AQA Foundation Maths section 1 Numbers

Section 1: Numbers/definitions/methods/revision notes purposes only!

Square numbers  

Method  

• Times whatever number by itself or times it by 2.  

• For example: 8x8=64 

Cube numbers  

Method  

• Times whatever number 3 times.  

• For example: 2x2x2=8 

Multiples 

Method  

• A list of any numbers times tables.  

• For example: 9,18,27,36,45,54,63, 72,81,90 

Prime numbers  

• Most prime numbers are odd except 2.  

• For example: 2/even/devisable by one and itself,1/odd,3/odd,5/odd,7/odd,  

Factors  

• Any number that divides into itself more than once.  

For example: (1:24=24), (2:12=24), (3:8=24) 

Prime factors 

Any number that can be broken down into strings of prime numbers all times together.  

Method  

• Split the number into two factors.  

• Every time you get a prime number put a ring around it.  

• Repeat until you end up with units.  

• Write all your prime numbers in order.  

Lowest common multiple/LCM 

Smallest numbers that divides into both into all the numbers in the question.  

Method  

• Make a list of the times tables for both numbers. (12 and 6) 

• Find the same smallest number in both columns.   

Highest common factor/HCF 

The biggest number that divides into all the numbers in the question.  

Method  

• List all the factors for both numbers. (36,18) 

• Find the same largest number in both columns.   

Fractions without calculator  

Cancelling down/simplify  

Method  

• Divide the top and bottom by the same number. (numerator and dominator) 

Mixed numbers  

Whole number with a fraction. (3 2/5) 

Improper fraction 

Top number is bigger than the bottom number. (numerator bigger than dominator) 

Converting mixed number into improper fraction  

Method  

• Multiple denominator  

• Add numerator  

• For example: whole number x bottom + top  

Converting improper fraction into a…