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Mathematics · Self Assessment

Practice Test: Number Systems

A 100-mark paper covering "Place Value & Face Value", "Number Systems: Natural, Whole, Integer, Rational & Real Numbers", "Roman Numerals", and "Number Base Systems" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.The place value of a digit depends on:Basic2 pts

A. Its position in the number

B. Its color

C. The size of the page

D. Nothing

2.The face value of a digit is:Basic2 pts

A. The digit itself, regardless of its position

B. Always zero

C. The digit multiplied by 100

D. The number of digits in the number

3.In the number present, natural numbers start counting from:Basic2 pts

A. Negative infinity

B. 1 (or 0 depending on convention), and go upward

C. Only even numbers

D. Only fractions

4.Whole numbers include:Basic2 pts

A. Natural numbers plus zero

B. Only negative numbers

C. Only fractions

D. Only decimals

5.Integers include:Basic2 pts

A. Only positive numbers

B. Positive numbers, negative numbers, and zero

C. Only fractions

D. Only decimals

6.A rational number can be expressed as:Basic2 pts

A. A fraction of two integers, with a non-zero denominator

B. Only a whole number

C. Never as a fraction

D. Only a negative number

7.Which of these is an example of a rational number?Basic2 pts

A. 3/4

B. The square root of 2 (an irrational number)

C. Pi (π)

D. None of these

8.Real numbers include:Basic2 pts

A. Only whole numbers

B. Both rational and irrational numbers

C. Only negative numbers

D. Only fractions

9.Roman numerals use letters such as:Basic2 pts

A. I, V, X, L, C, D, M

B. A, B, C, D

C. 1, 2, 3, 4

D. Greek letters only

10.In Roman numerals, the letter "X" represents:Basic2 pts

A. 5

B. 10

C. 50

D. 100

11.The binary number system uses only the digits:Basic2 pts

A. 0 and 1

B. 0 through 9

C. 1 through 5

D. A through F

12.The decimal number system is based on:Basic2 pts

A. Base 2

B. Base 10

C. Base 16

D. Base 8

13.The octal number system is based on:Basic2 pts

A. Base 2

B. Base 8

C. Base 10

D. Base 16

14.Which number base system is commonly used in computing at the lowest level?Basic2 pts

A. Binary (base 2)

B. Roman numerals

C. Base 5

D. Base 7

15.In the International number system, place values include ones, tens, hundreds, and:Basic2 pts

A. Thousands

B. Only ones

C. Only tens

D. None of these

Section B — True / False

20 marks

10 questions · 2 marks each.

16.Place value depends on where a digit is positioned in a number.Intermediate2 pts

True

False

17.Face value of a digit changes depending on its position in the number.Intermediate2 pts

True

False

18.Natural numbers are used for basic counting.Intermediate2 pts

True

False

19.Whole numbers include zero along with all natural numbers.Intermediate2 pts

True

False

20.Integers can be negative, zero, or positive.Intermediate2 pts

True

False

21.Every rational number can be written as a fraction of two integers.Intermediate2 pts

True

False

22.Irrational numbers, like pi, can be written as an exact simple fraction.Intermediate2 pts

True

False

23.Real numbers include both rational and irrational numbers.Intermediate2 pts

True

False

24.Roman numerals use the standard Hindu-Arabic digits 0 through 9.Intermediate2 pts

True

False

25.The binary number system uses only two digits: 0 and 1.Intermediate2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.The value of a digit based on its position in a number is called its ______ value.Intermediate2 pts

27.The value of a digit itself, regardless of position, is called its ______ value.Intermediate2 pts

28.Numbers used for basic counting, like 1, 2, 3, are called ______ numbers.Intermediate2 pts

29.Natural numbers plus zero are called ______ numbers.Intermediate2 pts

30.Numbers that include positive numbers, negative numbers, and zero are called ______.Intermediate2 pts

31.A number that can be written as a fraction of two integers is called a ______ number.Advanced2 pts

32.A number that cannot be written as an exact fraction, like pi, is called an ______ number.Advanced2 pts

33.The ancient number system that uses letters like I, V, and X is called ______ numerals.Advanced2 pts

34.The number system that uses only 0 and 1 is called the ______ system.Advanced2 pts

35.The number system based on 10 digits (0–9) that we use every day is called the ______ system.Advanced2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each number term to its correct definition.Advanced10 pts

Column A

Place Value

Rational Number

Irrational Number

Roman Numerals

Binary System

Column B

A number that cannot be written as an exact simple fraction

An ancient number system using letters like I, V, and X

A number system that uses only the digits 0 and 1

The value of a digit based on its position in a number

A number that can be expressed as a fraction of two integers

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.Explain the difference between place value and face value.Advanced4 pts

42.What is the difference between whole numbers and natural numbers?Advanced4 pts

43.What makes a number a rational number?Advanced4 pts

44.Give one example of a real-life or historical use of Roman numerals.Advanced4 pts

45.Why is the binary number system important in computing?Advanced4 pts

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