister went to a stationery shop to buy a school bag and pencil box. Ankita paid DCCCXV for both the items. If the cost of the pencil box is CLXII, find the cost of the school bag.
Solution:
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Question 7.
Represent the following numbers in the Egyptian number system
(a) 555
(b) 3201
(c) 60809
Solution:
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Question 8.
Add the following:
Solution:
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Question 9.
Find the product using distributive property.
Solution:
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Question 10.
Represent the following in Hindu Number System:
Solution:
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Question 11.
Represent the following in Hindu Number System:
Solution:
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Question 12.
Represent the following numbers in Chinese Number System:
(a) 4862
(b) 634
(c) 2534
Solution:
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Question 13.
Represent the following numbers in Mayan Number System:
(a) 66
(b) 127
(c) 100
Solution:
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Question 14.
Represent the following numbers in Mesopotamian Number System:
(a) 300
(b) 360
(c) 63
Solution:
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Case Based Questions
Numbers are represented by combining these symbols to denote their values — such as 
represents 6.
Question 1.
What is the base of Veenu’s number system?
Solution:
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Question 2.
What is the value of
Solution:
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Question 3.
How would you represent 80 in this number system?
Solution:
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Question 4.
Can we write any number using this system?
Solution:
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Question 5.
Is it easy to do mathematical operations (like addition, multiplication) using this system? Give reasons for your answer. If “No,” then why?
Solution:
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