The student is shown a diagram with a line between two points. They must make the line cross the axes at $x=1$ and $y=2$. They can drag the points around, or type a gradient in to move the points accordingly.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

Add, subtract, multiply and divide algebraic fractions.

This question shows how to pick a GeoGebra worksheet to show to the student from a list, based on the value of a question variable.

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

A simple question to find the roots of a quadratic. Using to test integration of NUmbas into Canvas.

Solving 2nd order differential equation for pendulum, with and without damping.

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Integrate the product of two functions by the method of integration by parts.

This is a formative assessment and your score is not recorded. This tests assess integration by substitution. You should be able to use the appropriate substution and then use the integral table.

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The student must enter a number in scientific notation, with separate boxes for significand and exponent. They only get the marks if both elements are correct.

Assesses multiplying numbers

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Statistics and probability. Two questions: using LSD and Tukey yardsticks.

These questions focus on using the 4 basic maths operations to answer numerical reasoning tests.

TEST RUN to create exam on fractions

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Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Using differentiation to find the tangent and normal to a line at a given point

Real life problems with differentiation