Maths

in inequalities what does the coloured circle and empty circle represent?

coloured dot is including the number the dot it is on, and empty dot is on the the not including number

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what should you do when there are x's in more than one side?

split into 2 inequalities

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when plotting the graph what should you do to the inequality?

assume it is like y=3x+1 not y<3x +1

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what must you remember when adding, subtracting, muliplying and dividing decimals

Decimals must line up

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when dividing what number must go inside?

the first number given e.g 100 divided by 10

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when using mixed fractions what must you do?

times the bottom number by the whole number and add the top number

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when adding fractions what must you do

make the denominator the same

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when dividing fractions what must you do?

do the recipricol of the second fracton and change the sign to times

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what do two wiggly lines represent?

approx equals to

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In direct proportion what does this represent y∝x?

y is proportional to x or y varies directy to x

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what are the steps to direct proportion when y=7 and z=2?

first change it to y=x, then place k in front of z, subsitute in so 7=k(2) which is y=3.5. then sub

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line of best fit must have...?

all evenly distributed dots

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what should you remeber in a stem and leaf diagram?

the key

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what should you do when 2 items are different priices and weights?

price divided by weight

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how to work out cf?

all numbers added before on the frequency table

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equation for median?

n+1 over 2

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finding the median?

last CF plus 1 over 2= xth value. find on the graph,

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nth term?

distance between each number - number before the n. add or minus correct amount to reach the right number.

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LCM?

factor trees, n+x+y, venn diagram, multiply all

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HCF?

actor trees, n+x+y, venn diagram, multiply inside only

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what must you do when you have (x+2) squared?

(x+2)(x+2)

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in indices what do you do when it is 10 to the power of 3 x 10 to the power of 2?

3-2

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what should you do when you have (a to the power of 3) power of 2?

3 times 2

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what is 6 to the power of 1?

6

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6 to the power of 6 divided by 6 to the power of 3?

6-3

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2 to the power of -3?

1 over 2 to the power of 3

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will it be positive or negative in this question:: (-5) to the power of 3?

negative

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(-5) to the power of 4?

positive

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rule for negative and positive outside a bracket?

odd is negative and even is postive

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what is 1, to the the power of 1 over 2?

2 square root of 1

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1, 2 over 3?

(3 square root of 1)power of 2

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what must you do when you times surds?

simplify the final answer by finding the square root of the inside number e.g 36 will be 6

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what must you do when you add surds?

square root both numbers and then add

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what are the square numbers?

4, 9,16, 25, 36, 49, 64, 81, 100

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How to simplify surds?

find a square number that multiply by any other number to make the first number e.g. 50= 25 and 2. simplyfy the square number and add it in front of the other number square rooted

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how to simplify twice in surds?

find square number times another number , simplify square number, and add infront of surd. if can simplify the other number. e.g. 2 square root 12. the (2 square root 4 x square root 3) do step 1 again and multiply brackets out

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what must the 1st number be in Standard form?

under 10

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when multiplying and dividing two standard forms what must you do?

mut the single number on one side and the powers on the other side

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pythagoras equation?

a squared + b squared = c squared

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quickest way for pythagoras?

all sides squared and added. square root answer

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steps for pythagoras on a pyramid?

find base of triangle, half it, find standing triangle

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how to find the midpoint of a line?

x1+x2 / 2 , y1 + y2 / 2

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what do you do when you have the subject twice on one side?

put it outside the bracket

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what does mutually exclusive event mean?

when 2 events cannot happen at the same time e.g. 2 and 1 on the same dice same throw

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what is the sum of all mutually exclusive events?

1

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what is an exhaustive event?

fulfills every possible outcome

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what is a sample space diagram?

table to show all possible outcomes

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what is the equation for relative frequency?

expected frequency = theretical probability x number of trials

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on a tree diagram what do you do as you go along the branches?

times the numbers

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what do you do when you dont know the total number in a tree diagram?

use x and then solve e.g. 3x+x=1

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what are similar triangles?

angles are equal and so are the sides in proportion

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what are congruent triangles?

same shape and size

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what are the names and letters of the 4 types of angles?

z = alternate angles, c = supplementary angles , f = corresponding angles, x = vertically opposite

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Name for trigonometry?

SOH CAH TOA

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what is x in trigonometry?

the angle

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what must you do when you dont have the angle?

-1

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what is opposite, adjacent, and hypotenuse?

opposite is side opposite angle, hyp = longest side, adj = last remaining side

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what are the 3 main things to remember at bearing

North Line, clockwise, 3 figure answer

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what must you do when rounding?

round to 1 sf number

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what is the equation for sum of interior angles (soia)

sioa= (n-2) x 180

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what do all polygon exterior angles add up to?

360

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what is a locus

traces a moving point that is a constantdustance from another point.

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Where does a positive enlargement go towards?

the right.

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Where does a negative enlargement go towards?

left

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What happens to the shape when it is a fractional enlargement

gets smaller

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How to describe a rotation?

centre of rotation, direction, angle of rotation

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What is the other wayto expand double brackets except using the pretzel thing?

put the first letter in the first bracket out side the bracket and the second bracket next to it. then the second number outside the bracket and the second bracket next to it

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What is a quadratic sequence

highest is x squared

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In a quadratic sequence what do you do to put in brackets

x square +bx+c: 2 number that add to make the first number and multiply to make the second number

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What do you do when you have a quadratic sequence which = 0

x square +bx+c: 2 number that add to make the first number and multiply to make the second number. then do x-y=0 and x-j=

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What is a, b, and c in a quadratic formula?

a= number before x squared. b= number before second number. c= third number.

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What do you do when you only have 2 numbers in a quadratic formula?

DOTS= put in double brackets

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In completing the square what are the steps?x squared - 12x

12 divided by 2 so it is (x - 6). -6 X -6 = -36. total answer = (x -6) squared - 36

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A straight line, c, has a equation of y=2x+3. Another parellel line ,d, passes through (1,3) find y-intercept?

substitute in so : y=2x+c. 1 is the x co-ordinate so 3=2(1)+c.rearrange so c=1

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what do parellel line have in common?

same gradient

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how to find the gradient of it's perpendicular line

negative recipricol

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