1.
(a)
Write down the following numbers in increasing order.
3.5, 1.6 ×10−19, 60730, 6.073×105, 0.006073×106, , 9.8×10−18.
(b)
Write down the median of the numbers in part (a).
(c)
State which of the numbers in part (a) is irrational.
W
orking:
Answers:
(a) ...................................................
...................................................
...................................................
...................................................
...................................................
...................................................
...................................................
(b) ...................................................
(c) ...................................................
(Total 6 marks)
1
2.
Consider the numbers 5, 0.5, 5 and –5. Complete the table below, showing which of the
number sets, , and these numbers belong to.
Working:
Answers:
5
0.5
5
–5
(Total 8 marks)
2
3.
(a)
Consider the numbers 2,
3, 
2
and the sets
3
,
,
, and
.
Complete the table below by placing a tick in the appropriate box if the number is an
element of the set, and a cross if it is not.
(i)
2
(ii)
3
(iii)

2
3
(3)
(b)
A function f is given by f : x  2x2 – 3x, x  {–2, 2, 3}. Students, I would not expect you
to be able to do this until after Chapter 2.
(i)
Draw a mapping diagram to illustrate this function.
(ii)
Write down the range of function f.
(3)
W
o
r
k
in
g
:
A
n
s
w
e
r
s
:
(b
) (ii).........................................
(Total 6 marks)
3
4.
Given
the set of integers,
the set of rational numbers,
(a)
Write down an element that belongs to

.
(b)
Write down an element that belongs to

.
(c)
Write down an element that belongs to
.
(d)
Use a Venn diagram to represent the sets
,
and
the set of real numbers.
.
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Answers:
(a).....................................................
(b).....................................................
(c).....................................................
(d).....................................................
(Total 6 marks)
5.
Let
= {x : 1 ≤ x < 17, x 
P , Q and R are the subsets of
}.
such that
P = {multiples of four};
Q = {factors of 36};
R = {square numbers}.
(a)
List the elements of
(i)
(ii)
P  Q  R.
(2)
4
(b)
Describe in words the set P  Q.
(1)
(c)
(i)
Draw a Venn diagram to show the relationship between sets P, Q and R.
(2)
(ii)
Write the elements of
in the appropriate places on the Venn diagram.
(3)
5