Number Theory Quiz1 4A1

Set of Who

100

Which of the Following represents the set of Natural Numbers?

• a) {0, 1, 2, 3, …}
• b) { 1, 2, 3, …}
• c) {…, -2, -1, 0, 1, 2, …}
• d) {¼, ½, ¾}

Natural Numbers are the numbers used for counting physical objects and starts from 1 up to infinity:

{1, 2, 3, ...}

200

Which of the following numbers gives a Rational Number?

• a) 2/√5
• b) √(25/36)
• c) π /2
• d) √31

A Rational Number can be represented in form of a fraction (p/q) where p and q are integers

√(25/36) becomes 5/6

300

If g is an even number, which of the following is an Even Number?

• a) g+1
• b) g-3
• c) 2g-1
• d) 2g+2

If a number originally is even, Multiplying by any number or adding or subtracting another even number keeps it even.

2g+2

400

Match the following laws with the right expression

Associative Law, Distributive Law, Commutative Law

• 1) A(A+B)=AA+AB
• 2) A(BC)=(AB)C
• 3) AB=BA

Associative Law: Terms can be grouped when adding or multiplying in any order

A(BC)=(AB)C

Distributive Law: Multiplying terms thoroughly across addition/subtraction

A(A+B)=AA+AB

Commutative Law: Terms multiplied or added in any order is the same

AB=BA

500

Match the following correct sets with the types of numbers. (Some can be used more than once)

Natural Numbers| Whole Numbers| Integers| Irrational Numbers| Rational Numbers| Odd Numbers| Even Numbers| Prime Numbers,

• a) {0, 3, 8, 15, 24}
• b) {√2, -√7, π, √11, π/2}
• c) {-8, -3, 0, 4, 11}
• d) {2, 3, 5, 11, 17}
• e) {1, 3, 5, 7, 9}
• f) {-7/2, -1/3, 0, 5/4, 11/2}
• g) {2, 4, 6, 8, 10}
• h) {-6, -2, 1, 7, 12}

• a) {0, 3, 8, 15, 24} WHOLE NUMBERS
• b) {√2, -√7, π, √11, π/2} IRRATIONAL
• c) {-8, -3, 0, 4, 11} INTEGERS
• d) {2, 3, 5, 11, 17} PRIME
• e) {1, 3, 5, 7, 9} ODD
• f) {-7/2, -1/3, 0, 5/4, 11/2} RATIONAL
• g) {2, 4, 6, 8, 10} EVEN
• h) {-6, -2, 1, 7, 12} INTEGERS

True/ False

100

The the Number Zero "0" is a Natural Number.

True/ False?

Zero is NOT classified as a Natural Number.

It would fall under the Category of Whole Number or Integer

FALSE

200

The number Zero "0" is a Rational Number because 

0 = 0/1

True/ False

Any whole number can be written in a rational form (p/q) by dividing by 1, which does not change the value of it.

TRUE

300

If k is an Odd Number, then k+3 is also an Odd Number.

FALSE

Adding or subtracting an Odd Number by another Odd number will give you an Even Number.

400

A Multiple is a result when you multiply a number by an Integer

While a Factor is any number that can divide another number without leaving a remainder.

True/ False?

TRUE

A Multiple is a result when you multiply a number by an Integer

While a Factor is any number that can divide another number without leaving a remainder.

500

The Commutative Law Applies to Division and Subtraction

A-B = B-A

or

A÷B = B÷A

TRUE/ FALSE?

FALSE

The Commutative Law Applies to Addition and Multiplication only

A+B=B+A

or

A×B=B×A       |     AB=BA

List them out

100

List the first 4 Multiples of 7

The first 4 Multiples of 7 are 

{7, 14, 21, 28}

200

List all the Factors of 24

{1, 2, 3, 4, 6, 8, 12, 24}

300

List the next 3 Prime Numbers after 30

The next 3 Prime Numbers after 30 are

{31, 37, 41}

400

Determine the next THREE numbers in the following sequence:

1, 4, 9, 16, ___, ____, ____

The Patter of the Sequence 1, 4, 9, 16 are square numbers. The next 3 numbers are

25, 36, 49

500

What is the Lowest Common Multiple of 5 and 8?

The Lowest Common Multiple of 5 and 8

List of multiples 5: 5 10 15 20 25 30 35 40 45 50

List of Multiples 8: 8 16 24 32 40 48 56

Answer: 40