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Flashcards

MATHS

Martha Lee English 32 cards

MATHS

Cards in this deck (32)

  1. 1NUMBER-------------
  2. 2squared1 - 1
    2 - 4
    3 - 9
    4 - 16
    5 - 25
    6 - 36
    7 - 49
    8 - 64
    9 - 81
    10 - 100
    11 - 121
    12 - 144
    13 - 169
    14 - 196
    15 - 225
  3. 3cubed 1 x 1 x 11 - 1
    2 - 8
    3 - 27
    4 - 64
    5 - 125
    10 - 1000
  4. 4FACTOR TREES express 420 as a product of its prime factors420
    42 10
    6, 7 2, 5
    2 , 3
    so 420 = 2 x 2 x 3 x 5 x 7
  5. 5LOWEST COMMON MULTIPLETHE SMALLEST NUMBER THAT WILL DIVIDE BY ALL THE NUMBERSIN QUESTION
    -LIST MULTIPLES AND FIND SMALLEST
  6. 6HIGHEST COMMON FACTORTHE BIGGEST NUMBER THAT WILL DIVIDE INTO ALL NUMBERS IN QUESTION
  7. 7MULTIPLYING FRACTIONSMUNLIPLY SEPERATLY (AFTER CANCELLING)
  8. 8DIVIDING FRANCTIONSTIP AND TIMES
  9. 9FINDING A FRACTION OF SOMETHING9/20 OF 360 = (360/20)
    =18 X 9
    =162
  10. 10FRACTION > DECIMAL > PERCENTAGE PERCENTAGE > DECIMAL > FRACTONF > D (DIVIDE)
    D > P (X100)
    P > D (/100)
    D > F (CHANGES)
  11. 11PERCENTAGES : FIND X% OF Yfind 15% of 46
    -write 15% as decimal = 0.15
    -multiply 46 by 0.15 = 6.90
  12. 12PERCENTAGES: FINDING THE NEW AMOUNT AFTER % INC/DECfind40% decrease of 68
    -turn % into decimal then multiply =
    0.4 x 68 = 27.20
    -add on to original value(or-)
    68 - 27.20 = 40.80
  13. 13PERCENTAGES: EXPRESS X AS A % OF Ydivide x by y then x100
    40p as a percentage of £3.34
    SAME UNITS
    = 334p
    - 40/334 x 100
    =12.0%
  14. 14FINDING % CHANGE%CHANGE = CHANGE
    -------------- X100
    ORIGINAL
  15. 15FINDING THE ORIGINAL VALUE (%)1 - write amount in question as a percentage of its original value (an incresde of 20% = 72000 is 120% of original)
    2- deivide by 1% of original value (72000 / 120 = 600)
    3 -multiply by 100 (600 x 100 = 600 000)
  16. 16SIMPLE INTERESTinvests £380 into account with 3% simple interest each year. how much will she earn in 4 yrs?
    1. amount of interest earned per year
    (3% = 3/100 = 0.03
    3% of 380 = 0.02 x 380 = 11.40)
    2. x4 for total interest of 4 years
    (4 x 11.40 = 45.60)
  17. 17COMPOUND GROWTH AND DECAYN = No (1 + r/100)n
    N = amount after n days/hrs..
    N = initial amount
    n = no of days hrs..
    r/100 = %change per day
  18. 18THE (1 + r/100) BIT is the % in or decreaseeg......
    5% increase is 1.05
    26% decrease is 0.74
  19. 19EXAMPLE OF COMPOUND INTEREST man invests £1000 which pays 8% compound interest per annum how much will there be after 6yrs?amount = 1000 (1.08)6
    £1586.87
  20. 20REDUCING RATIOS TO THEIR SIMPLIST FORMdivide all numbers by same number eg
    15:18
    /3
    5:6
  21. 21ratio containing decimals or fractionsdecimals : times both sides by 10 to get whole number
    fractions : put them over common denominator the x denominator to get rid of fractions
  22. 22to get the form 1:n3:56 in ratio 1:n
    /3
    1:18.6
  23. 23PROPORTIONAL DIVISION -TOTAL AMOUNT IS SPLIT INTO PARTS IN A RATIO1) add up parts
    2) divide total amount by number of parts to find one part
    3) x part to find amounts
  24. 24MULTIPLYING AND DIVIDING STANDARD FORM find (2.24x10(3)) x (6.75x10(5)1)rearrange to put front numbers and powers on 10 together
    (2.24 x 6.75) x (10(3) x 10(5)
    2) x or / front numbers and add powers
    15.12 x 10 (3+5)
    five answr in standard form
    1.512 x 10(9)
  25. 25ADDING AND SUBTRACTING STANDARD FORM1) make sure powers of 10 are the same, probs need to re write one
    2)add or sub front numbers
    3) convert to s.form if necessary
  26. 26FINDING THE nth TERM1) find the common difference ie a difference of 3 gives 3n (times by diff)
    2) work out what to add or subtract ie for n=1 3n =3 so ass 2 to term
    3) put it all together to get 3n+2
  27. 27RULES FOR POWERS1)WHEN MULTIPLYING YOU ADD POWERS
    2)WHEN DIVIDING YOU - POWERS
    3)WHEN (3(2))2 YOU MULTIPLY
    4) ANYTHING TO POWER OF 1 IS ITSELF
    5) ANYTHING TO POWER 0 IS 0
    6)1 TO ANY POWER =1
    7) APPLY POWER TO TOP AND BOTTOM OF FRACTIONS
  28. 28HARDER RULES FOR POWERS1) when negative-turn upside down
    eg 7(-2) = 1/7(2) = 1/49
    2)fractional powers
    1/2 = sq root
    1/3 = cube root
    1/4 = fourth root
    3)when 64 (5/6) split into root and power
    -(64) 1/6 x 5
    =(64,1/6)x5
    =(2)5 = 32
  29. 29MANIPULATING SURDS?????????
  30. 30QUADRATIC FORMULA X= -b+- Lb^2-4ac ----------------- 2aWHEN TO USE
    when theres a - sigh!!!!!!!!
    firstly get it =0 then work from there
  31. 31COMPLETEING THE SQUARE1. write down squared bracket
    2. write down number to complete it
    -put into initial square bracket
    -multiply this out to see what you need
    -look at the number on the end and see what you need to get from original end number to new end number
  32. 32TRIAL AND IMPROVEMENTTRIAL AND IMPROVEMENT

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Flashcards on MATHS, created by Martha Lee on 08/01/2015.
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Martha Lee
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