Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 2hrs 30mins (extra time (1)).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

A demo of the match choices with answers part and its options.

A 'concept test' (no calculations) with 4 multiple-choice parts.

Characterise the cosh function as continuous, many-to-one, even, and find the limit as x approaches 1. Part of HELM book 2.4.3.

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

The CSS preamble adds a vertical line down the input for part b, to separate the two parts of the matrix.

Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.

A custom marking algorithm on the spreadsheet part changes it to interpret quantities in cells, so they can be compared to the expected answer.

In real use, you'd probably want more sophisticated logic, to give better feedback or to allow partial marks for different units, like the "quantity with units" part type does.

Do not use this: adaptive marking is the best way to access the student's answer to another part.

Shows how to retrieve the student's answer to another part from a custom marking script.

Integration by parts.

Integration by parts.

Integration by parts.

Integration by parts.

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

Homework set.  Problems involving two interacting particles.

Homework set.  Variations on problems involving single particle equilibrium.

This question asks the student to give a function with a particular root. It then asks them to divide by (x-{root}), and uses adaptive marking to mark against the previous answer.

This uses the "expression" data type, which is currently undocumented and experimental.

Rewrite the expression $\frac{cx+d}{(x+a)(x+b)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$.

Equilibrium of two interacting particles.

Pulley supported by a cable, so the tension in the rope is constant.    Advice is a youtube video showing how to solve the problem.

Find the tensions in two ropes supporting a weight.

Three random forces act on a particle.  Determine the force required for equilibirum.

Find reactions for a particle in equilibrium

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

Rewrite the expression $\frac{cx+d}{(x+a)^2}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{(x+a)^2}$.

Find the remainder when dividing two polynomials, by algebraic long division.