A level Mathematics Exam
With answers
X^2 graph when coefficients are positive - answer-U shaped graph
Area of a trapezium - answer-1/2(a+b)h
Solving Quadratics with Unknowns - answer-Use the discriminant to structure another
quadratic & solve this
Solving Quadratic Inequalities - answer-Get zero on one side, Solve the Inequality,
Sketch & reason
"Less than" or "Greater than" is shown by what line on a graph? (strict Inequalities) -
answer-A dotted Line
A "less than or equal to" or vice versa is shown by what line on a graph? (not strict
inequalities) - answer-A solid Line
A vertical Reflection in the X axis: - answer-Y = -f(x)
A Horizontal reflection in the Y axis: - answer-y= f(-x)
Translation up A units - answer-y= f(x)+A
Translation left A units - answer-y=f(x+A)
Sketching from X axis by factor A - answer-y= A*f(x)
Sketching from Y-axis by factor 1/A - answer-y= f(Ax)
Shape of Positive cubic graph` - answer-Upwards slope, two bends
Shape of Negative Cubic Graph - answer-Downwards slope, two bends
Shape of Positive Quartic Graph - answer-"W" shape
Shape of Negative Quartic Graph - answer-"M" shape
graph of y=1/x - answer-2 curves, one in Positive X & Y, another in Negative X & Y.
, Graph of y= -1/x - answer-Opposite of y=1/x , 2 curves, one in postive y but negative x,
another in negative y but positive x
Graph of y= 3/X^2 - answer-2 reciprocal curves, both above the x axis, opposite to each
other
Graph of y= -1/x^2 - answer-2 reciprocal curve, both below x axis, opposite to each
other.
Equivalent angles of Sin(x) - answer-Sin(x) = Sin(180-x)
Equivalent angles of Cos(x) - answer-Cos(X) = Cos(360-x)
Sin & Cos repeat every... - answer-360 degrees
Tan repeats every... - answer-180 Degrees
Tan(θ) = - answer-Sin(θ)/Cos(θ)
Sin rule - answer-Sin(A)/a = Sin(B)/b
Cosine rule - answer-a² = b² + c² - 2bcCos(A)
Area of a triangle using Sin() - answer-1/2abSin(C)
1 is directly equivalent to... (the second trigonometric identity) - answer-Sin^2(theta) +
Cos^2(theta) = 1
the nCr equation - answer-n!/r!(n-r)!
A negative reciprocal of the gradient of a line gives the gradient of the... - answer-
Perpendicular line
Differentiating y= ax^n - answer-= nax^n-1
To find the gradient of a point on a curve - answer-Differentiate the equation of the
curve, then substitute the value of the point into this, then solve.
With answers
X^2 graph when coefficients are positive - answer-U shaped graph
Area of a trapezium - answer-1/2(a+b)h
Solving Quadratics with Unknowns - answer-Use the discriminant to structure another
quadratic & solve this
Solving Quadratic Inequalities - answer-Get zero on one side, Solve the Inequality,
Sketch & reason
"Less than" or "Greater than" is shown by what line on a graph? (strict Inequalities) -
answer-A dotted Line
A "less than or equal to" or vice versa is shown by what line on a graph? (not strict
inequalities) - answer-A solid Line
A vertical Reflection in the X axis: - answer-Y = -f(x)
A Horizontal reflection in the Y axis: - answer-y= f(-x)
Translation up A units - answer-y= f(x)+A
Translation left A units - answer-y=f(x+A)
Sketching from X axis by factor A - answer-y= A*f(x)
Sketching from Y-axis by factor 1/A - answer-y= f(Ax)
Shape of Positive cubic graph` - answer-Upwards slope, two bends
Shape of Negative Cubic Graph - answer-Downwards slope, two bends
Shape of Positive Quartic Graph - answer-"W" shape
Shape of Negative Quartic Graph - answer-"M" shape
graph of y=1/x - answer-2 curves, one in Positive X & Y, another in Negative X & Y.
, Graph of y= -1/x - answer-Opposite of y=1/x , 2 curves, one in postive y but negative x,
another in negative y but positive x
Graph of y= 3/X^2 - answer-2 reciprocal curves, both above the x axis, opposite to each
other
Graph of y= -1/x^2 - answer-2 reciprocal curve, both below x axis, opposite to each
other.
Equivalent angles of Sin(x) - answer-Sin(x) = Sin(180-x)
Equivalent angles of Cos(x) - answer-Cos(X) = Cos(360-x)
Sin & Cos repeat every... - answer-360 degrees
Tan repeats every... - answer-180 Degrees
Tan(θ) = - answer-Sin(θ)/Cos(θ)
Sin rule - answer-Sin(A)/a = Sin(B)/b
Cosine rule - answer-a² = b² + c² - 2bcCos(A)
Area of a triangle using Sin() - answer-1/2abSin(C)
1 is directly equivalent to... (the second trigonometric identity) - answer-Sin^2(theta) +
Cos^2(theta) = 1
the nCr equation - answer-n!/r!(n-r)!
A negative reciprocal of the gradient of a line gives the gradient of the... - answer-
Perpendicular line
Differentiating y= ax^n - answer-= nax^n-1
To find the gradient of a point on a curve - answer-Differentiate the equation of the
curve, then substitute the value of the point into this, then solve.
