Free Printable The Complex Number System

1.

The symbol for the set of Natural Numbers is...

a)

ℕ

b)

ℕ₀

c)

ℤ

d)

ℚ

2.

True or False: Every Natural Number is either a prime number or a composite number?

a)

True

b)

False

3.

Which set of numbers can also be referred to as the set of Counting Numbers?

a)

Whole Numbers

b)

Natural Numbers

c)

Integers

d)

Even Numbers

4.

Select all answers that apply: The set of Natural Numbers is closed under which mathematical operation(s)?

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

5.

Write 504 as a product of prime factors (this process is know as prime factorisation).

a)

$500+00+4$

b)

1 + 1 + 1 + 1 ... (504 times)

c)

$2^3\times3^2\times7$

d)

$63\times8$

6.

The set of Integers is closed under addition, multiplication and which other mathematical operation?

a)

Division

b)

Subtraction

c)

Square Roots

7.

True or False: The set of Integers is countable?

a)

True

b)

False

8.

True or False: Zero is a Rational Number?

a)

True

b)

False

9.

Select all answers that apply: Which of the following are Rational Numbers?

a)

Recurring Decimals

b)

Terminating Decimals

c)

Surds

d)

$\pi$

10.

Convert

$0,2222...$

(a recurring decimal) into a fraction.

a)

$\frac{1\ 111}{5\ 000}$

b)

$\frac{1}{2\ 222\ }$

c)

$\frac{2}{9}$

d)

$\frac{5}{22}$

11.

Between which two Integers would you find $\sqrt[]{42}$ ?

a)

36 and 49

b)

41 and 43

c)

6 and 7

d)

6,4 and 6,5

12.

Which is bigger: the set of Rational Numbers or the set of Irrational Numbers?

a)

Rational Numbers

b)

Irrational Numbers

13.

Which of the following is an Irrational Number?

a)

$49$

b)

$\frac{\pi}{\pi}$

c)

$\sqrt[3]{36}$

d)

$\frac{5}{0}$

14.

The set of Rational Numbers combines with the set of Irrational Numbers to form which set of numbers?

a)

The Real Numbers (ℝ)

b)

The Complex Numbers (ℂ)

c)

The Prime Numbers (ℙ)

15.

$\sqrt[]{-4}$

is a type of complex number.

What is the name of this Complex number?

a)

Imaginary Number

b)

Non-real Number

c)

Impossible Number

d)

Indeterminate Number

The Complex Number System

Total questions: 15

Worksheet time: 9mins

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