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Third Intermediate Key Rules

Short cards with the main formulas, science facts and grammar rules used in the Third Intermediate practice questions.

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Pythagoras' theorem
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1
Pythagoras' theorem
In a right-angled triangle, a squared + b squared = c squared, where c is the hypotenuse.
2
Difference of two squares
a squared - b squared = (a - b)(a + b).
3
Expanding (a + b) squared
a squared + 2ab + b squared.
4
Quadratic formula
x = (-b plus or minus the square root of (b squared - 4ac)) / 2a.
5
Discriminant of a quadratic
b squared - 4ac: positive gives two roots, zero gives one root, negative gives none.
6
Gradient of a line through two points
Rise divided by run: (y2 - y1) / (x2 - x1).
7
Equation of a straight line
y = mx + c, where m is the gradient and c is the y-intercept.
8
Area of a circle
pi x r squared.
9
Circumference of a circle
2 x pi x r, or pi x d.
10
Volume of a cuboid
Length x width x height.
11
Sum of interior angles of a polygon with n sides
(n - 2) x 180 degrees.
12
Mean, median, mode
Mean is total divided by count; median is the middle value; mode is the most frequent value.
13
Union of two sets: n(A union B)
n(A) + n(B) - n(A intersection B).
14
Simple interest
Interest = principal x rate x time / 100.
15
Speed
Distance divided by time.
16
Ohm's law
V = I x R: potential difference = current x resistance.
17
Force, mass and acceleration
F = m x a.
18
Photosynthesis word equation
Carbon dioxide + water, using light energy, gives glucose + oxygen.
19
Neutral pH
pH 7; below 7 is acidic and above 7 is alkaline.
20
Present perfect with since and for
Since names a point in time; for names a length of time.
21
First conditional
If + present simple, will + base verb: a real future possibility.
22
Third conditional
If + past perfect, would have + past participle: an unreal past situation.
23
Reported speech and tense
The tense usually moves back one step and pronouns change: 'I am tired' becomes 'he said he was tired'.
24
Comparative and superlative of short adjectives
Add -er and -est: tall, taller, tallest.
25
Synonym and antonym
A synonym has a similar meaning; an antonym has the opposite meaning.

Iraqi Third Intermediate Ministerial Exams in Iraq

In Iraq, Iraqi Third Intermediate Ministerial Exams is part of: Ministerial exams.

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