GCSE FORMULAE You need to know this for your exam (Higher tier only formulae are indicated) www.mathssandpit.co.uk/blog.

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Presentation transcript:

GCSE FORMULAE You need to know this for your exam (Higher tier only formulae are indicated)

AREA Rectangle = l × w l w

AREA Parallelogram = b × h b h a

AREA b h

AREA b h a

Circles Circumference = π × diameter C = πd Diameter

Circles Circumference = 2 × π × radius C = 2πr Centre Radius

Circles Area = π × radius × radius A = πr 2 Centre Radius

VOLUME h w

VOLUME Area of cross section

VOLUME r Cylinder = area of circle × height Cylinder = πr 2 h

VOLUME Higher tier only

COMPOUND MEASURES Speed = Distance ÷ Time The clue is in the units eg speed in m/s, indicates metres ÷ seconds

COMPOUND MEASURES Density = Mass ÷ Volume The clue is in the units eg density in g/cm 3, indicates weight in grams ÷ volume in cm 3

COMPOUND MEASURES Pressure = Force ÷ Area The clue is in the units eg speed in N/m 2, indicates force in Newtons ÷ area in m 2

RIGHT-ANGLED TRIANGLES Pythagoras a 2 + b 2 = h 2 (h is always the hypotenuse) h a b

RIGHT-ANGLED TRIANGLES Trigonometry hyp adj opp x⁰x⁰ Check your calculator is in degrees

NON-RIGHT-ANGLED TRIANGLES Sine Rule B C A Check your calculator is in degrees ab c Higher tier only

NON-RIGHT-ANGLED TRIANGLES Cosine Rule B C A Check your calculator is in degrees ab c Higher tier only

NON-RIGHT-ANGLED TRIANGLES Area of a triangle B C A Check your calculator is in degrees ab c Higher tier only

Algebra Quadratic Equations Higher tier only

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