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Module 1 - B License (Maths) > GENERAL > Flashcards

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
Q

How would you find out gradient of an equation (I.e 2y + 4x = 15)

A

Rearrange formula into y = mx + c

(M is gradient and C is y intercept)

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26
Q

Formula for gradient

A

Rise over run

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27
Q

How many mils is there in a whole circle?

A

6400 mils

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28
Q

How would you work out mils with a given angle?

A

Proportionally from 360:6400

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29
Q

What is one mil?

A

1/1000 Radians

30
Q

How many degrees in a radian?

A

57.5

31
Q

Interior angle formula

A

Interior Angle = ((n-2)180)/n

32
Q

Formula for sun of angles in a polygon?

A

180(n-2)

33
Q

What is a polygon?

A

A polygon is a shape with at least 3 straight edges and 3 angles

34
Q

What is a quadrilateral?

A

A quadrilateral is a shape with 4 sides

35
Q

What is a quadrilateral with 2 parallel sides?

A

Trapezoid

36
Q

When figuring out binary to decimal what base do you write underneath the decimal number?

A

Base 10

37
Q

What is 40 CU m

A

40m^3

38
Q

What’s is meant when in the statement…

12 squared plus the square of 12?

A

12 squared plus 12 squared (288)

39
Q

What is the square of 36?

A

36^2 = 1296

40
Q

How is angular velocity measured?

A

Rad/sec

41
Q

How many pairs of parallel sides does a trapezium have?

A

1 (it asks PAIRS)!!!

42
Q

The sine of 45 degrees is

A

Sq root 2/ 1

43
Q

Which trigonometric function is negative for 225

A

Sine

44
Q

What do you do to convert inches to cm?

A

Multiply by 2.54!!!!

45
Q

BCD numbering system

A

2 (Binary-coded decimal)

46
Q

When does a graph cut the vertical axis?

A

When x = 0

47
Q

Denary number

A

Decimal number

48
Q

When it’s asking for a answer in Square centimetres what do you do?

A

Add all together (convert units if necessary) square the number to get final number

49
Q

Formula for quadratic graph

A

Y = X^2 +bX + c

50
Q

What is the square root of 16?

A

4 or -4

51
Q

What is 1 to the power of 10

A

1

52
Q

How else would you write X^-1

A

1/x^1

53
Q

What is 16 to the power of a half

A

Square root of 16. So = 4

54
Q

How could you work out the heigh of an equilateral triangle?

A

Pythagoras theorem

55
Q

What is a supplementary angle?

A

Adds to 180

56
Q

What is a complimentary angle?

A

Adds to 90

57
Q

How to convert polar coordinates into rectangular?

A

Use the appropriate formula from SOH-CAH-TOA that contains known and unknown value. Rearrange the formula to generate answer

58
Q

Litres to pints

A

1.76

59
Q

What is the y intercept for y+2 = -x?

A

-2

60
Q

When it asks you for an area in square centimetres, what do you do to the answer of area?

A

Square it

61
Q

Knots to MPH

A

1.15

62
Q

What happens when an algebraic equation is expanded out and all cancels each other out (while dividing)

A

1/1 = 1

63
Q

What size angle has the same ratio for both the sine and cosine?

A

45

64
Q

Locus points plotted equidistant from central point represent what?

A

Circumference

65
Q

What’s is meant by a naperian log?

A

A natural logarithm

66
Q

How is a naperian log denoted?

A

ln

67
Q

What cube root of -64 and why?

A

-4

-4x-4=16
16x-4=-64

68
Q

How do the zeros work with significant figures?

A

Leading zeros do not count

Trailing zeros do not count unless decimal

69
Q

What is meant by abscissa? (Graphs)

A

The distance from y (x)

70
Q

What is meant by ordinate? (Graphs)

A

Height from x line (y)

71
Q

Values to remember cos and degrees

A

1, 0, -1 (every 90 degrees)

72
Q

Values to remember sin (and degrees)

A

0, 1, 0, -1 every 90 degrees

Module 1 - B License (Maths) (7 decks)

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