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Finding composite functions of a quadratic function and a logarithmic function.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown an unusual chart and asked one of six possible questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown a column graph and asked to calculate the net benefit given the amount invested (randomly generated) and the intervention type (one of seven possible).

Replace two parallel forces with an equivalent single force

Used for LANTITE preparation (Australia).SP = Statistics & Probability strand. NC = Non Calculator strand. Students are shown an infographic and asked two of five possible true/false questions.

This question asks students to identify trees.

This question asks students to find a spanning tree for simple undirected graphs.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. SP = Statistics & Probability strand. Students read a percentage from the chart, and calculate that percentage of the number of children (randomly generated).

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of people that are fed with 200g of rice (randomised), and the total number of people to be fed (randomised). They need to calculate the weight of rice using proportional reasoning.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of pages read (randomised) and number of pages remaining (randomised), and asked to write the proportion read as a simple fraction.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

A test of basic concepts to do with SI units and concentrations of solutions.

Finding the confidence interval at either 90%, 95% or 99% for the population variance of a sample. $\chi^2$ tables are used. A single scenario is given.

Fairly simple questions using differentiation "power rule" and "sum or difference rules" to differentiate single term functions and polynomials.

Some co-efficients and indices can be negative and/or fractional.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Students are asked to move an x-axis slider representing standard deviation on a normal distribution to make the area between (mean - slider value) and (mean + slider value) equal to a certain percentage. The 3 possible percentages correspond to the mean plus or minus 1, 2 or 3 standard deviations.

Friction

Students are asked to move an x-axis slider on a normal distribution to make the area to the left of the slider equal to a certain percentage. The 6 possible percentages correspond to the mean plus or minus 1, 2 or 3 standard deviations.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.

Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors. 

Given a generating matrix for a linear code, give a parity check matrix

Volume of a tetrahedron using integrals

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

Inputing Integrals tutorial