A Story of Numbers Class 8 Worksheet with Answers Maths Chapter 3 - #NCSOLVE 📚

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Class 8 Maths Chapter 3 A Story of Numbers Worksheet with Answers Pdf

A Story of Numbers Class 8 Maths Worksheet

Class 8 Maths Chapter 3 Worksheet with Answers – Class 8 A Story of Numbers Worksheet

Multiple Choice Questions.

Question 1.
Which of the following might be a reason why base-10 system has been used in the Hindu- Arabic number system?
(a) The number of vowels in Sanskrit
(b) Humans have 10 fingers.
(c) The structure of Roman numerals
(d) It was easier to write in stones
Answer:
(b) Humans have 10 fingers.

Question 2.
Which symbol represents 100 in Roman numerals?
(a) X
(b) L
(c) C
(d) D
Answer:
(c) C

Question 3.
The Gumulgal people counted mainly in groups of
(a) 5
(b) 10
(c) 2
(d) 20
Answer:
(c) 2

Question 4.
What important mathematical object was discovere
(a) Algebraic formula
(b) Zero as a dot
(c) Roman numeral
(d) Decimal fractions
Answer:
(b) Zero as a dot

Question 5.
Why was the invention of zero as a digit revolutionary?
(a) It increased Roman numeral efficiency.
(b) It enabled place value systems to represent all the numbers.
(c) It replaced the need for counting.
(d) It removed the use of symbols.
Answer:
(b) It enabled place value systems to represent all the numbers.

Question 6.
Which of these systems had no concept of place value?
(a) Egyptian
(b) Hindu
(c) Mesopotamian
(d) Chinese rod numerals
Answer:
(a) Egyptian

Question 7.
What was the role of the placeholder in Mesopotamian numerals?
(a) It acted as a decimal point.
(b) It marked blanks in place value.
(c) It helped to write fractions.
(d) R replaced the use of rods.
Answer:
(b) It marked blanks in place value.

Question 8.
Which number system used both vertical and horizontal rods to distinguish place value?
(a) Hindu
(b) Mayan
(c) Egyptian
(d) Chinese rod numerals.
Answer:
(d) Chinese rod numerals.

Question 9.
What does the Roman numeral MCMXL stand for?
(a) 1990
(b) 1940
(c) 1490
(d) 1949
Answer:
(b) 1940

Question 10.
What does the Gumulgal’s number name ‘ukasar-ukasar-ukasar’ stand for?
(a) 6
(b) 3
(c) 9
(d) 5
Answer:
(a) 6

Question 11.
Which of the following is not a symbol for the landmark numbers of the Egyptian system?

Answer:
(d)

Question 12.
The Babylonian number system had used the symbol < to represent
(a) 1
(b) 10
(c) 5
(d) 20
Answer:
(b) 10

Question 13.
The Zongs are used to represent
(a) tens
(b) units
(c) thousands
(d) hundreds of thousands
Answer:
(b) units

Question 14.
The bar (-) in the Mayan system represents
(a) 0
(b) 5
(c) 1
(d) 10
Answer:
(b) 5

Question 15.
The number representing 324 in the Egyptian system is

Answer:
(a)

Question 16.
The roman numeral for 3862 is
(a) MMMDCCLXII
(b) MMDCCCXLII
(c) MMMDCCCLXII
(d) MMDCCCXLII
Answer:
(c) MMMDCCCLXII

Question 17.
The symbol in the Egyptian number system represents

(a) 10⁶
(b) 10⁵
(c) 10³
(d) 10⁷
Answer:
(d) 10⁷

Question 18.
The product image is equal to


Answer:
(a)

Question 19.
In Mesopotamian number system, 630 is written as

Answer:
(d)

Assertion Reason Type Questions.

1. Assertion (A) The Roman numeral for 69 is XLXIX.
Reason (R) In a Roman number system, symbol can be repeated only three times.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(d) Assertion is false but Reason is true.

2. Assertion (A) The numeral for is 840.
Reason (R) In Mayan number system, 1 is represented as ‘-‘
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(c) Assertion is true but Reason is false.

3. Assertion (A) In Gumulgal number system, 5 is represented by ukasar-ukasar-urapon.
Reason (R) In Bakairi number system, 5 is represented by ahage ahage ahage.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Fill in the blanks

1. The ancient humans used marks on the bones to count objects.
Answer:
tally

2. The Mayan civilisation used a symbol resembling a to represent zero.
Answer:
seashell

3. In a base-3 system, the place values increase by powers of _______.
Answer:
3

4. In Gumulgal number system, 3 is written as _______.
Answer:
ukasar-urapon

5. The Mesopotamian system became a place value system after the inclusion of a special symbol acting as a _______.

Answer:
placeholder

6. In the Mesopotamian system, 1 is represented by the symbol _______.
Answer:

7. The vertical rods used to represent units and hundreds, etc, in the Chinese rod numerals, are called as _______.
Answer:
zongs

8. In the Egyptian system, the symbol was used to represent the number _______

Answer:
10⁴

9. The Hindu number system is a base – _______ system
Answer:
10

10. The Roman numeral system is an example of _______ number system.
Answer:
non-positional

11. The Roman numerals for 1000 is _______.
Answer:
M

12. The Egyptian numeral for the number 4 is written as _______.
Answer:
||||

13. The Hindu-Arabic numeral for CCIX is _______.
Answer:
209

14. The Indian numeral system uses digits from to _______.
Answer:
0, 9

15. The symbols occurring in a written number system are called _______.
Answer:
numerals

16. In Gumulgal number system, 4 is written as _______.
Answer:
ukasar-ukasar

17. In Egyptian system, 103 is written as _______.
Answer:

18. In Mesopotamian number system, 3600 is represented as _______.
Answer:

19. In Mayan number system, the symbol for 5 is _______.
Answer:

State whether the statements given below are true or false.

1. The base of the Egyption number system was 10.
Answer:
True

2. The Roman system introduced the concept of zero.
Answer:
False

3. The Gumulgal, Bakairi and Bushmen number systems had striking similarities despite of being geographically far apart.
Answer:
True

4. The Mesopotamian system at one point used both 1 and 60 as landmark numbers.
Answer:
True

5. The Hindu-Arabic number system is a base-5 system.
Answer:
False

6. Multiplication of any landmark number by the number n givesU-he-Ttext landmark number in a base-n system.
Answer:
True

7. The number 100 in Roman numerals is D.
Answer:
False

8. Roman number system had 8 landmark numbers.
Answer:
False

9. Mayans used place value but did not follow strict powers of 20 in every position.
Answer:
True

10. The abacus used in medieval Europe was based on the decimal (base-10) system.
Answer:
True

11. In the Hindu number system, the digit zero has both the symbolic and arithmetic role.
Answer:
True

12. The concept of grouping by fives is seen in both Roman and Gumulgal number systems.
Answer:
False

13. Using sticks or stones for counting in early times, is an example of a one-to-one mapping.
Answer:
True

14. The Mayans did not give a symbol for zero.
Answer:
False

15. It denotes 2000 in the mesopotamian system..

Answer:
False

16. The value of XC + XL is CLX.
Answer:
False

17. The Hindu-Arabic numeral for XCIV is 94.
Answer:
True

18. In Bakairi number system, 2 is represented as ahage.
Answer:
True

19. The Hindu-Arabic numeral for image is 2102.

Answer:
False

Match the Following

Question 1.
Match ancient number system given in column A with their key feature’s, base or limitations given in column B.

Answer:
(a) → (vi)
(b) → (i)
(c) → (v)
(d) → (iii)
(e) → (ii)
(f) → (iv)

Complete the following table.

Question 1.

Answer:
(i) 10
(ii) L
(iii) C
(iv) 10
(v) 103
(vi) 2
(vii) urapon
(viii) Almost 20
(ix) 5

Very Short Answer Type Questions.

Question 1.
What Roman numeral represent the number 90?
Answer:
XC

Question 2.
In Egyptian numeral, which symbol stands for 101?
Answer:

Question 3.
Write the Roman numeral for 944.
Answer:
CMXLIV

Question 4.
Which three symbols were mainly used in the Mayan system?
Answer:

Question 5.
Which two symbols did the Mesopotamians use to build numbers?
Answer:

Question 6.
Why is the number XL used instead of XXXX for 40 in Roman numerals?
Answer:
Because Roman numerals use subtraction rule to avoid repetition.

Question 7.
Define landmark numbers.
Answer:
Do it yourself.

Short Answer Type Questions.

Question 1.
Write the Roman numeral of 234.
Answer:
CCXXXIV

Question 2.
Write the Hindu-Arabic numeral of LXXVII.
Answer:
77

Question 3.
What is the value of XCIX + XIX in Hindu-Arabic numeral?
Answer:
118

Question 4.
Represent 3240 in Egyptian number system.
Answer:

Question 5.
Convert Pi in Hindu-Arabic numeral.
Answer:
1110

Question 6.
What is the product of in Egyptian number system?
Answer:

Question 7.
Convert the number 3610 in Mesopotamian number system.
Answer:

Question 8.
Convert the following Roman numerals into Hindu-Arabic numerals.
(a) CDXLIV
(b) MCMXC
(c) LXXXVII
Answer:
(a) 444
(b) 1990
(c) 87

Question 9.
Convert the following Hindu numerals into Roman numerals.
(a) 249
(b) 1654
(c) 999
Answer:
(a) CCXLIX
(b) MDCLIV
(c) CMXCIX

Question 10.
Add the following Roman numerals without converting them to Hindu numerals.
(a) XXV + XL
(b) C+LXXX
(c) CD + CXL
(d) DCC + CCXL
(e) LXXXIV+XVI
Answer:
(a) LXV
(b) CLXXX
(c) DXL
(d) CMXL
(e) C

Question 11.
Use the extended Gumulgal number system beyond 6 in the same way of counting in groups of 2 to find the following without converting them to Hindu numerals.
(a) (ukasar-ukasar-ukasar) + (ukasar-ukasar-urapon)
(b) (ukasar-ukasar-ukasar-ukasar-urapon) – (ukasar)
(c) (ukasar-ukasar) x (urapon)
(d) (ukasar-ukasar-ukasar-ukasar) + (ukasar)
Answer:
(a) ukasar-ukasar-ukasar-ukasar- ukasar-urapon
(b) ukasar-ukasar-ukasar-urapon
(c) ukasar-ukasar
(d) ukasar-ukasar

Question 12.
Convert the following numerals into Egyptian symbols.
(a) 291
(b) 1045
(c) 7202
Answer:

Question 13.
Convert the following numerals into Mesopotamian system.
(a) 75
(b) 132
(c) 3672
Answer:

Question 14.
Add the following Egyptian numeral.

Answer:

Long Answer Type Questions.

Question 1.
Explain the difference between Roman numerals and the Hindu number system with respect to
(a) symbols used
(b) place value
(c) ease of arithmetic operations
(d) use of zero
Try to give examples and conclude which system is more efficient.
Answer:
Do it Yourself

Question 2.
(a) Describe how the original Gumulgal number system works.
(b) Create your own base-2 system using the words urapon and ukasar for 2 and 1, respectively. Give some examples.
Answer:
Do it Yourself

Question 3.
(a) Define landmark number and given example of atleast 3 system’
(b) Why were these important for early civilizations?
Answer:
Do it Yourself

Question 4.
Add the following Egyptian numerals.

Answer:

Question 5.
Find the following products.

Answer:

Case-based Questions.

Question 1.
(A) A school has a big clock tower in which all the numbers written in Roman numerals. The teacher asks some questions from the students regarding the clock.
(a) What will be the Roman numeral written at 12 o’ clock?
(b) What will be the sum of Roman numeral written at 9 o’ clock and 11 o’ clock?
(c) If the minute hand points at 12 and the hour hand points at 9 then what does the clock show? Write the hour in Roman numerals.
Answer:
(i) XII
(ii) XX
(iii) 9 : 00, IX hours

(B) In ancient Egypt, a royal scribe was tasked with recording the daily grain collection. His one day’s collection was

and it needed to be multiplied by five for weekly accounting.
Now, based on the above information, answer the following questions.
(a) What was his one day’s collection in Hindu numerals?
(b) What would be his total weekly collection in Hindu numerals?
(c) Find his weekly collection in Egyptian system.
Answer:
(a) 135
(b) 675

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