Maths (Paper 1: Non-Calculator)
Area of a Trapezium - ANS (a + b) x 0.5 x h
\Area of a Triangle - ANS a x b x 0.5
(a and b = base and perpendicular height)
\Frequency Density - ANS Frequency/Class Width
\Gradient - ANS Change in Y/Change in X
\Parts of a Box Plot - ANS Lowest value, lower quartile, median, upper quartile, highest
value (all x axis)
\Parts of a Cumulative Freq. Graph - ANS Cumulative Freq. (y axis), data (x axis)
\Parts of a Histogram - ANS Freq. density (y axis), data *with class width* (x axis)
\Parts of Enlargement - ANS Enlargement to the scale factor ..... from point (x, y)
(SC 2 = double size, SC 0.5 = half size, SC -1 = opposite direction)
\Parts of Reflection - ANS Reflection along the line x = ... / y = ... / ... axis
("x = ..." = vertical, "y = ..." = horizontal)
\Parts of Rotation - ANS Rotation of ..... degrees, (anti)clockwise around point (x, y)
\Parts of Translation - ANS Translation to the vector (...)
(Top number = x axis, bottom number = y axis)
\Percentage Reduction - ANS x% reduction just means 100% - x%
E.g. 20% reduction from 50 = 80% x 50 (or 0.8 x 50)
\Probability always adds up to... - ANS ...1, x/x (e.g. 5/5) or 100%.
\Speed - ANS Distance/Time
\Types of Similar Triangles - ANS SSS, SAS, ASA, RHS
(S = Side, A = Angle, RHS = Right angle, Hypotenuse, Side)
\Types of Transformations - ANS Rotation, Reflection, Enlargement, Translation
\When estimating, round the number to... - ANS ... 1 significant figure (237 => 200, 0.025
=> 0.03)
\When working with mixed numbers, change it into... - ANS ...an improper fraction first.
x y/z => (xz + y)/y
so 2 4/5 => ((2 x 5) + 4)/5 => 14/5
\x^-y means... - ANS Reciprocal (x => 1/x) of x^y
E.g. 4^-2 = 1/(4^2) = 1/16
\x^(y/z) means... - ANS (z root of x)^y
Area of a Trapezium - ANS (a + b) x 0.5 x h
\Area of a Triangle - ANS a x b x 0.5
(a and b = base and perpendicular height)
\Frequency Density - ANS Frequency/Class Width
\Gradient - ANS Change in Y/Change in X
\Parts of a Box Plot - ANS Lowest value, lower quartile, median, upper quartile, highest
value (all x axis)
\Parts of a Cumulative Freq. Graph - ANS Cumulative Freq. (y axis), data (x axis)
\Parts of a Histogram - ANS Freq. density (y axis), data *with class width* (x axis)
\Parts of Enlargement - ANS Enlargement to the scale factor ..... from point (x, y)
(SC 2 = double size, SC 0.5 = half size, SC -1 = opposite direction)
\Parts of Reflection - ANS Reflection along the line x = ... / y = ... / ... axis
("x = ..." = vertical, "y = ..." = horizontal)
\Parts of Rotation - ANS Rotation of ..... degrees, (anti)clockwise around point (x, y)
\Parts of Translation - ANS Translation to the vector (...)
(Top number = x axis, bottom number = y axis)
\Percentage Reduction - ANS x% reduction just means 100% - x%
E.g. 20% reduction from 50 = 80% x 50 (or 0.8 x 50)
\Probability always adds up to... - ANS ...1, x/x (e.g. 5/5) or 100%.
\Speed - ANS Distance/Time
\Types of Similar Triangles - ANS SSS, SAS, ASA, RHS
(S = Side, A = Angle, RHS = Right angle, Hypotenuse, Side)
\Types of Transformations - ANS Rotation, Reflection, Enlargement, Translation
\When estimating, round the number to... - ANS ... 1 significant figure (237 => 200, 0.025
=> 0.03)
\When working with mixed numbers, change it into... - ANS ...an improper fraction first.
x y/z => (xz + y)/y
so 2 4/5 => ((2 x 5) + 4)/5 => 14/5
\x^-y means... - ANS Reciprocal (x => 1/x) of x^y
E.g. 4^-2 = 1/(4^2) = 1/16
\x^(y/z) means... - ANS (z root of x)^y
