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further maths > futher maths > Flashcards

futher maths Flashcards

1
Q

what is the equation for gradient

A

gradient=m=Y2-Y1
X2-X1

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2
Q

name the 2 equations of a straight line (advanced and basic)

A

Y-Y1=m(X-X1) Y=mx+c

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3
Q

what are lines with the same gradient

A

parralel

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4
Q

what is the equation to find the mid points if 2 coordinates

A

stack em, add em, HALF EM

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5
Q

Area of a circle

A

πr2

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6
Q

What is the origins coordinates

A

(0,0)

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7
Q

how do you calculate the circumference

A

2πr or πd

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8
Q

how do you get the HCF

A

times all numbers in the middle of the venn diagram

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9
Q

how do you get the LCM

A

Times all the numbers in the venn diagram together

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10
Q

How do you solve quadratics

A

make one side equal to zero

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11
Q

area of a triangle

A

(basexheight)➗2

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12
Q

whats is pythoraus theorm

A

A2+B2=C2

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13
Q

If a fraction is equal to a fraction what should you do

A

Cross multiply the numerators with the denominates

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14
Q

what is the formula for percentage change

A

new-old X100
old

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15
Q

when finding hypotenuse what should you type into calculator

A

√a2+b2=c2

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16
Q

when finding a short side what should you type into calculator

A

√c2-(a/b)2

17
Q

what is 14 squared

A

169

18
Q

what is 15 squared

A

196

19
Q

finish these pythagorien triples: 5,__,13 ,8,10 3,,5

A

5,12,13 6,8,10 3,4,5

20
Q

finish these pythagorien triples: 8,__,17 15,20,__ 12,__,20
9,__,15

A

8,15,17 15,20,25 12,16,20 9,12,15

21
Q

what is the perpendicular gradient of 5
4

A

_4
5

22
Q

what is the perpendicular gradient of 6

A

-1
6

23
Q

what is the perpendicular gradient of -3
2

A

2
3

24
Q

what is the area of a semicircle

A

πr2
2

25
Q

what is an ark

A

a segment of the circumference

26
Q

what is a cord

A

a line that goes straight from one point of the circumference to the other without going through the centre

27
Q

F (corresponding) angles are…

A

equal

28
Q

Z (alternative angles are…

A

equal

29
Q

C (co interior) angles…

A

add to 180

30
Q

opposite angles are…

A

equal

31
Q

In a quadratic the highest power is…

A

2

32
Q

A D.O.T.S equation stands for and is

A

Difference of two squares. for example x2-25=(x-5)(x+5)

33
Q

what would the multiplier be to increase by 116%

A

1.16

34
Q

what would the multiplier be to increase by 78%

A

0.78

35
Q

is simple interest calculated on your original investment

A

Yes

36
Q

is Compound interest calculated on your original investment

A

No, it adapts with the amount of interest you receive

37
Q

what does depreciates mean

A

reduction of value over time

38
Q

what does per annum mean

A

per year

39
Q

How would £120 be calculated with 30% compound interest

A

120x1.30{3}

further maths (2 decks)

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