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CSEC Mathematics > Formulae > Flashcards

Formulae Flashcards

(83 cards)

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1
Q

basic weekly wage

A

basic wage * hours worked

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2
Q

overtime wage

A

basic wage * 1.5 (time and a half or double time) * hours worked

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3
Q

Calculating cost price given profit%

A

(SP)$/(SP profit)%* 100= CP

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4
Q

Calculating cost price given loss%

A

(SP)$/(SP loss)% * 100= CP

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5
Q

finding % profit

A

P/CP*100

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6
Q

finding % loss

A

L/CP*100

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7
Q

Calculating selling price given profit %

A

percent added to 100/100 * CP

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8
Q

Calculating selling price given loss %

A

percent subtracted from 100/100 * CP

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9
Q

simple interest

A

SI= P * R * T/100

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10
Q

Principal

A

P= SI * 100/R * T

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11
Q

Rate

A

R= SI * 100/P * T

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12
Q

Time

A

T= SI * 100/P * R

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13
Q

Final Amount for Simple Interest

A

P+ SI

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14
Q

Compound Interest

A

Amount accruing(A)= P (1+r/100)^n

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15
Q

Final amount for Compound Interest

A

Amount accruing - Principal

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16
Q

equation of a line

A

y=mx+c

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17
Q

length of a line

A

(x2 - x1)^2 + (y2 - y1)^2 square rooted

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18
Q

m/gradient

A

y2 - y1 / x2 - x1

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19
Q

mid point/M

A

(x2 + x1 /2), (y2 + y1 /2 )

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20
Q

completing the square

A

h= b/2a

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21
Q

completing the square

A

k= 4ac-b^2/4a

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22
Q

quadratic expressions where h and k are constant

A

a (x+h)^2 +k

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23
Q

When to use SINE rule

A

Two angles, one side
OR
two sides, and a non-included angle

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24
Q

When to use COS rule

A

Three sides
OR
Two sides and the included angle.

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25
Pythagoras Therom
c² = a² + b² c² being the hypotenuse a² = c² - b² b²= c² - a² SQUARE ROOT AFTER
26
When are phythagoras therom and the trigonometric ratios used?
RIGHT ANGLED TRIANGLES ONLY
27
BEARINGS
- Try and draw it - Always have 3 digits - Start from NORTH, THEN MOVE - Alternate angles (form a z) and corresponding angles (parallel) r equal - Straight line and interior angles are equal to zero - Bearings move in a CLOCKWISE DIRECTION ONLY - horizontal plane simply means flat surface CHILL 😎
28
ANGLE or point or vertices
CAPITAL LETTERS
29
Length of a side or side or length
common letters
30
If x = to a constant/a whole number the line is...
Vertical and parallel to the x-axis
31
If y is equal to a whole number or constant it is...
Horizontal and parallel to the x-axis
32
(x, y)
(-h, k)
33
If the line is the perpendicular bisector...
The gradient is the negative reciprocal
34
When to use cosine, tangent and sine
SOH CAH TOA theta
35
Calculating area of an irregular shape
1. Separate into two shapes maybe more 2. Calculate areas of individual shapes 3. Add to get total area 4. Area equals to ?, possibly given area 5. Area equals to 0? Transpose
36
Identity Matrix
1 0 0 1
37
Identify Matrix Rules
I × A= A A × I= A A × A inverse = I
38
Solving simultaneous equations using matrices
39
Singular matrix
Is a matrix whose determinant is 0
40
If you have to square root a number of a matrix there is...
Two values negative and positive
41
Matrix multiplication and addition and subtraction etc
Addition and subtraction: must be the same size matrix Scalar Multiplication: multiply each number in the matrix by the scalar Multiplication and Divsion: The number of columns of the first matrix must be equal to the number of rows in the second matrix
42
The axis of symmetry
The middle of the graph where, x =
43
To solve a graph using an equation
Look for where the graph crosses the x-axis
44
Roots of a graph/equation
Where the line crosses the x-axis
45
Y intercept
Where it corsses the y axis
46
Minimum and maximum value is also known as
The turning point -h, k or x,y
47
Maximum point
Negative coefficient frown or n shape
48
Minimum point
Postive coefficient smile shape u shaped
49
Angles in a quadrilateral are equal to
360 degrees
50
Simultaneous equations ELIMINATION
1. Label the equations 1 and 2 2. CHOOSE WHICH VALUE U WANT TO ELMIANTE AND WHICH VALUE U WANT TO SOLVE FIRST 3. MULTIPLY TO GET LCM 4. SUBTRACT BOTH EQUATIONS SUBSTITUTE
51
Mean Median
£ fx / £f N/2
52
Matrix simultaneous equations
Multiply each side by it's inverse
53
Inverse of a matrix
1/the determinant adjoins matrix
54
Undefined function
When the denominator is equal to 0
55
When doing compound shapes or anything with unknown variables..
ALWAYS BUT BRACKETS
56
When dividing by a negative number, switch the inequality in other words try not to divide by a negative number
57
Show that means
Literally just calculate
58
Exterior angles of a polygon add up to..
360 degrees
59
A chord
A line connected to two ends of the circumference of a circle
60
Radius
Perpendicular to the diameter
61
SUM OF INTERIOR ANGLES Triangles Quadrilateral Pentagon Hexagon
180 degrees 360 degrees 540 degrees 720 degrees
62
In functions,
The inside part goes first e.g. fh(x) f[h×)
63
Length and perimeter same thing essentially
USE FORMUAL SHEET
64
Circumference
C = 2TTr
65
r
r= C/2TT
66
Height of a cone when it is right-angled
Phythora's theorm
67
The equation of the axis of symmetry especially when it is 1 mark is usually
X =
68
Values of x ARE
where the curve/parabola intersects the x-axis
69
how to calculate a transformation..
Multiply the matrix (FIRST) by a made up vector THEN Create a sketch and describe it
70
y= -x
\
71
Enlargement
Centre of enlargement Angle Scale factor which is k
72
For center of enlargement or center of rotation
DRAW CONSTRUCTION LINES PAST THE POINTS WHERE THE LINES INTERSECT IS THE CENTRE OF ENLARGEMENT OR ROTATION
73
Rotation
Angle (use protractor) Centre of rotation (CONSTRUCTION LINES)
74
Bearings
USUALLY Sine rule / cosine rule or angles such as interior
75
ax² + bx + c
Three terms THE TWO NUMBERS WHEN ADDED OR SUBTRACTED MUST GIVE U BACK BX (ax+ )(x+ )
76
Difference of two squares
a²-b² OR (a-b)² (a-b)(a+b)
77
Factorization by grouping
Four terms mx - my + nx - ny m(x-y) + n(x-y) BRACKETS FIRST (x-y) (m+n)
78
Roots of an equation
In the formula sheet and in graph, where the line crosses the x-axis
79
Congruent
Angles with the same size/measure Lengths are the same
80
Vectors
Usually added together Usually only two positions vectors Usually start the ''working out'' from the beginning vector Usually end at the end vector e.g. AB BX AX = AB + BX THE TWO MIDDLE LETTERS MUST ALWAYS BE THE SAME AND THE ENDING LETTERS MUST MATCH THE VECTOR'S LETTERS UR LOOKING FOR
81
Magnitude of a vector
|AB| = x² + y² square rooted
82
Cos rule
ASS SSS
83
Sine rule
Matching pairs

CSEC Mathematics (3 decks)

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