This question asks you to identify a point on a graph.

This question asks you to place a point on a number line.

This question allows you to practice plotting points on graphs.

This question allows you to practice placing points on a number line.

This question allows you to practice identifying points on graphs.

This question allows you to practice identifying points on graphs.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.

Graphs are given and students are required to match them with their equation.

Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

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Rearranging a formula

Some questions that use the quantities extension to handle units.

Asks the student to add two single-digit numbers, one of which might be negative.

This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.

Quadratic equation

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Unit conversion

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Apply and combine logarithm laws in a given equation to find the value of $x$.

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Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.