Finding the resistance in a simple parallel RL circuit.

Finding the inductance in a simple series RL circuit.

Finding the inductive current in a simple parallel RL circuit.

Finding the current in a simple parallel RL circuit.

Finding the resistive voltage in a simple series RL circuit.

The student is shown a circuit diagram with three logic gates. It's always in the form (a OP b) OP (b OP c).

They have to fill in a truth table for the circuit. There is a step which expands the truth table, adding a column for each of the first two gates.

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

Multiple choice: select the correct (mxn) representation of the sizes of various matrices.

Calculating the derivative of a function of the form $(ax+b)^n$ using the chain rule.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

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Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Simple exercise in collecting terms in different powers of \(x\)

Calculate the product of two 3D vectors in column notation.

Find the cross product of 2D vectors (WARNING: requires scalar answer (magnitude only))

Calculate the dot products of (a) two 2D vectors and (b) two 3D vectors.

Part 1: multiply a 3D vector by an integer scalar
Part 2: perform scalar multiplication and subtraction in one expression with two 3D vectors

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Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.

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Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Reading a value from a simple bar chart.