Flashcards
Maths y9 eoy
Cards in this deck (21)
- 1standard form:e.g.
999000000 =
9.99x10^8
0.08 =
8x10^-2 - 2adding and subtracting standard formconvert each number first, add them together and convert back to standard form
e.g.
6x10^3 + 7.6x10^2=
6.76x10^3
4x10^3 - 5.2x10^2=
3.48x10^3 - 3multiplying and dividing standard formno need to convert just multiply or divide the first numbers and add or subtract the powers.
e.g.
4x10^3 x 2x10^2=
8x10^5
8x10^7 / 4x10^3=
2x10^4 - 4significant figuresremember that if its for example 1sf then consider wether the second one is above or below 5 to decide wether to round the 1st sf
e.g.
15200(1sf)=20000
0.06270(2sf)=0.06300 - 5multiplying decimalsignore the 0. and just multiply the number after the 0.
e.g.
0.23x0.9=0.207
0.3x0.67=0.201 - 6dividing decimalsmake the decimals whole numbers and divide them. the answer for the decimals is the same for the whole numbers.
e.g.
2.4/0.6=4
1.8/0.03=60 - 7surdsnumber in root
factor tree of roots
one root has to be prime
divide the none prime one and remove the root
root325=root25xroot13
=5root13 - 8Solving equationsequation will look like this
ax-bx=c
e.g.
6x-2x=40
4x=40
x=10 - 9rearranging equationsequation will look like this
ax+b=x+c rearrange to put the x’s on the same side but remember
CHANGE SIDE
CHANGE SIGN
e.g.
4x+5=x+14
4x-x=-5+14
3x=9
x=3 - 10expanding bracketsmultiply all numbers inside the brackets by the number outside and remove the brackets in the answer
e.g.
3(2x+5)=
6x+15 - 11rearranging equations 2you will be given a question with two brackets that equal each other that you have to expand. expand the brackets then put both x’s on the same side.
IMPORTANT:
for the answer
start with x= so the x has been eliminated. next is the fraction, the number that was with the x goes at the bottom of the fraction. the number left over goes as the numerator.
e.g.
4(2x+3)=5(3x-2)
8x+12=15x-10
15x-8x=-10+12
7x=22
x= 22/7
3(2x+9)=2(4x-1)
6x+27=8x-2
6x-8x=-27-2
-2x=-29
x= 29/2 - 12double bracketsuse FOIL
(first outside inside last)
e.g.
(x+4)(x+3)
x^2+3x+4x+12
x^2 +7x+12 - 13rearranging formulae: changing the subjectmove all letters away onto the other side from the letter that you want to make the subject.
CHANGE THE SIDE
CHANGE THE SIGN
e.g.
subject:q
p= 3q^2+r//s
ps=3q^2+r
ps-r=3q^2
ps-r/3=q^2
rootps-r/3=q
subject:q
p=z(q/r + t)^2
p/z=(q/r+t)^2
rootp/z=q/r+t
rootp/z -t=q/r
r(rootp/z -t)
- 14inequalitiesgreater than, less than, greater than or equal to, less than or equal to
intervals use inequalities to represent a range of values.
the inequalities set the boundaries of the interval
1_ - 15angles in polygonsangle relationships(picture)
how to find angles
exterior=360/no of sides
interior=180-exterior
exterior=180-interior
sum=(no of sides-2)x180
interior=sum/sides
sides=sum/interior
sum/180=sides-2
sum=interior x sides
sides= 360/ exterior
- 16quadratic sequencesfind 1st difference(difference between terms)
find 2nd difference(difference between 1st)
half the 2nd dif to get the coefficient.
the coefficient is the first part of the nth term.
put n above terms.
and put coefficient above them.
find difference between the coefficient n and the terms.
difference will create a linear sequence that comes at the end of the nth term
if all terms are same then that number goes at the end instead.
so the nth term of a quadratic sequence is:
coefficient +linear nth term - 17data handlingraw data is the original data and all of the data collected
to find the median of raw data do.
(NUMBER OF DATA+1) divided by 2= nth position
for even number of data
ADD MIDDLE PAIR AND DIVIDE BY 2
=nth position
do this for frequency tables\/
- 18Question TextAnswer Text
- 19Question TextAnswer Text
- 20hierarchy of operationsleave roots unless you can simplify them.
when adding numbers with powers, convert them into normal numbers before adding them.
USE BIDMAS
e.g.
_//5^2+3x^3_/-27
_//25+3x-3
_//25+-9
_//16
_/16=4
^3_/10^2+5^2
^3_/100+25
^3_/125=5 - 21multiplying indicesRule:
a^m x a^n=a^m+n
multiply the normal numbers together but add the powers together
e.g.
3^6 x 3^11=
3^17
2k^3 x 4k^2=
8k^5
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- Flashcards on Maths y9 eoy, created by toby gorner on 06/06/2018.
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- toby gorner
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