Revision Sheet-mocks Flashcards
Metric conversions
Mili=1/1000
Kilo=1000
Centi=1/100
1cm=10mm
Adding algebraic fractions
Rewrite with first numerator bracket the denominator of the second fraction over bracket, one denominator bracket second denominator
Right second numerator bracket the denominator of the first fraction over bracket, one denominator bracket second denominator
Right as one big fraction with the numerator is adding and the denominators cancelling each other out
Rewrite as numerator equals denominators
Expand everything . Collect like terms equal one side to 0 by doing inverse of everything on that side. factorise that side into two brackets and have eggs equals opposite signs.
3x X 3x= 9x squared
3x X x= 3x squared
And or probability
If it’s and times the probabilitys
If it’s or add the probabilities
Area of sector and length of arc
Circumference= pixd or 2xpixr
What ever angle you have over 360 times the (substituted) formula
If you have a semicircle or a quarter of a circle just divide circumference by 2 or 4 (if no angle)
Area=pi x r squared
Angle over 360 times substituted formula answer is always squared
If working out perimeter -workout arc using formula +2 radiuses
Box plots
Draw line at minimum
Draw line at maxmium
Find median and draw line-cross till middle number
Draw line at lower quartile-cross equal amounts from minimum to median
Draw line at upper quartile-cross equal amounts from median to maximum
Using LQ and UQ draw box around median-draw long lines to minimum and max
To compare- compares medians (greater lesser)
Find interquartile range (UQ-LQ). Greater=more spread out
Box plot from cumulative graph
Find median on y axis by half img number of something there is
Find LQ on y axis by quater ing number of something there id
Find UQ on y axis by finding 3/4 of number of something there is
Hcf,lcm and prime factors
Prime factor tree
Hcf-multiply only overlap
Lcm-multiply everything in Venn diagrams
Fractional and negative indices
Negative-flip into fraction or into whole number (reciprocal)
Feactional-root by denominator,power by numerator. Fo reciprocal if negative
Expanding double brackets
Use grid method
Simultaneous equations
Times an equation to make them same term
Add or takeaway them for eachother-can switch bottom to top to make easier
Find one term-sub into original equation to find other term
Complete the square
Put x and half of the number before x into brackets with square outside bracket. Minus the number sauared and add or minus the left number.simplify into format.
To find turning point, make the bracket ewual 0 so it will normally be the number inside bracket w opposite sign.
Y is the +c part
If x had coefficient put that outside bracer and divide everything by the coeffiecent
Then have number [ (x half the number before x with square minus it squared and the other number + or -
Then u should times everything bt coefficient but leave coefficent where it it
2[(x-3) squared +5 would become 2(x-3) squared +10
WITH SURD ANSWER IF U GET FRACTION LEAVE IT AS ONE NOT DECIMAL
USING A CALCULTOR
0.675
THE 0 DOES NOT COUNT AS A SF. ONLY COUNTS IF IT IS AFTER THE NUMBERS
PRESS FRACTION KEY BEFORE WRITING THE FORMULA
Capture recapture
Put the original sample number over x (total)
Then equal to rhe number found marked over the new sample catch
Simplify this fraction by dividing by common factor
To get from this numerator to orignial sample number. Do that to the denominator. Thats ur answer
Assumption made-tags marks dye never faded/wiped off
Compound interest and deprication
Compound interest- 100% -/+ percent invrease or decrease. Original number x percentage u worked out as decimal to the power of number of years.
(Id not given original number for question use 100)
Simple interest-the percent x number of years. Answer is % invrease
If trying to work out number of years it takes for something to half in value then weite the decimal to the power of different years till answer is less than 0.5
If it says total amount if interest earned then takeaway original number from answer
Depreciation just means decrease
Multiply upto 3dp
Take out decimal and multiply as normal. See how much u had to move the dp to the right on both. Add the amount and move that much to the left in ur answer. Place dp there
Standard form
To add:
Turn into ordinary numbers add then turn back into standard forming needed
To divide and multiply:
Divide/multiply the normal numbers and then takeaway or add the powers.if answer too big or small for standard form then change
If u make the number bigger then make power smaller if u make number smaller then make power bigger
Table of values
Substitute the value of x into the expression for each value
