Worksheet: A Story of Numbers | Mathematics Class 8- New NCERT (Ganita Prakash) PDF Download

1. MCQs

Q1: In the Roman numeral system, what number does MCMXLIV represent?
a) 1944
b) 1444
c) 1949
d) 1494

Q2: If the base of a number system is 7, what is the 4th landmark number after 1?
a) 28
b) 49
c) 343
d) 7
Answer: b) 49

Q3: Symbolis representation for which number?

a) 60
b) 360
c) 3600
d) any multiple of 60

Q4: In a base-8 system, what is the value of the number 345 (base 8) in base-10?
a) 229
b) 228
c) 230
d) 231

Q5: In a base-5 system, the third landmark number after 1 is:
a) 15
b) 25
c) 20
d) 30

2. True / False

Q1: The Bakhshali manuscript contains the earliest known example of the number zero written as a dot. 

Q2: Roman numerals can easily be used for multiplication and division. 

Q3:The Gumulgal people counted numbers in groups of 2. 

Q4: The Lebombo bone is believed to be younger than the Ishango bone. 

Q5: In the Egyptian number system, each landmark number is 10 times the previous one. 

3. Fill in the blanks

Q1: The ancient counting device made of a frame with rods and beads is called an __________.

Q2: In the Roman numeral system, C represents the number __________.

Q3: The Roman numeral for 1000 is represented as __________.

Q4: The Roman numeral for 50 is represented as __________.

Q5: A number system in which each landmark number is obtained by multiplying the previous landmark number by a fixed number n is called a __________ system.

4. Answer the following Questions

Q1. Represent the following numbers in the Roman system.

(i) 1444

(ii) 1867

(iii) 2539

(iv) 948

Q2. Consider the extension of the Gumulgal number system beyond 6 in the same way of counting by 2s. Come up with ways of performing the different arithmetic operations (+, –, ×, ÷) for numbers occurring in this system, without using Hindu numerals. Use this to evaluate the following:

(i) (ukasar-ukasar-ukasar-urapon) + (ukasar-urapon)

(ii) (ukasar-ukasar-ukasar-ukasar-urapon) − (ukasar-ukasar-urapon)

(iii) (ukasar-ukasar-ukasar) × (ukasar-urapon)

(iv) (ukasar-ukasar-ukasar-ukasar-ukasar-ukasar) ÷ (ukasar-ukasar)

Q3: Represent the following numbers in the Egyptian system:

(i) 54321

(ii) 8888

​(iii) 26005

Q4: Express the number 87 in this base-5 symbolic system.

Q5: Add : XLVIII + XXXVI

Q6: Write Mesopotamian symbol representation for each number.

(i) 58

(ii) 214

(iii) 305

Q7: Convert the decimal number 150 to its base-7 representation. Show your working and write the answer using digits from 0 to 6.

You can access the solutions to this unit test here.

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