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Maths Flashcards

1
Q

How do you calculate the area of a triangle?

A

1/2 x Base x Height

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2
Q

Area of a circle?

A

Pi times r squared

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3
Q

Circumference of a circle?

A

2 pi times r

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4
Q

How does (x^3-x) simplify?

A

X(x^2-1)

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5
Q

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

A

Distance/Speed

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6
Q

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

A

5/12 x 8/3

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7
Q

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

A

N^2 + n + (n+1)

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8
Q

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

A

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

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9
Q

Sum of all units in a sequence?

A

Average x Number of terms

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10
Q

Number of terms in a sequence?

A

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

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11
Q

a^x times a^y

A

a^(x+y)

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12
Q

Reciprocal of x

A

1/x

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13
Q

What is Gemdas?

A

Order of operations which is:

Groups (e.g. Parenthesis)
Exponents (e.g. Square root or square)
Multiplication
Division
Addition
Substraction
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14
Q

What is absolute value of x-5?

A

Distance of x from 5

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15
Q

Abosulte value of x+ 12?

A

Distance of x from -12

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16
Q

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

A

AB is equal to xy

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17
Q

Sum of angles of any shape

A

(N-2)*180

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18
Q

Area of an equilateral triangle?

A

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

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19
Q

Ratio of 30-60-90 triangles sides

A

1-2-root of 3

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20
Q

Whats an equilateral triangle?

A

Szabalyos haromszog

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21
Q

What is median?

A

The middle number of a set

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22
Q

What is mean?

A

Arithmetic average of a set

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23
Q

Probabality of a event a or b happening?

A

P(a) plus (p(b)

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24
Q

Probability of event a and b happening

A

P(a)*P(b)

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25
Q

What is 10^-3?

A

0.001

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26
Q

5/6

A

0.8333

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27
Q

1/7

A

0.142

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28
Q

7/9

A

0.77777

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29
Q

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

A

A number closer to a/b

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30
Q

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

A

Cross multiply.

31
Q

Is 1 a prime number?

32
Q

Factor x^2-y^2

A

(x-y)(x+y)

33
Q

Is 4^(-5) positive or negative?

34
Q

What is divisibility by prime boxes?

A

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.

35
Q

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

36
Q

0.6 with a line above the 6 equals?

37
Q

What is arc length?

38
Q

Formula to use to find line from on epoint

A

Y = mx + b

M being the slope and then plugging in known point coordinates

39
Q

Prime numbers below 60

A

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

40
Q

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

A

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

41
Q

What is mode?

A

The most common number in a set

42
Q

How to get number of factors of a large number

Gow to do same for odd or for even numbers

A

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

43
Q

Least common multiple

A

(PxQ)/ Greatest common factor

44
Q

Ratio of circumference to diameter?

45
Q

What is a multiple of a number?

A

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

46
Q

If two numbers are inversely proportional, waht is true?

A

That their product is constant

47
Q

How to calculate time

A

Quantity / rate

48
Q

How to calculate rate

A

Quantity / Time

49
Q

How to calculate quantity

A

Rate x time

50
Q

Even + even
Odd +odd
Even+odd

Even x even
Odd x odd
Even x odd

A

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

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

51
Q

a^x-b^x

A

(A-b)x(a+b)

52
Q

Square root of x

Is x to the power of what?

A

X to the power of 0.5

53
Q

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

A

68% and 95%

54
Q

When does the <> sign change direction in inequalities?

A

If you multiply or divide by a negative number

55
Q

What is -3

56
Q

Divident formula

A

Divident = (divisor x quotient) + remainder

57
Q

Formula of distance
Formula of rate
Formula of time

A

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

58
Q

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

A

X^n * (x+1)

59
Q

Square root of x^2 is?

60
Q

3^4

61
Q

2^9
Down to
2^2

62
Q

4^3

4^4

63
Q

5^3

5^4

64
Q

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

A

216
343
512
729

65
Q

Area of equilateral triangle

A

(Square root 3 /4) * side^2

66
Q

B^(1/2)

A

Square root of b

67
Q

How do you rationalise

1/(3-root 5)?

A

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

68
Q

Formula of 3d rectangular cube cross line?

A

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

69
Q

Slope formula

A

Delta y / delta x

70
Q

Formula for possibilities of seating around circular table?

71
Q

What is a point reflected over line x=y

Or

Y=-x

What are these lines?

A

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

72
Q

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

A

Root(x^2-y^2)

73
Q

List 4 pithagorean triplets

A

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

74
Q

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

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