Maths Flashcards

1
Q

How do you calculate nth term

A

Find the difference between the sequence , this will be the term (x) before the nth term. (Xn ). Then slot 1 in for n and add and subtract to fit sequence

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2
Q

What do cubic graphs look like?

A

They have more than one change of direction

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3
Q

What are reciprocal graphs?

A

Y=1/x . There are two lines , both curved (Turing points ) opposite to each other

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4
Q

What are exponential graphs?

A

Y=number to the power of x. This will start of at the x axis and steeply move up

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5
Q

How do you factorise , the difference between 2 squares?

A
  1. Square each number
  2. Put the two in each bracket
  3. Put a minus and a plus between each bracket
    * *If not a square, take out a common factor to make the two square numbers
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6
Q

How do you factories quadratics?

A

Ax**2 +bx +c
Find ac
1. See that factors which are the sum of b
2. Separate it out
3. Split the sum in half and factorise each one
4. The brackets should be the same
5. The remainders should make up the other brackets

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7
Q

How do complete quadratic inequalities?

A
  1. Factorise normally
  2. Find x values(opposite normal number)
    3.if smaller then zero then it is under the x axis
    If larger than zero then it is over the x axis
    Display in the form a
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8
Q

What is the volume of a prism

A

Area of base * height

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9
Q

What does minus square mean?

A

The fraction flipped over

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10
Q

What is the rule of collecting like terms?

A

Must have the same base and power

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11
Q

What is the sum of interior angles formula

A

(n-2) *180

n = sides of the shape

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12
Q

How do you factorise a quadratic?

A

Used ax squared + bx+c
1. Find AC
2. Find the factors of AC which add up to give B
3. Slot these two values in the original position on B
4. Split them into 2 and factorise each one
You must make sure that one of the brackets are common between the two factorisations

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13
Q

How do you turn a recurring decimal to a fraction

A

Find 10x and minus it from x

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14
Q

How do you find the percentage change?

A

Change in values
————————- ✖️100
Original value

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15
Q

How do you find reverse percentage?

A

Find the value of one percent
N : 200
1: x
110:x

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16
Q

How do you find compound interests?

A

Original ✖️(percentage+ 1) **years

17
Q

How do you find depreciation?

A

Original ✖️(percentage- 1) **years

18
Q

How do you find the HCF and LCM of a venn diagram?

A
HCF = overlap multiplied together 
LCM = everything in both multiplied together
19
Q

What are the rules of inequalities?

A

When multiplying or dividing by a negative number, the sign flips
⚫️ includes the number
🔘 does not include the number

20
Q

What is the sum of exterior angle

A

360➗n

n = number of sides