Write the amount in the question as a percentage of the original value. Divide to find 1% of the original value. Multiply by 100 to give the original value (100%)
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Speed, Distance, Time
Distance=Speed X Time
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Density, Mass, Volume
Mass= Density X Volume
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Alternate Angles
Alternate angles are the same. They are found in a Z-shape.
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Allied Angles
Allied angles add up to 180. They are found in a C or U shape.
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Corresponding Angles
Corresponding Angles are the same. They are found in an F shape.
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Exterior Angles
Sum of exterior angles=360. Exterior angle=360÷n
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Interior Angles
Sum of interior angles= (n-2) X 180. Interior angle= 180-exterior angle
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Congruent Shapes
SSS- 3 sides are the same. AAS- 2 angles and a corresponding side match up. SAS- 2 sides and the angle between them match up. RHS- a right angle, the hypotenuse and one other side all match up.
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Similar Shapes
They are the same shape- could be different sizes or rotated. Look for a scale factor.
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Translations
The amount a shape moves by is given by a vector, written (x over y). x=horizontal movement (right is positive and left is negative). y=vertical movement (up is positive and down is negative.
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Rotations
3 details: angle of rotation, direction of rotation, centre of rotation
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Reflections
You must give the equation of the mirror line.
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Enlargements
2 details: the scale factor (new length÷old length), centre of enlargement
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Area of Sector
x÷360 X area of full circle
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Length of Arc
x÷360 X circumference of full circle
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Surface Area of a Cylinder
2TTrh + 2TTr²
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Volume of a Cylinder
TTr²h
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Volume of Prism
cross sectional area X length
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Volume of a Pyramid
1/3 X base area X vertical height
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Volume of a Fustrum
1/3 TT R²H - 1/3 TT r²h
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How Enlargement affects Area and Volume
sides are n times bigger. areas are n² times bigger. volumes are n³ times bigger.
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Sin x
Sin x= Opposite÷ Hypotenuse
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Cos x
Cos x= Adjacent÷ Hypotenuse
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Tan x
Tan x= Opposite÷Adjacent
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Sine Rule
a÷sin A = b÷sinB = c÷sinC
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Cosine rule
a²= b² + c² - 2bc X cos A
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Rearranged Cosine Rule
cos A= b² + c² - a² ÷ 2bc
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Area of a Triangle
1/2 X ab X sin C
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Quadratic Equation
x= -b±√b²-4ac ÷2a
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Other cards in this set
Card 2
Front
Finding the Original Value
Back
Write the amount in the question as a percentage of the original value. Divide to find 1% of the original value. Multiply by 100 to give the original value (100%)
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