Fromulae Flashcards

1
Q

Area of a Trapezium

A

0.5 x (a+b) x h

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2
Q

Volume of a sphere

A

4/3 x pi x r3

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3
Q

Surface area of a sphere

A

4 x pi x r2

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4
Q

Volume of a cone

A

1/3 x pi x r2 x h

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5
Q

Area of a triangle

A

1/2 x a x b x sinC

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6
Q

Volume of a cylinder

A

Pi x r2 x h

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7
Q

Volume of a pyramid

A

1/3 x base area x height

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8
Q

Interior angle of an n-gon

A

(n-2) x 180 / n

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9
Q

Area of sector

A

Angle / 360 x r2 x pi

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10
Q

Arc length

A

Angle / 360 x 2 x r x pi

Add 2 radii for perimeter

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11
Q

Area of a circle

A

pi x r2

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12
Q

Quadratic formula

A

-b +- (square root of: bsqaured - 4ac) / 2a

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13
Q

What is 5 miles roughly equal to?

A

8 kilometres

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14
Q

What is 1 gallon roughly equal to?

A

4.5 litres

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15
Q

What is 2.2 pounds roughly equal to?

A

1 kilogram

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16
Q

What is 1 inch roughly equal to?

A

2.5 centimetres

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17
Q

What is circle theorem 1?

A

Angle at the centre is double the angle at the circumference

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18
Q

What is circle theorem 2?

A

Angles in the same segment are equal

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19
Q

What is alternate segment theorem?

A

There are two equal pairs of angles. One made at the tangent line is equal to the angle in the triangle in the opposite side

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20
Q

What is circle theorem in cyclic quadrilaterals?

A

Opposite angles in a cyclic quadrilaterals adds up to 180

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21
Q

What is a tangent theorem?

A
  • The angle between a tangent to a circle and the radius to that point is 90 degrees
  • Tangent at any point on a circule is perpendicular to the radius at that point
22
Q

How do you work out frequency density? What goes on what axis?

A
Frequency / class width 
X axis: class width measurement 
Y axis: frequency density
23
Q

What is 1 litre equal to in cm cubed?

A

1000 cm cubed

24
Q

What is 1000L equal to in m cubed?

A

1m cubed

25
Q

What is the two line circle theorem?

A

Tangents from an external point are equal in length

26
Q

What do chords and circles do?

A

The perpendicular from the centre of a chord bisects the chord

27
Q

What is the semi circle circle theorem?

A

Angle sub tended at the circumference by a semi circle is 90 degrees

28
Q

What is the question of a circle?

A

X square plus y squared = r squared

29
Q

What is the equation of a circle not centred at the origin?

A

(X-a) squared + (y-b) squared = r2 (a,b being the centre)

30
Q

What is sin30?

A

0.5

31
Q

What is sin60?

A

Route 3 over two

32
Q

What is sin45?

A

1 over route 2

33
Q

What is sin0?

A

0

34
Q

What is sin90?

A

1

35
Q

What is sin180?

A

0

36
Q

What is cos30?

A

Route 3 over 2

37
Q

What is cos60?

A

0.5

38
Q

What is cos45?

A

1 over route 2

39
Q

What is cos0?

A

1

40
Q

What is cos90?

A

0

41
Q

What is cos180?

A

-1

42
Q

What is tan30?

A

1 over route 3

43
Q

What is tan60?

A

Route 3

44
Q

What is tan45?

A

1

45
Q

What is tan0?

A

0

46
Q

What is tan90?

A

Undefined

47
Q

What is tan180?

A

0

48
Q

What is the cosine rule?

A
  • a squared = b squared + c squared - 2bcCosA

- CosA = b squared + c squared - a squared / 2bc

49
Q

What is the sine rule?

A

aSinB = bSinA

50
Q

Which triangles are congruent?

A

ASA, SAS, SSS, RHS

51
Q

Which triangles are not congruent?

A

AAA, SSA

52
Q

Surface area of a cylinder

A

2 x pi x r x h