Students are shown 4 exponential equations, and 4 graphs and asked to match them.

Students are asked to find either the initial production cost, or a gradient, or the break even point from a graph.
They are then asked to determine the profit or loss from the graph for the production of a particular number of units. This number is randomised.

Students are shown a line graph and asked to write the line equation.

The line is drawn in geogebra. m and b are randomised. 

The line equation is given as a fill-in-the-gaps, y = <gap>x + <gap>

Students are shown a graph of the value of a machine over time. The line equation is randomised.

They are asked to evaluate value at a given time, and the time at which a given value is reached. They are asked when the machine has no value, and the range of times over which the model is valid. They are also asked to explain the physical meaning of the gradient.

Students are given the equations of two lines in the form y=mx+b and asked if they are parallel.

The line equations are randomised.

The answer is yes or no. There is a 1 in 6 chance of the lines being parallel.

Students are given a parabola equation and 4 points. They need to determine which point lies on the parabola.

Students are given an exponential equation and asked to identify the y-intercept from a list of choices.

The constants in the exponential equation have been randomised.

Students are shown an exponential graph and asked to identify the equation from a selection of 4.

Students are given a hyperbolic graph and asked to select the correct equation from 4 choices.

Students are shown an exponential graph and asked to identify its equation from 4 choices.

The graph is randomised.

Student is shown a graph with a parabola and asked to identify the correct equation. Multiple choice question.

Students are shown a hyperbola and asked to identify its equation from 4 choices.

Students are given 4 parabola equations and their respective graphs and asked to match them.

Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

Students are given 4 equations for hyperbolas and 4 graphs and asked to match them.

Students are given the equation of a hyperbola and asked to identify the hyperbolic graph out of a set of 4 graphs.

Students are given an exponential equation and asked to evaluate it at two points.

The constants in the exponential are randomised.

Students are shown an exponential function formula and asked to identify the correct graph, given an exponential, a hyperbola, a parabola and a line.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x  \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.

Solving a separable differential equation that describes the population growth over time with a known initial condition to calculate the population after $n$ years. 

Integrating a polynomial functions which describe the rate of change of a population over time to find and use an equation that describes the total population according to time.

Solving a quadratic equation of the form $ax^2+bx+c=0$.

Solve a trigonometric equation

Solve a trigonometric equation involving a conversion to tangent by division by cosine.

No description given

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.

Topics: Trigonometeric equations and complex numbers
Students must complete the exam within 90 mins (standard time).
Questions have variables to produce randomised questions.

Trigonometric equations with degrees

Simple trig equations with radians