Maths End of Year revision cards.

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Prime Factor decomposition


  • A prime number is a number is a number with only 2 factors - itself and 1.
  • Any number greater than 1 can be written as a product of its prime factors. this is called the prime factor decomposition of the number:
  • 56 = 2 x 2 x 2 x 7= 2(3) x 7

Question: Express 84 as a product of its prime factors


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Multiplying expressions

  • Don't include the times sign.
  • Write divisions as fractions.
  • write numbers first in products.
  • Write letters in products of alpahbetical order.

Expanding brackets - Single

  • to write an expression without brakets, multiply all the terms inside the bracket by the term outside.
  • for negative terms, use the rules for multiplying by negative numbers:

negative term x positive term = negative term.

Expanding brackets - Double

  • you can expand a double bracket in algebra by multiplying pairs of terms.
  • each term in the first place


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Multiplying expression (cont.)

Factorising single brackets

  • To factorise an expression, you put the brackets in.
  • you divide the terms by their highest common factor (HCF)

eg - 12x +24

        HCF of 12x and 24 is 12.

        12(x + 2)

Factorising Double brackets

  • The two numbers in the brackets multiply to give the number at the end and add to give the number of xs

eg - ( x + 2 ) (x + 3 ) = x(2) + 3x + 2x + 6

       = x(2) + 5x + 6           2 x 3 = 6      2+3=5

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Approximation and rounding

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Thats very helpful for my maths!!!!

thank you



interesting comment Amy, u only looked at it for a second but still u found it helpful??? lol, u learn quick!!

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