GENERAL Flashcards

1
Q

Key points when multiplying decimals

A

-Covert into whole numbers and long multiplication

-Remember to add up the decimal points and take them off at the end

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2
Q

Key points when deciding dividing decimals

A

-Divisor must be a whole number

-Use long division process

-Don’t forget to add the .0’s at the end

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3
Q

Adding and Subtracting fractions

A

Both bottom numbers in the fraction must be the same before you can add or subtract.

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4
Q

Multiplying fractions

A

Multiply top numbers and multiply bottom numbers. Use improper fractions or simplify to get final answer

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5
Q

Dividing fractions

A

Turn the second fraction upside down and then use multiplication method

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6
Q

How do you turn a whole number into a fraction?

A

Put it 1/whole number

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7
Q

Fractions to percentages

A

-Convert bottom number to 100 and repeat process to top number

-More complicated use long division process to get decimal and multiply by 100

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8
Q

Degrees Celsius into Fahrenheit

A

Multiply by 1.8 and add 32

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9
Q

Degrees Fahrenheit to Celsius

A

Take away 32 and Divide by 2 then add 10% of final value (rough estimate)

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10
Q

Mean, median and mode

A

Mean is average of all numbers (total divide amount)

Median is middle of all numbers

Mode is most common

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11
Q

Key points when simplifying algebra

A

-Simplify only the same groups

-number and letter can be times and added together (3a * 3b = 9ab)

-simplify in stages so you can keep track

-any negative or positive values stick with that group

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12
Q

Key points when expanding brackets

A

-individually multiply the numbers out from left to right

-add together/simplify answer

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13
Q

How would you factorise this?

m(p+q)-n(p+q)

A

Group the other together and then the inner. (m-n)(p+q)

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14
Q

When factorising which letters should go into the first bracket?

A

The letters that show on all the formula

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15
Q

What is Log100 and why

A

Log 100 = 2

If no base is given it’s assumed to be a 10

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16
Q

Three log rules

A

Log A^n = Nlog x A

Log(AB) = LogA + LogB

Log (A/B) = logA - LogB

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17
Q

What is Sin 90

A

Sine 90 = 1

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18
Q

What is sin 30

A

0.5

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19
Q

What is 30 cos?

A

0.86

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20
Q

What is 90 cos

A

0

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21
Q

What is log of a five figure number?

A

4

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22
Q

What is characteristic of log 0.698

A

-1

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23
Q

How to convert decimal to octal?

A

Use table to convert decimal to binary.

Convert Binary to Octal (4, 2, 1)

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24
Q

What is formula for litres to imperial gallons?

A

Divide by 4.54

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25
How would you find out gradient of an equation (I.e 2y + 4x = 15)
Rearrange formula into y = mx + c (M is gradient and C is y intercept)
26
Formula for gradient
Rise over run
27
How many mils is there in a whole circle?
6400 mils
28
How would you work out mils with a given angle?
Proportionally from 360:6400
29
What is one mil?
1/1000 Radians
30
How many degrees in a radian?
57.5
31
Interior angle formula
Interior Angle = ((n-2)180)/n
32
Formula for sun of angles in a polygon?
180(n-2)
33
What is a polygon?
A polygon is a shape with at least 3 straight edges and 3 angles
34
What is a quadrilateral?
A quadrilateral is a shape with 4 sides
35
What is a quadrilateral with 2 parallel sides?
Trapezoid
36
When figuring out binary to decimal what base do you write underneath the decimal number?
Base 10
37
What is 40 CU m
40m^3
38
What’s is meant when in the statement… 12 squared plus the square of 12?
12 squared plus 12 squared (288)
39
What is the square of 36?
36^2 = 1296
40
How is angular velocity measured?
Rad/sec
41
How many pairs of parallel sides does a trapezium have?
1 (it asks PAIRS)!!!
42
The sine of 45 degrees is
Sq root 2/ 1
43
Which trigonometric function is negative for 225
Sine
44
What do you do to convert inches to cm?
Multiply by 2.54!!!!
45
BCD numbering system
2 (Binary-coded decimal)
46
When does a graph cut the vertical axis?
When x = 0
47
Denary number
Decimal number
48
When it’s asking for a answer in Square centimetres what do you do?
Add all together (convert units if necessary) square the number to get final number
49
Formula for quadratic graph
Y = X^2 +bX + c
50
What is the square root of 16?
4 or -4
51
What is 1 to the power of 10
1
52
How else would you write X^-1
1/x^1
53
What is 16 to the power of a half
Square root of 16. So = 4
54
How could you work out the heigh of an equilateral triangle?
Pythagoras theorem
55
What is a supplementary angle?
Adds to 180
56
What is a complimentary angle?
Adds to 90
57
How to convert polar coordinates into rectangular?
Use the appropriate formula from SOH-CAH-TOA that contains known and unknown value. Rearrange the formula to generate answer
58
Litres to pints
1.76
59
What is the y intercept for y+2 = -x?
-2
60
When it asks you for an area in square centimetres, what do you do to the answer of area?
Square it
61
Knots to MPH
1.15
62
What happens when an algebraic equation is expanded out and all cancels each other out (while dividing)
1/1 = 1
63
What size angle has the same ratio for both the sine and cosine?
45
64
Locus points plotted equidistant from central point represent what?
Circumference
65
What’s is meant by a naperian log?
A natural logarithm
66
How is a naperian log denoted?
ln
67
What cube root of -64 and why?
-4 -4x-4=16 16x-4=-64
68
How do the zeros work with significant figures?
Leading zeros do not count Trailing zeros do not count unless decimal
69
What is meant by abscissa? (Graphs)
The distance from y (x)
70
What is meant by ordinate? (Graphs)
Height from x line (y)
71
Values to remember cos and degrees
1, 0, -1 (every 90 degrees)
72
Values to remember sin (and degrees)
0, 1, 0, -1 every 90 degrees