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Maths > Year 9 Yearlyz > Flashcards

Year 9 Yearlyz Flashcards

1
Q

How do you factorise an algebraic expression

A
  • Find the HCF of the terms and write it outside the brackets
  • divide each term by the HCF and write the answers inside the brackets
  • To check that it’s correct expand it.
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2
Q

How to expand the difference of 2 squares

A

The rule is =
(a+b)(a-b) = a2 - b2

The answer is always a minus

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3
Q

What is commission

A

Commission is earned by sales people. It is calculated as a percentage of the value of items sold or income made.

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4
Q

How do you find the unknown angle

A

Shift tan 35 ab/c =

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5
Q

How to Find the surface area of a closed cylinder

A

2 x Pie x radius2 + 2 x pie x radius x height

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6
Q

How do we find the exterior angle of a triangle

A

It is equal to the sum of the two interior opposite angles

Triangle interior angle + triangle interior angle = triangle exterior angle

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7
Q

How do you find the net pay

A

Net pay= gross pay - tax - other deductions

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8
Q

How to expand a perfect square

A

(A + b)2 = a2 + 2ab + b2

E.g (m + 9)2
= m2 + 81m + 92

The 2 at the end are meant to be squared 2

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9
Q

What is continuous data

A

This can be any time of data such as 42.36263 degrees celcius

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10
Q

What is the sin

A

Opposite/hypotenuse

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11
Q

Look at the fat index laws in your photos

A

Ye

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12
Q

What is the median

A

The middle score

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13
Q

How to find the percentage profit

A

Profit/Cost Price X 100%

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14
Q

What is discrete data

A

Legit just whole numbers

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15
Q

Look at chapter 4 and learn

A

Yet

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16
Q

What is numerical data

A

Data that can be counted

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17
Q

Study CHAPTER 7

A

Do it

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18
Q

How to add or subtract algebraic fractions

A

To add or subtract factions, convert them (if needed) so that they have the same denominator, then simply add or subtract the numerators.

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19
Q

How to test for a Pythagorean triad

A
  • square all numbers
  • plus the first 2 numbers
  • if it equals the third one it is a Pythagoras triad
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20
Q

What is categorical data

A

These can be put into categories such as someone’s hair colour

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21
Q 
What is the units of = 
Kgs to grams
Hours to seconds
Kilometres to metres
Hours to minutes
Days to hours
Litres to mL
A 
1kg = 1000 g
1h = 3600 s
1km = 1000m
1hr = 60 min
1d = 24 hrs
1L = 1000mL
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22
Q

How many minutes is 1 degree

A

1 degree = 60’

23
Q

How to find the surface area

A

Find the area of each face and add the areas together

Make sure to square the answer at the end

24
Q

How to factorise a quadratic trinomial E.g x2 + 6x + 8

A

E.g x2 + 6x + 8
=(x+__)(x+__)
=(x+2)(x+4)

This is because 2 + 4 is 6 and 2 x 4 is 8
You can find this by dividing 8 by 2,3,4 and then plusing the 2 to whatever you got or 3 to whatever you got.

25
Q

How to find the area of a trapezium

A

Area= 1/2 x (side+side) x height

26
Q

What is the mode

A

It is the score that occurs most

27
Q

Power of a power? How to do

A

When raising a power to another power, multiply the powers together

28
Q

Negative indices? How to do

A

A number raised to a negative power gives a fraction with a numerator of 1 then remove the - on the power

29
Q

How do you multiply algebraic fractions

A

To multiply fractions, cancel any common fractions and then multiply the numerator and denominator separately e.g
=4/k x 3k/16
=3/4
This is because 4 16 4 times and k goes into k once

30
Q

How do we write scientific notation

A

Numbers written in scientific notation are expressed in the form m x 10n

Where m is a number between 1 and 10 and n is an integer
YOU CAN ALSO DO IT ON THE CALCULATOR

31
Q

How much is GST

A

10% of the original price

32
Q

After a discount, how to find the original price

A 
E.g
If a tv costs $865 after a 24% discount what was the OG price?
=865/76 = 1%
= X 100 
= $1138.157
33
Q

What is piecework

A

Piecework is earned according to the number of items made or tasks completed. Fruit pickers and dress makers earn money this way.

34
Q

How to factorise a quadratic expression such as 3a2

the 2 is a squared 2

A

=3(a2-9)
=3(a+3)(a-3)
How to do it=
*look for any common factors and factorise first
*If there are 2 terms try factorising using the difference of 2 squares
*if there are 3 terms try factorising as a quadratic trionomial
*if there are 4 terms try factorising by grouping in pairs

35
Q

What is the mean

A

Number of scores

The - is a fraction

36
Q

What is tan

A

Opposite/adjacent

37
Q

How do you find the distance between points of an interval

A

You create a triangle on the graph and perform Pythagoras theorem to find the distance (hypotenuse)

38
Q

How do you expand a binomial product E.g ( x + 5)( x + 9)

A

E.g ( x + 5)( x + 9)
=x (x + 9) + 5(x + 9)
=x2 + 9x + 5x + 45
=x2 + 14x +45

x2 = the 2 is meant to be a high little 2 like a squared 2

39
Q

How many ‘ are in a “

A

1’ = 60”

40
Q

How to factorise the difference of two squares

A

a2-b2 = (a+b)(a-b)

41
Q

How to find the area for a rhombus and a kite

A

1/2 x X x Y

42
Q

How do you find the hypotenuse

A

You plus the other sides together

43
Q

What to do when the power is a fraction

A

And number raised to the power of 1/2 is the square root of that number and any number raised to the power of 1/3 is the cube root of that number

44
Q

STUDY 1-04 in book

STUDY 1-06 in book

A

Ye

45
Q

How to find the area of a parallelogram

A

Area x base x height

46
Q

How do you turn a recurring decimal into a fraction

A

Type the recurring decimal on your calculator but make sure the recurring number is a LOT OF THEM

47
Q

Wat is the cos

A

Adjacent/hypotenuse

48
Q

Do all exercise 11

A

Yeet

49
Q

How do you divide Algebraic fractions

A

To divide a fraction a/b, multiply by its reciprocal b/a

50
Q

How to find the area of a circle

A

Pie x (radius)2

The 2 is a squared 2

51
Q

How do you find the other sides of a triangle using the hypotenuse

A
  • unsquare the sides with numbers accordingly
  • hypotenuse - the numbered side
  • square the answer
  • that is what the other side would be
52
Q

What is the range

A

Highest score - lowest score

53
Q

What is annual leave loading

A

Annual leave loading is extra pay given during holidays. It is paid at the rate of 17.5% of four weeks of normal pay.

Maths (9 decks)

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