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Post by Admin on Jun 19, 2016 16:00:36 GMT
Remember
Soh Cah Toa
Sin = O / H (Opposite / Hypotenuse)
Cos = A / H (Adjacent / Hypotenuse)
Tan = O / A (Opposite / Adjacent)
You MUST know Soh Cah Toa as it is not in the tables book.
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Post by Admin on Jun 19, 2016 16:00:59 GMT
Relative frequency = Number of successful trials / number of trials
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Post by Admin on Jun 19, 2016 16:01:51 GMT
Pythagoras' Theorem
a² + b² = c²
This is in the tables book but you must know that a and b are the opposite and adjacent sides of the triangle whilst c is the hypotenuse.
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Post by Admin on Jun 19, 2016 16:02:09 GMT
To show that lines are perpendicular to each other, the answer should be -1.
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Post by Admin on Jun 19, 2016 16:02:32 GMT
If the line is rising, the slope is positive.
If the line is falling, the slope is negative.
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Post by Admin on Jun 19, 2016 16:03:29 GMT
Instead of using the slope formula, on a diagram, you can find the slope by doing the rise / run. So make a right angled triangle on the diagram between the two points, then count the number of squares rising and running. It don't matter if the squares are not full.
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Post by Admin on Jun 19, 2016 16:04:12 GMT
When given equations of lines, always remember that the number in front of the x is the slope. So for example,
y = 8 - 2x. The slope is -2.
y = x + 5. The slope is 1.
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Post by Admin on Jun 19, 2016 16:04:32 GMT
To find the intersection of two lines you use simultaneous equations.
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Post by Admin on Jun 19, 2016 16:05:10 GMT
To find missing sides or angles in a right-angled triangle, we use Sin, Cos or Tan. Follow these steps whilst doing so:
1. Label the sides of the triangle with all the information you're given.
2. Select which formula to use.
3. Substitute values into the formula.
4. Solve the resulting equation to find the missing value.
So for example of a past question,
ABC is a right-angled triangle
|ACB (triangle)| = 50 degrees and |AC| = 10cm
Calculate the length of [AB], correct to two decimal places.
Label the sides first!
We have the hypotenuse and we want the opposite.
Which formula has H and O in it? Soh Cah or Toa? Soh has. So you use Sin's formula.
Sin 50 degrees = |AB| / 10
Bring the ten over and multiply (because it was dividing before you brought it over) with Sin of 50 degrees.
Fill it into your calculator and you should get:
7.66044 = |AB|
Correct to two decimal places, 7.66 = |AB|.
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Post by Admin on Jun 19, 2016 16:05:49 GMT
When it asks you for the probability of something, DO NOT answer in words unless they specifically say to. If they ask probability, it has to be a fraction. Like what's the probability of getting a King out of a 52 card pack:
The probability is 4/52 which simplifies to 2/26 which simplifies to 1/13.
Unless they specifically say to, it is not advised to simplify probabilities. You should keep it as the original probability, in this case, 4/52 but there is NO HARM in simplifying it.
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Post by Admin on Jun 19, 2016 16:08:03 GMT
Volume is always something cubed whether it's cm or m etc.
So if the output is something cubed, then there are 3 inputs that you multiply to make it. This is the clue I do <
Volume (not Cylinder, Sphere & Cone which you're given in the tables book) = Length x Base x Height (which you could also write as lbh or l³)
Surface area (not Cylinder, Sphere & Cone which you're given in the tables book) = All the sides added with Base and Height (Otherwise: 6l² (squared because it's area)
You MUST KNOW these formulae as they are not in the tables book.
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Post by Admin on Jun 19, 2016 16:08:26 GMT
You MUST REMEMBER the following conversions:
1 litre = 1,000 cm (cubed)
To convert litres to cubic centimetres (cm cubed), multiply by 1,000.
1 litre = 1,000 ml > 1cm (cubed) = 1 ml
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Post by Admin on Jun 19, 2016 16:08:39 GMT
When the question has multiple units of measurement, make sure to convert each one all to the same unit as it will make the question 10x easier for you to understand.
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