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Worksheets

Rational and Natural Numbers, Integers and Sets

Total questions: 40

Worksheet time: 2hrs 50mins

Name
Class
Date
1.
Which one of these is NOT an integer?
a)
5
b)
0
c)
-1.4
d)
-6
2.
What is true about the number 15?
a)
Its a whole number only
b)
Its a whole number and integer only
c)
Its a whole number, integer, and rational number
d)
Its none of the above
3.
Order these integers from least to greatest:  -15, 0, 11, -4, 7, -3
a)
0, -3, -4, 7, 11, -15
b)
-15, -4, -3, 0, 7, 11
c)
-3, -4, 0, 7, 11, -15
d)
-15, -3, -4, 0, 7, 11
4.
-45 is _______ than 9
a)
Greater
b)
Less
c)
Equal
d)
Bigger
5.

The set of positive whole numbers, their opposites and zero.

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

6.

Any number that can be written as a fraction.

a)

opposites

b)

integers

c)

absolute value

d)

rational numbers

7.

Every counting number is an integer.

a)

True

b)

False

8.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
9.
Solve:
-6 x (-5)
a)
-30
b)
36
c)
30
d)
-36
10.
Solve:
4+ (-5) - 6
a)
3
b)
5
c)
-5
d)
-7
11.
Reduce the following fraction:
25/55
a)
2.5/5.5
b)
1/3
c)
5/11
d)
3/5
12.
Change the following mixed number into an improper fraction:
5  7/8
a)
20/8
b)
5/2
c)
47/8
d)
it already is an improper fraction
13.
Change the following improper fraction into a mixed number:
34/3
a)
12  1/3
b)
11  1/3
c)
10  1/3
d)
it already is a mixed number
14.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

15.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

16.
Calculate:  6 - (-18)
a)
-24
b)
24
c)
12
d)
-12
17.

Identify all the multiples of 4....

a)

30

b)

32

c)

38

d)

44

e)

54

18.

What are the first 5 multiples of 16?

a)

1, 2, 4, 8, 16

b)

16, 32, 48, 64, 80

c)

16, 22, 38, 44, 50

d)

1, 2, 3, 4, 5

19.

Find the Least Common Multiple (LCM) of 3 and 4

a)

34

b)

7

c)

12

d)

24

20.
Which number is a factor of 20?
a)
5
b)
3
c)
6
21.
Which number is a prime number?
a)
8
b)
10
c)
3
22.
Which number is a composite number?
a)
10
b)
5
c)
7
23.
Find the HCF of 25 and 35
a)
10
b)
5
c)
7
d)
1
24.
Find the HCF of 45 and 60
a)
5
b)
15
c)
10
d)
9
25.

6⋅(-4)

a)

24

b)

-24

26.

(-6)⋅(-4)

a)

24

b)

-24

27.

-7(-5)

a)

-12

b)

35

c)

12

d)

-35

28.

-8(4)

a)

-32

b)

4

c)

32

d)

-4

29.

8/4

a)

6

b)

-2

c)

-6

d)

2

30.

-18/9

a)

3

b)

2

c)

-2

d)

-3

31.
a)
4
b)
-4
c)
64
d)
-46
32.
a)
4
b)
-4
c)
-3
d)
3
33.
Going left on the number line means what?
a)
Negative  
b)
Positive 
34.

The basketball team lost their last 6 games. They lost by a total of 48 points. Find the number of points lost each game.

a)

8 points per game

b)

7 points per game

c)

6 points per game

35.

Another term for member of a set.

a)

element

b)

set

c)

set notation

d)

roster method

36.

(a)   is a collection of well-defined objects.

37.

"The set of honest people" is a _____set.

a)

well-defined

b)

not well-defined

38.

If two sets have exactly the same elements, then they are (a)   .

39.

If A = {a, b, c, d}, how many subsets does A have?

(a)  

40.

An instructive way of describing the relationships between sets and elements and are made up of circles which represent the sets.

a)

Venn Diaphragm

b)

Venn Diagram

c)

Venn Euler

d)

Venn Operations