Numeration Reading Answers

The Numeration reading passage is featured in Cambridge IELTS 6, Test 2, Reading Passage 3 (an official book of practice tests for the IELTS). It finds how humans developed the concept of numbers and how early societies used different methods to count and represent quantities.

The passage discusses early counting systems, number words, gestures, physical counting aids, and the development of numbers as abstract ideas. The questions test your ability to locate specific information, understand details, compare statements with the passage, and identify whether information is true, false, or not given.

In the sections below, you’ll find all Numeration Reading Answers with location, explanations and practical approaches to help you work through each question type.

Numeration Reading Passage 

The IELTS exam tests four language skills through Listening, Reading, Writing, and Speaking. In the IELTS Reading test, you will read passages on different subjects and answer questions that test your understanding of ideas, details, and information.

One such passage is Numeration, which looks at how the idea of numbers developed and how early humans learned to use different systems for counting. It covers early number systems, the use of gestures and physical objects, and the shift from connecting numbers with objects to understanding them as abstract ideas.

As you read, notice how the passage moves from early forms of counting to the development of number sense. Examples from different cultures and languages are also used to explain how numeration developed over time.

Read the Numeration passage below carefully before attempting the questions:

Numeration

Paragraph A One of the first great intellectual feats of a young child is learning how to talk, closely followed by learning how to count. From earliest childhood we are so bound up with our system of numeration that it is a feat of imagination to consider the problems faced by early humans who had not yet developed this facility. Careful consideration of our system of numeration leads to the conviction that, rather than being a facility that comes naturally to a person, it is one of the great and remarkable achievements of the human race.

Paragraph B It is impossible to learn the sequence of events that led to our developing the concept of number. Even the earliest of tribes had a system of numeration that, if not advanced, was sufficient for the tasks that they had to perform. Our ancestors had little use for actual numbers; instead their considerations would have been more of the kind Is this enough? rather than How many? when they were engaged in food gathering, for example. However, when early humans first began to reflect on the nature of things around them, they discovered that they needed an idea of number simply to keep their thoughts in order. As they began to settle, grow plants and herd animals, the need for a sophisticated number system became paramount. It will never be known how and when this numeration ability developed, but it is certain that numeration was well developed by the time humans had formed even semipermanent settlements.

Paragraph C Evidence of early stages of arithmetic and numeration can be readily found. The indigenous peoples of Tasmania were only able to count one, two, many; those of South Africa counted one, two, two and one, two twos, two twos and one, and so on. But in real situations the number and words are often accompanied by gestures to help resolve any confusion. For example, when using the one, two, many type of system, the word many would mean, Look at my hands and see how many fingers I am showing you. This basic approach is limited in the range of numbers that it can express, but this range will generally suffice when dealing with the simpler aspects of human existence.

Paragraph D The lack of ability of some cultures to deal with large numbers is not really surprising. European languages, when traced back to their earlier version, are very poor in number words and expressions. The ancient Gothic word for ten, tachund, is used to express the number 100 as tachund tachund. By the seventh century, the word teon had become interchangeable with the tachund or hund of the Anglo-Saxon language, and so 100 was denoted as hund teonlig, or ten times ten. The average person in the seventh century in Europe was not as familiar with numbers as we are today. In fact, to qualify as a witness in a court of law a man had to be able to count to nine!

Paragraph E Perhaps the most fundamental step in developing a sense of number is not the ability to count, but rather to see that a number is really an abstract idea instead of a simple attachment to a group of particular objects. It must have been within the grasp of the earliest humans to conceive that four birds are distinct from two birds; however, it is not an elementary step to associate the number 4, as connected with four birds, to the number 4, as connected with four rocks. Associating a number as one of the qualities of a specific object is a great hindrance to the development of a true number sense. When the number 4 can be registered in the mind as a specific word, independent of the object being referenced, the individual is ready to take the first step toward the development of a notational system for numbers and, from there, to arithmetic.

Paragraph F Traces of the very first stages in the development of numeration can be seen in several living languages today. The numeration system of the Tsimshian language in British Columbia contains seven distinct sets of words for numbers according to the class of the item being counted: for counting flat objects and animals, for round objects and time, for people, for long objects and trees, for canoes, for measures, and for counting when no particular object is being numerated. It seems that the last is a later development while the first six groups show the relics of an older system. This diversity of number names can also be found in some widely used languages such as Japanese.

Paragraph G Intermixed with the development of a number sense is the development of an ability to count. Counting is not directly related to the formation of a number concept because it is possible to count by matching the items being counted against a group of pebbles, grains of corn, or the counter's fingers. These aids would have been indispensable to very early people who would have found the process impossible without some form of mechanical aid. Such aids, while different, are still used even by the most educated in today's society due to their convenience.

Paragraph H All counting ultimately involves reference to something other than the things being counted. At first it may have been grains or pebbles but now it is a memorised sequence of words that happen to be the names of the numbers.

Now that you have read the passage, you can move on to the Numeration Reading Answers and check how each question is answered from the relevant part of the text.

Numeration Reading Answers

The Numeration Reading Answers section includes Sentence Completion and True, False, Not Given questions. The passage focuses on how number systems developed, how early people counted, and how different cultures used numbers.

The practice test below uses fresh questions based on the passage, so you can check how well you understand the information and apply it to new wording. The explanations also point out useful clues and common traps where needed.

Sentence Completion Questions 1–5

Complete each sentence with the correct ending, A–G.

A was necessary in order to fulfil a civic role.
B was necessary when people began farming.
C was necessary for the development of arithmetic.
D persists in all societies.
E was used when the range of number words was restricted.
F can be traced back to early European languages.
G was a characteristic of early numeration systems.

1. A developed system of numbering

 

Answer: B

Reference: Paragraph B

“As they began to settle, grow plants and herd animals, the need for a sophisticated number system became paramount.”

Explanation: The passage explains that early humans needed a more advanced number system when they began settling, growing plants, and herding animals. These activities made counting and keeping track of quantities more important. So, B is the best match.

2. An additional hand signal

Answer: E

Reference: Paragraph C

“The word many would mean, ‘Look at my hands and see how many fingers I am showing you.’”

Explanation: Early systems such as “one, two, many” could not give exact numbers beyond a limited range. People therefore used hand gestures to make the meaning clearer. The hand signal was useful when the available number words were not enough, so E is correct.

3. In seventh-century Europe, the ability to count to a certain number

Answer: A

Reference: Paragraph D

“To qualify as a witness in a court of law a man had to be able to count to nine!”

Explanation: Here, the ability to count is linked to becoming a witness in a court of law. This was a civic requirement, so the ability to count to nine was necessary for fulfilling a civic role. Therefore, A completes the sentence correctly.

4. Thinking about numbers as concepts separate from physical objects

Answer: C

Reference: Paragraph E

“The individual is ready to take the first step toward the development of a notational system for numbers and, from there, to arithmetic.”

Explanation: The passage says that understanding numbers independently of objects was an important step in developing a true number sense. Once numbers could be treated as abstract ideas, people could move towards numerical notation and arithmetic. This makes C the correct answer.

5. Expressing number differently according to class of item

Answer: G

Reference: Paragraph F

“Seven distinct sets of words for numbers according to the class of the item being counted…”

Explanation: The Tsimshian language uses different sets of number words depending on what is being counted. The passage gives examples such as people, animals, trees, canoes, and measures. This type of classification is presented as a feature of an older numeration system, so G is correct.

True, False, Not Given Questions 6–14

Do the following statements agree with the information given in the passage?

TRUE — if the statement agrees with the information
FALSE — if the statement contradicts the information
NOT GIVEN — if the passage does not provide this information

6. For the earliest tribes, the concept of sufficiency was more important than the concept of quantity.

Answer: TRUE

Reference: Paragraph B

“Their considerations would have been more of the kind Is this enough? rather than How many?”

Explanation: Is this enough? refers to whether there was sufficient food or material, while How many? focuses on the exact quantity. The passage clearly says early tribes were more concerned with the first idea. So, the statement agrees with the passage and is TRUE.

7. Indigenous Tasmanians used only four terms to indicate numbers of objects.

Answer: FALSE

Reference: Paragraph C

“The indigenous peoples of Tasmania were only able to count one, two, many…”

Explanation: The passage gives three terms: one, two, and many. The statement says there were four terms, which does not match the information given. Since the passage gives a different number rather than leaving the information unclear, the answer is FALSE.

Note: The word “only” can make this easy to miss. When a statement contains a specific number, check that number carefully against the passage before choosing an answer.

8. Some people with simple number systems use body language to prevent misunderstanding of expressions of number.

Answer: TRUE

Reference: Paragraph C

“The number and words are often accompanied by gestures to help resolve any confusion.”

Explanation: The phrase body language refers to the gestures mentioned in the passage. The example of showing fingers helps explain what a person means by many. Since these gestures were used to make numerical expressions clearer, the statement is TRUE.

9. All cultures have been able to express large numbers clearly.

Answer: FALSE

Reference: Paragraph D

“The lack of ability of some cultures to deal with large numbers is not really surprising.”

Explanation: The statement says all cultures could express large numbers clearly, but the passage says that some cultures had difficulty dealing with large numbers. These two ideas contradict each other, so the correct answer is FALSE.

10. The word ‘thousand’ has Anglo-Saxon origins.

Answer: NOT GIVEN

Reference: Paragraph D

Explanation: The passage talks about the Gothic word tachund and the Anglo-Saxon terms teon and hund. However, it never discusses the origin of the specific word “thousand.” Because the passage neither confirms nor contradicts this claim, the answer is NOT GIVEN.

Note: You may notice the reference to Anglo-Saxon language and immediately think TRUE. But the question is about the origin of the word “thousand,” which the passage does not mention. Related information is not enough for a TRUE answer.

11. In general, people in seventh-century Europe had poor counting ability.

Answer: TRUE

Reference: Paragraph D

“The average person in the seventh century in Europe was not as familiar with numbers as we are today.”

Explanation: The passage says that people in seventh-century Europe were less familiar with numbers than people today. The example of needing to count to nine to become a court witness supports this idea. Therefore, the statement matches the passage and is TRUE.

12. In the Tsimshian language, the number for long objects and canoes is expressed with the same word.

Answer: FALSE

Reference: Paragraph F

“For long objects and trees, for canoes…”

Explanation: The passage places long objects and trees in one category and canoes in another. The statement combines these two separate categories and says they use the same word. Since the passage clearly distinguishes them, the answer is FALSE.

13. The Tsimshian language contains both older and newer systems of counting.

Answer: TRUE

Reference: Paragraph F

“It seems that the last is a later development while the first six groups show the relics of an older system.”

Explanation: The passage describes the system used when no particular object is being counted as a later development. The other six groups are described as remains of an older system. So, the language provides evidence of both older and newer forms of counting, making TRUE the correct answer.

14. Early peoples found it easier to count by using their fingers rather than a group of pebbles.

Answer: NOT GIVEN

Reference: Paragraph G

Explanation: The passage mentions both fingers and pebbles as counting aids and explains that such aids were useful to early people. However, it never says that fingers were easier to use than pebbles. Since there is no comparison between the two methods, the answer is NOT GIVEN.

Note: Both fingers and pebbles appear in the passage, so TRUE may seem tempting. But the question asks which method was easier, and the passage never makes that comparison. That missing information makes NOT GIVEN the correct choice.

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How to Approach Numeration IELTS Reading Questions?

Numeration includes Sentence Completion and True, False, Not Given questions. The passage covers different counting systems, cultures, and stages in the development of numbers, so some details can look similar at first.

To answer accurately, focus on what each example means, rather than matching words alone. Also check small changes in the statements, especially when deciding between TRUE, FALSE, and NOT GIVEN. 

The following approaches will help you handle the different question types more confidently:

Find the Right Paragraph

For Sentence Completion questions, first identify the main idea in the sentence. Then scan the passage for the paragraph that discusses it.

For example, the need for a more developed number system is connected to early humans settling, growing plants, and herding animals.

What to do:

• Read the incomplete sentence first.
• Identify the key idea.
• Locate the relevant paragraph.
• Check which option completes the sentence logically.

Keep the Examples Separate

Numeration mentions different cultures and languages, so it is easy to mix up their counting systems.

Example	Key detail
Tasmania	One, two, many
South Africa	Different combinations of one and two
Tsimshian	Number words based on the class of the item

Keep these examples separate while reading. If a question mentions a specific culture, go back and check exactly what the passage says about it.

Follow the Number Concept

The passage does more than describe counting. It explains how humans gradually began to understand numbers as abstract ideas.

Keep this progression in mind:

• Counting objects → Understanding quantity → Number as an idea → Notation → Arithmetic

This can help when a question asks about the connection between number concepts and the development of arithmetic.

Check TRUE, FALSE, and NOT GIVEN

Do not decide based only on a familiar word or phrase.

• TRUE: The passage agrees with the statement.
• FALSE: The passage contradicts it.
• NOT GIVEN: The passage does not provide the information.

For example, the passage mentions fingers and pebbles as counting aids, but it does not say which one was easier to use. That comparison is not given, so the answer is NOT GIVEN.

Watch the Small Details

Some statements change just one detail from the passage. Words such as all, only, same, and easier need particular attention.

For instance, the passage says that some cultures had difficulty dealing with large numbers. If a statement changes this to all cultures, its meaning is no longer the same.

Match the Meaning

The questions may paraphrase information from the passage.

Question wording	Passage idea
Sufficient amount	“Is this enough?”
Exact quantity	“How many?”
Counting aids	Pebbles, grains, or fingers
Different categories	Class of the item being counted
Less familiar with numbers	Not as familiar with numbers

Focus on the idea being expressed, rather than waiting for the exact words to appear.

Also Read:
IELTS Syllabus	IELTS Test Format	IELTS Exam Pattern

Common Mistakes in Numeration Reading Answers 

The Numeration passage includes several examples of counting systems, cultures, and ideas about how numbers developed. With so many details, it can be easy to mix up similar information or choose an answer based on one familiar word.

To avoid these mistakes, read each statement carefully and check what the passage actually says before choosing your answer. 

To help you, here are some common mistakes you may make while answering the Numeration Reading Answers, along with simple ways to avoid them:

Common Mistake	How to Avoid It
Matching an answer by keyword only	Match the meaning, not just the same word.
Mixing up Tasmania, South Africa, and Tsimshian	Check the culture or language mentioned in the question.
Marking TRUE because the statement sounds reasonable	Choose TRUE only when the passage clearly supports it.
Choosing FALSE when the passage gives no information	Use FALSE only for a direct contradiction. Otherwise, check for NOT GIVEN.
Missing words like all, only, or same	Read these words carefully. They can change the meaning of the statement.
Assuming fingers were easier than pebbles	The passage mentions both as counting aids but does not compare them.
Confusing counting with developing a number concept	Keep the two ideas separate while reading the passage.
Connecting an example to the wrong idea	Ask what the example is being used to explain, not just where it appears.

Keeping these points in mind can help you avoid common traps and choose your answers with greater confidence. 

Looking for more IELTS Reading practice? Read these answer guides to practise different passage topics and question types: Transition Care for the Elderly IELTS Reading Answers Fatal Attraction IELTS Reading Answers with Explanations Bird Migration Reading Answers with Explanations Online Roommate Finder Toronto IELTS Reading Answers, Explanation Pine Trees IELTS Reading Answers 2026: Questions & Explanations

Conclusion

Numeration is a good reminder that IELTS Reading is not always about finding the same words in the passage. You also need to understand how examples, explanations, and small details connect to the question.

As you practise more passages, focus on understanding the information before choosing an answer. This will make it easier to handle paraphrased questions and avoid mistakes caused by assumptions or familiar keywords.

Planning to take IELTS for your study abroad journey? You can connect with upGrad’s study abroad experts for personalised guidance on your next steps.