Number Systems

$$\mathbb N$$: The set of natural or counting numbers 0, 1, 2, 3, etc. Some say this set does not include zero.

$$\mathbb Z$$: The set of integers. This set is the same as the set of natural numbers but includes the negative whole numbers.

$$\mathbb Q$$: The set of rational numbers. These are the numbers that can be expressed as a proper fraction or one integer divided by another.

$$\mathbb R$$: The set of real numbers. That is probably all the numbers you know unless you have studied the topic of Complex Numbers.

$$\mathbb R$$
$$\mathbb Q$$
$$\mathbb Z$$
$$\mathbb N$$
$$\text{one million}$$
$$\frac34$$
$$\cos 40^o$$
$$\pi$$
$$\sin 30^o$$
$$-\sqrt9$$
$$\frac{57}{9}$$
$$\frac23$$
$$\sqrt2$$
$$1.\dot4\dot2$$
$$\frac12\div\frac12$$
$$7$$
$$-2.479315...$$
$$1.3$$
$$1\div6$$

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

Drag the numbers into the correct sets as shown in the Venn diagram above. When you have finished click on the 'Check' button above.

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There are other related activities on the Transum Mathematics website to support your understanding of number.