Skills Audits for Maths and Stats

Calculations with negative numbers.

Calculations with negative numbers.

Applying the order of operators.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Multiples, factors, lowest common multiples and highest common factors.

Number sequences - find a missing number

Identify the truth value of an inequality (T/F) between two numbers

Division resulting in decimals in the context of a dose per hour.

Whole number division in a context of number of tablets per day based on a tablet size and a daily prescribed amount.

Calculate the change from a note given two costs.

Find the volume of a prism with a trapezium as a cross section from a diagram.

Find the volume of a semicylinder from a diagram.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Finding the area of a circle when given the diameter of the circle.

Match the graphs to the functions. No randomisation. Multiple choice.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$. 

Rewriting a trigonometric expression of the form $A\sin(\theta)-B\cos(\theta)$ to $R\sin(\theta-\alpha)$ by calculating $R$ and $\alpha$.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Find the diagonal or one side of a rectangle using Pythagoras' theorem.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Find the missing angle in a triangle using the fact that the angles add to 180 degrees.

Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.

Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.

Using the various versions of $\cos{2x}$ identity to integrate $\sin^2{x}$ and $\cos^2{x}$.