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    8300

    AQA GCSE Maths Foundation Formula Sheet (8300)

    Free AQA GCSE Maths Foundation formula sheet: open the official AQA (8300) PDF plus all 28 formulas listed by topic, showing which 22 you must memorise.

    28

    Formulas listed

    22

    You must memorise

    6

    Given in the exam

    Official AQA Formulae Sheet (8300, Foundation)

    Official AQA PDF

    Open on AQA

    Geometry & Measures

    Area of a trapezium

    Given in exam
    A=12(a+b)hA = \dfrac{1}{2}(a + b)h

    Volume of a prism

    Given in exam
    V=area of cross-section×lengthV = \text{area of cross-section} \times \text{length}

    Circumference of a circle

    Given in exam
    C=2πr=πdC = 2\pi r = \pi d

    Area of a circle

    Given in exam
    A=πr2A = \pi r^2

    Area of a rectangle

    Memorise
    A=lwA = \text{lw}

    Area of a triangle

    Memorise
    A=12bhA = \dfrac{1}{2}bh

    Area of a parallelogram

    Memorise
    A=bhA = \text{bh}

    Volume of a cuboid

    Memorise
    V=lwhV = \text{lwh}

    Volume of a cylinder

    Memorise
    V=πr2hV = \pi r^2 h

    Cylinder is a special prism — sheet only gives the generic prism rule.

    Angles in a triangle

    Memorise
    a+b+c=180∘a + b + c = 180^\circ

    Angles on a straight line

    Memorise
    sum=180∘\text{sum} = 180^\circ

    Angles around a point

    Memorise
    sum=360∘\text{sum} = 360^\circ

    Angles in a quadrilateral

    Memorise
    a+b+c+d=360∘a + b + c + d = 360^\circ

    Pythagoras & Trigonometry

    Pythagoras' theorem

    Given in exam
    a2+b2=c2a^2 + b^2 = c^2

    Trigonometric ratios (SOHCAHTOA)

    Given in exam
    sin⁡A=ac, cos⁡A=bc, tan⁡A=ab\sin A = \dfrac{a}{c},\ \cos A = \dfrac{b}{c},\ \tan A = \dfrac{a}{b}

    Number

    Compound interest

    Memorise
    Amount=P×(1+r100)n\text{Amount} = P \times \left(1 + \dfrac{r}{100}\right)^n

    Not on the AQA formulae sheet — must be recalled.

    Simple interest

    Memorise
    Interest=Prt100\text{Interest} = \dfrac{Prt}{100}

    Percentage change

    Memorise
    % change=(changeoriginal)×100\%\text{ change} = \left(\dfrac{\text{change}}{\text{original}}\right) \times 100

    Probability & Statistics

    Mutually exclusive events (OR rule)

    Memorise
    P(A or B)=P(A)+P(B)P(A \text{ or } B) = P(A) + P(B)

    Not on the AQA formulae sheet.

    Mean of a data set

    Memorise
    mean=sum of valuesnumber of values\text{mean} = \dfrac{\text{sum of values}}{\text{number of values}}

    Probability of an event NOT happening

    Memorise
    P(not A)=1−P(A)P(\text{not }A) = 1 - P(A)

    Independent events (AND rule)

    Memorise
    P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

    Only for independent events.

    Coordinate Geometry

    Equation of a straight line

    Memorise
    y=mx+cy = \text{mx} + c

    m = gradient, c = y-intercept.

    Gradient between two points

    Memorise
    m=y2−y1x2−x1m = \dfrac{y_2 - y_1}{x_2 - x_1}

    Ratio & Rates

    Speed

    Memorise
    speed=distancetime\text{speed} = \dfrac{\text{distance}}{\text{time}}

    Density

    Memorise
    density=massvolume\text{density} = \dfrac{\text{mass}}{\text{volume}}

    Pressure

    Memorise
    pressure=forcearea\text{pressure} = \dfrac{\text{force}}{\text{area}}

    Algebra

    Nth term of an arithmetic sequence

    Memorise
    an=a+(n−1)da_n = a + (n - 1)d

    a = first term, d = common difference.

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