Maths 7-11 years

Explaining ‘numbers’ to children.

Our number system is worked in BASE 10 and each number has a place value. This means that its value depends on its position.  
In arithmetic the positions are given names
e.g. 965

In these examples the figures underlined have the following values:
3789 3 = 3000 (three thousand)
40327 40 = 40000 (forty thousand)
65891 8 = 800 (eight hundred)

Number Groups

1. Even numbers
An even number is a number which can be exactly divided by 2  e.g 2 4 6 8 10

2. Odd numbers  All other numbers are odd e.g 1 3 5 7 9 11

 3. Prime numbers A prime number is a number which can only be divided exactly by itself and by one. All prime numbers are odd numbers apart from 2. 1 is not a prime number 5 7 9 11 13 29 53 are some examples of prime numbers

4. Square numbers

These are numbers whose dots can be arranged in the shape of a square

Following from this any number multiplied by itself will form a square

e.g. 16 25 36 etc

The square of a number is written as 7² i.e. 7x7---seven rows and 7 columns equals 49

With a square number the number of dots in each row, or each column is known as the Square root of a number

√ this is the sign for square root √ 25 is 5

5. Rectangular Numbers

These are numbers whose dots can be arranged in the shape of a rectangle.

6. Triangular numbers

 These are numbers whose dots can be arranged in the shape of a triangle

Some numbers are both square and rectangular 16=4x4(square) 8x2=16 (rectangular)

36 is the lowest number which is a square, rectangular and triangular number

Have fun with Numbers

	Revision problems KS2 maths	KS2 maths paper B	Revision maths Year 6	Maths SATS questions & explanations
	Sample KS2 maths paper for revision	Year 3 maths revision and test	Decimal Fun	Definition of prime numbers and sequencing

Please see the side menu for the full range of topics covered.