Maths Flashcards by Péter Szabó

How do you calculate the area of a triangle?

1/2 x Base x Height

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Area of a circle?

Pi times r squared

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Circumference of a circle?

2 pi times r

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How does (x^3-x) simplify?

X(x^2-1)

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How do you get time when you have distance and speed?

Distance/Speed

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5/12 divided by 3/8 can also be expressed how?

5/12 x 8/3

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How to calculate (n+1)^2 mentally?

N^2 + n + (n+1)

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How many combinations if I have a set of n, with r selected?

N!/(r!(n-r)!)

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Sum of all units in a sequence?

Average x Number of terms

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Number of terms in a sequence?

((Last item- First Item )/2)+1

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a^x times a^y

a^(x+y)

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Reciprocal of x

1/x

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What is Gemdas?

Order of operations which is:

Groups (e.g. Parenthesis)
Exponents (e.g. Square root or square)
Multiplication
Division
Addition
Substraction

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What is absolute value of x-5?

Distance of x from 5

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Abosulte value of x+ 12?

Distance of x from -12

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If x = GCD of A&B
And
Y is LCM of A&B
What is AB?

AB is equal to xy

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Sum of angles of any shape

(N-2)*180

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Area of an equilateral triangle?

((Root of 3 ) /4) * side^2

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Ratio of 30-60-90 triangles sides

1-2-root of 3

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Whats an equilateral triangle?

Szabalyos haromszog

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What is median?

The middle number of a set

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What is mean?

Arithmetic average of a set

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Probabality of a event a or b happening?

P(a) plus (p(b)

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Probability of event a and b happening

P(a)*P(b)

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What is 10^-3?

0.001

5/6

0.8333

1/7

0.142

7/9

0.77777

If we add a to numerator and b to denominator, what do we get?

A number closer to a/b

How to figure out if 3/14 or 4/15 is bigger?

Cross multiply.

Is 1 a prime number?

NO!!!

Factor x^2-y^2

(x-y)(x+y)

Is 4^(-5) positive or negative?

Positive

What is divisibility by prime boxes?

To break down numerator and denominator into multiples of prime numbers, and see if you can eliminate all denominators to 1. No problem is denominator figure staye, but numerator must be 1.

(A^x)*(B^x) =

(Ab)^x

0.6 with a line above the 6 equals?

2/3

What is arc length?

Körív

Formula to use to find line from on epoint

Y = mx + b | M being the slope and then plugging in known point coordinates

Prime numbers below 60

2-3-5-7-11-13-17-19-23-29-31-37-41-43-47-53-59

How to find out if a number below 100 is prime.

See if its dividible by 2-3-5-7.

What is mode?

The most common number in a set

How to get number of factors of a large number | Gow to do same for odd or for even numbers

Prime factors, then adding 1 to the powers, the multiplying powers For odd, ignore 2 For even, substract odd from total

Least common multiple

(PxQ)/ Greatest common factor

Ratio of circumference to diameter?

What is a multiple of a number?

If k is a multiple of 1440, then k is equal to x times 1440

If two numbers are inversely proportional, waht is true?

That their product is constant

How to calculate time

Quantity / rate

How to calculate rate

Quantity / Time

How to calculate quantity

Rate x time

Even + even Odd +odd Even+odd Even x even Odd x odd Even x odd

Even + even = even Odd +odd = even Even+odd = odd Even x even = even Odd x odd = odd Even x odd = even

a^x-b^x

(A-b)x(a+b)

Square root of x | Is x to the power of what?

X to the power of 0.5

What % of values are in one standard deviation, and what percentage in two?

68% and 95%

When does the <> sign change direction in inequalities?

If you multiply or divide by a negative number

What is -3

|x-4|<7

Divident formula

Divident = (divisor x quotient) + remainder

Formula of distance Formula of rate Formula of time

D=rt T=d/r R=d/t

X^n + x^(n+1) =

X^n * (x+1)

Square root of x^2 is?

|x|

3^4

2^9 Down to 2^2

512 To 4

4^3 | 4^4

64 | 256

5^3 | 5^4

125 | 625

6^3 7^3 8^3 9^3

216 343 512 729

Area of equilateral triangle

(Square root 3 /4) * side^2

B^(1/2)

Square root of b

How do you rationalise | 1/(3-root 5)?

Multiply by (3+root5)/(3+root5)

Formula of 3d rectangular cube cross line?

Diagonal cross squared = side a squared + side b squared + side c squared

Slope formula

Delta y / delta x

Formula for possibilities of seating around circular table?

(N-1) l!

What is a point reflected over line x=y Or Y=-x What are these lines?

These are diagonal lines from origin X=y switches y and x coordinate X=-y switches y and x coordinate and also the signs in front of them

(Root (x+y) ) * (root(x-y))=?

Root(x^2-y^2)

List 4 pithagorean triplets

3-4-5 6-8-10 5-12-13 7-24-25

If in a set of n items b are identical, how many distinct arrangements can be made?

N!\b!