# (a) Number and Algebra

## (i) Real Number System

Question 1
Look at the ten numbers below.
Tick the boxes (like this ) under all the numbers in the list that are
 -.
.
0
(a) natural numbers

(b) rational numbers

(c) irrational numbers

(d) integers

(e) real numbers

Question 2
Choose the correct sign ( <, > or = ) to go between each of the pairs of numbers in the list below.
Type the appropriate sign in the box between each pair of numbers.
 -.
.
0

Question 3
Number the values below in ascending order.
Start with 1 in the box below the lowest number and finish with 10 in the box below the highest number.
If two numbers are equal, you can number them either way round. Make sure each of the numbers from 1 to 10 appears once.
 -.
.
0

Question 4
(a) What is the value of the "" in the number
(b) What are the largest and smallest numbers that can be formed using only the four digits of the number
Largest =
Smallest =

Help for selecting inequality symbols in Question 5
 You will see this graphic at various points in the next question. It is designed to let you choose one of the four inequality symbols. To use it, just click the appropriate symbol on the graphic. If you click the wrong inequality, just click again and select a different one. You can practice with this example.

Question 5
Look at the number lines below.
Work out what inequality is represented on each number line.

 (a)

 (b)

Question 6
In this question, you need to write each of the following fractions as decimals.
If the decimal recurs, only give the first 7 decimal places. Otherwise, give an exact answer.

(a) =
(b) =
(c) =
(d) =

Question 7
 Complete the table below, showing the equivalent values for each number. To fill in the fractions, put the numerator in the top box and the denominator in the bottom box, like this: You should leave all fraction answers in their simplest form.

Fraction
Decimal

Percentage
%
%
%
%
%
%
%
%
%

Assessment
Use the buttons below to have your questions marked and a report produced.