Flashcards
MATHS
Flashcards do conjunto (32)
- 1NUMBER-------------
- 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 - 3cubed 1 x 1 x 11 - 1
2 - 8
3 - 27
4 - 64
5 - 125
10 - 1000 - 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 - 5LOWEST COMMON MULTIPLETHE SMALLEST NUMBER THAT WILL DIVIDE BY ALL THE NUMBERSIN QUESTION
-LIST MULTIPLES AND FIND SMALLEST - 6HIGHEST COMMON FACTORTHE BIGGEST NUMBER THAT WILL DIVIDE INTO ALL NUMBERS IN QUESTION
- 7MULTIPLYING FRACTIONSMUNLIPLY SEPERATLY (AFTER CANCELLING)
- 8DIVIDING FRANCTIONSTIP AND TIMES
- 9FINDING A FRACTION OF SOMETHING9/20 OF 360 = (360/20)
=18 X 9
=162 - 10FRACTION > DECIMAL > PERCENTAGE PERCENTAGE > DECIMAL > FRACTONF > D (DIVIDE)
D > P (X100)
P > D (/100)
D > F (CHANGES) - 11PERCENTAGES : FIND X% OF Yfind 15% of 46
-write 15% as decimal = 0.15
-multiply 46 by 0.15 = 6.90 - 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 - 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% - 14FINDING % CHANGE%CHANGE = CHANGE
-------------- X100
ORIGINAL - 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) - 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) - 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 - 18THE (1 + r/100) BIT is the % in or decreaseeg......
5% increase is 1.05
26% decrease is 0.74 - 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 - 20REDUCING RATIOS TO THEIR SIMPLIST FORMdivide all numbers by same number eg
15:18
/3
5:6 - 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 - 22to get the form 1:n3:56 in ratio 1:n
/3
1:18.6 - 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 - 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) - 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 - 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 - 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 - 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 - 29MANIPULATING SURDS?????????
- 30QUADRATIC FORMULA X= -b+- Lb^2-4ac ----------------- 2aWHEN TO USE
when theres a - sigh!!!!!!!!
firstly get it =0 then work from there - 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 - 32TRIAL AND IMPROVEMENT
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- FlashCards sobre MATHS, criado por Martha Lee em 08-01-2015.
- Criado por
- Martha Lee
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