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Worksheets

Real Numbers and Number Theory

Total questions: 50

Worksheet time: 28mins

Name
Class
Date
1.

The answer for division is called _____

a)

sum

b)

difference

c)

product

d)

quotient

2.

The numbers multiplied together are called ________

a)

product

b)

factors

c)

addends

d)

dividend

3.
The numbers 0, 1, 2, 3, ... are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
4.
-10 is a whole number
a)
True
b)
False
5.

_________________ or counting numbers start at 1 and continue to infinity. Example: 1, 2, 3, 4, .....

a)

whole numbers

b)

prime numbers

c)

natural numbers

d)

odd numbers

6.
0.8 is a rational number
a)
True
b)
False
7.
Classify the Number: -23
a)

Whole number

b)

Integer

c)

Counting Number

d)

irrational

8.

Which of these are an example of a whole number?

a)

22/7

b)

16

c)

-20

d)

3.5

9.
A rational number can be written as a fraction.
a)
True
b)
False
10.

A natural number that possesses exactly two different factors, itself and 1, is called a ________ number.

a)

Prime

b)

Composite

c)

Odd

d)

Even

11.
What kind of number is 3/4?
a)
rational, integer
b)
whole only
c)
integer only
d)
rational only
12.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
13.

14\frac{1}{4}  is a rational number.

a)

True

b)

Flase

14.

Which of the following is an irrational number?

a)

-9

b)

0

c)

pi

d)

8

15.

What is the GCF of 16 and 32 ?

a)

2

b)

16

c)

32

d)

8

16.

Which of the following is the LCM of 12 and 8 ?

a)

72

b)

4

c)

48

d)

96

17.

Zero is a positive number.

a)

true

b)

false

18.

Which is NOT equal to 7 squared?

a)

7 x 7

b)

7 x 2

c)

49

d)

None of the above

19.

What are Odd numbers?

a)

All counting numbers

b)

Numbers that can be divided by 2 without leaving a remainder

c)

Numbers ending with 1, 3, 5, 7 or 9

d)

Numbers whose factors are one and itself.

20.

What is an irrational number?

a)

All whole numbers and their negative counterparts.

b)

A number that cannot be expressed as a fraction.

c)

A number with no fractional or decimal part.

21.

What is a rational number?

a)

Any number that can be written as a fraction or a ratio.

b)

All whole numbers and their negative counterparts.

c)

A number that cannot be written as a fraction.

22.

Which of the following is a real number?

a)

0

b)

0.75

c)

pi

d)

all of the above

23.

Which is a composite number?

a)

13

b)

15

c)

23

d)

37

24.

Which is a prime number?

a)

51

b)

33

c)

81

d)

47

25.

All even numbers are prime numbers.

a)

True

b)

False

26.

A number divisible by 10 is also divisible by_____

a)

3 and 2

b)

2 and 5

c)

10 and 20

d)

5 and 3

27.

Which number is divisible by 6?

a)

21

b)

40

c)

72

d)

80

28.

24 is divisible by what number?

a)

4

b)

6

c)

3

d)

all of the above

29.

400 is NOT divisible by

a)

5

b)

8

c)

10

d)

12

30.

Which is a factor of 1000 ?

a)

8

b)

12

c)

15

d)

75

31.

Which is the same as 2 x 2 x 2 x 2 x 2 x 2?

a)

26

b)

62

c)

2 times 6

d)

32

32.

What is the square root of 49?

a)

3

b)

5

c)

7

d)

9

33.

Which is NOT a perfect square?

a)

25

b)

16

c)

44

d)

1

34.

What is 152 equal to?

a)

15 x 2

b)

15 x 15 x 15

c)

30

d)

225

35.

What is the result when the square of 2 is added to the square of 1?

a)

2

b)

5

c)

6

d)

7

36.

What property is shown by 4 x 5 = 5 x 4?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Identity Property

37.

What is the identity element of addition?

a)

1

b)

0

c)

10

d)

-1

38.

What is the greatest 3-digit even number?

a)

100

b)

101

c)

998

d)

999

39.

-5 is the ______ of 5

a)

additive inverse

b)

reciprocal

c)

multiplicative inverse

d)

None of the above

40.

What should be on the blank to show distributive property?

____ (3 + 7 ) = 5 x 3 + 5 x 7

a)

3

b)

5

c)

7

d)

25

41.

Give all the prime factors of 16.

a)

2 x 2 x 4

b)

2 x 2 x 2

c)

2 x 2 x 2 x 2

d)

2 x 8

42.

What is the GCF of 9 and 27?

a)

3

b)

9

c)

27

d)

54

43.

What is the LCM of 15 and 60?

a)

5

b)

15

c)

30

d)

60

44.

What is the LCM of 3, 6 and 21?

a)

3

b)

6

c)

21

d)

42

45.

What is the least 2-digit odd number?

a)

8

b)

10

c)

11

d)

99

46.

What is 100 less than the square of 12?

a)

144

b)

244

c)

44

d)

88

47.

In the question, "what is the result when the sum of 5 and 7 is multiplied by 3",

what operation/s shall be used?

a)

multiplication only

b)

addition only

c)

multiplication and subtraction

d)

multiplication and addition

48.

What is the sum of the first 5 prime numbers?

a)

21

b)

22

c)

28

d)

30

49.

What is the sum of 7 and 8 less than the square of 10?

a)

15

b)

85

c)

100

d)

115

50.

What is the square root of 9 subtracted from the square of 9?

a)

3

b)

81

c)

78

d)

84