Formulae Test (1 Viewer)

[bored of sc]

Close up your textbooks and see if you can name the formulae of the mathematics course.
<O
1) a^maⁿ = <O
2) a^m/aⁿ = <O
3) (a^m)ⁿ = <O
4) (ab)ⁿ = <O
5) (a/b)ⁿ =
6) x⁰ = <O
7) x^-n =
8) x^m/n =<O</O
9) sqrt(a)*sqrt(b) =<O</O
10) sqrt(a)/sqrt(b) = <O</O
<O</O
<O

 

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11) If a > 0 |a| =<O</O
12) If a < 0 |a| = <O</O
13) If a = 0 |a| = <O</O
14) |ab| =<O</O
15) |a|² =<O</O
16) |a+b| < <O</O
17) (a+b)(x+y) = <O</O
18) (a+b)(x+y+z) = <O
19) (a+b)(a-b) =<O</O
20) (a+b)² =

 

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21) (a-b)² = <O</O
22) a³+b³ = <O</O
23) a³-b³ =<O</O
24) sqrt(a)*sqrt(a) =<O</O
25) a*sqrt(b)*c*sqrt(d) = <O</O
26) a/sqrt(b) =<O</O
<O</O

 

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27) a/(sqrt(x)+sqrt(y)) =<O</O
28) The inequality sign reverses when:<O</O
(i) (ii) (iii)
29) Quadratic formula, x =<O</O
30) Two ways to solve simultaneous equations are:

 

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31) Vertically opposite angles are ____
32) Corresponding angles are _____<O
33) Co-interior angles are _____<O</O
34) Alternate angles are _______<O</O
35) Sum of interior angles of any n sided polygon<O</O
35) Sum of exterior angle of any n sided polygon <O</O
36) Congruent triangle proofs (4)
37) Similar triangle proofs (3)<O
38) Ratio of intercepts rule<O
39) Pythagoras' therom<O
40) Area of<O
(i) square (ii) rectangle (iii) triangle (iv) parallelogram (v) rhombus (vi) trapezium (vii) circle<O

 

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41) For even functions f(x) =
42) For odd functions f(-x) =
43) To find x-intercepts
44) To find y-intercepts
45) Domain is all real
46) Range is all real
47) Equation of straight line<o></o>
(i) general form (ii) gradient form (iii) intercept form<o></o>
48) Equation for a parabola<o></o>
49) Equation for a circle, radius r and centre (a,b)<o></o>
50) Equation for semicircle<o></o>
51) Equation of a hyperbola

 

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52) Trigonometric ratios (opposite, adjacent etc)
(i) sin@ (ii) cos@ (iii) tan@ (iv) cot@ (v) sec@ (vi) cosec@<O</O
53) Cosec x = 1 / sin x <O</O
54)Sec x = 1 / cos x <O</O
55) Cot x = 1 / tan x<O</O
56) Sin x = cos<O</O
57) Cos x = sin<O</O
58) Sec x = cosec
59) Cosec x = sec
60) Tan x = cot
61) Cot x = tan
62) 60 minutes
63) 60 seconds

 

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64) The angle of elevation is the angle measured when looking from the ____ up to the _____ of the object. We assume that the ______ is horizontal.
65) The angle of depression is the angle measured when looking _____ from the ______ to an object below.
66) True bearings measure angles clockwise/anticlockwise from north/south.
67) Sin 45
68) Cos 45 <o></o>
69) Tan 45<o></o>
70) Sin 60<o></o>
71) Cos 60 <o></o>
72) Tan 60 <o></o>
73) Sin 30 <o></o>
74) Cos 60 <o></o>
75) Tan 30 <o></o>
76) Quadrant _ = sin, cos and tan are all positive
77) Quadrant _ = sin is positive, cos and tan are negative
78) Quadrant _ = tan is positive, sin and cos are negative
79) Quadrant _ = cos is positive, sin and tan are negative

 

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80) Sin (180 – x) =
81) Cos (180 – x) = <O></O>
82) Tan (180 – x) = <O></O>
83) Sin (180 + x) =<O></O>
84) Cos (180 + x) =<O></O>
86) Sin (360 – x) = <O></O>
87) Cos (360 – x) =<O></O>
88) Tan (360 – x) =<O></O>
<O

 

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89) Sin 0<O</O
90) Sin 90 <O</O
91) Sin 180 <O</O
92) Sin 270 <O</O
93) Sin 360 <O</O
94) Cos 0<O</O
95) Cos 90 <O</O

 

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96) Cos 180<O</O
97) Cos 270 <O</O
98) Cos 360 <O</O
99) Tan 0<O
100) Tan 90 Tan 270<O
101) Tan 180<O</O
102) Tan 360

 

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103) Fundamental identity
104) Sine formula <o></o>
105) Cosine formula <o></o>
106) Area of a triangle <o></o>
107) Distance formula<o></o>
108) Midpoint formula<o></o>
109) Gradient formula<o></o>
110) m = ___@ (gradient) where @ is the angle the line makes with the positive x-axis<o></o>

 

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111) Point gradient formula
112) Two point formula<o></o>
113) Two lines with gradients m₁ and m₂. What relationship between the gradients is there if (i) the lines are parallel (ii) perpendicular?<o></o>
114) If the equations of two lines are given as a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 then the equation of a line through their intersection is given by the formula: __________________________ where k is a constant.

 

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115) Perpendicular distance formula where you are measuring the distance from (x₁,y₁) to ax+by+c = 0 is
116) Differentiation from first principles f’(x) = limhà0 ________<O></O>
117) If f(x) = xⁿ then f’(x) =<O></O>
118) Function of a function rule<O></O>
119) Product rule<O></O>
120) Quotient rule<O></O>

 

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121) The line perpendicular to a tangent that passes through the point of contact is called ________.<O></O>
122) Axis of symmetry of a quadratic function, x = <O></O>
123) Discriminant (delta) = <O></O>
124) If delta = 0 then the function has __ real root(s)<O></O>
125) If delta < 0 then the function has __ real root(s)<O></O>
126) If delta > 0 then the function has __ real root(s)<O></O>
127) If delta = perfect square the roots are ______

 

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128) Sum of roots, @ + & =
129) Product of roots, @& = <o></o>
130) Parabola (x-h)² = 4a(y-k) has<o></o>
(i) focus at (ii) directrix equation (iii) vertex at (iv) axis parallel to<o></o>
131) As above but for (y-k)² = 4a(x-h)<o></o>
132) Common difference, T2 - __ = __ - T2<o></o>
133) nth term of an arithmetic series is given by, Tn = <o></o>
134) Sum of an arithmetic series is given by, (i) Sn = (ii) Sn

 

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135) Surface areas of
(i) rectangular prism (ii) cube (iii) cylinder (iv) sphere (v) Cone<o></o>
136) As above but for volume<o></o>
137) If f’(x) > 0, then the curve is<o></o>
138) If f’(x) < 0, then the curve is <o></o>
139) If f’(x) = 0, then the curve is<o></o>

 

[Timothy.Siu]

lol...nice work

 

[bored of sc]

lol...nice work

I just realised I could have used an attachment.

 

[bored of sc]

The rest of it.