Solving $\cos(nx)=a$ for $x\in (0,\pi)$, where $n$ is an integer and $a\in(0,1)$.

Factorise two algebraic terms that have a numerical gcd > 1. Part of HELM book 1.3

Factorise a 2-term expression by pulling out a numeric gcd. Part of HELM Book 1.3

Factorise a+bk where a and b are non-coprime integers, and k is a letter. Part of HELM Book 1.3.4

Expand something like a(b+c) or (b+c)a or a(bc), where a, b and c can be +ve or -ve expressions. Part of HELM Book 1.3

Expand a binomial. Part of HELM Book 1.3

Solving a pair of simultaneous equations of the form $a_1x+b_1y=c_1$ and $a_2 x^2+b_2y^2=c_2$ by forming a quadratic equation.

Solving a pair of simultaneous equations of the form $a_1xy=c_1$ and $a_2x+b_2y=c_2$ by forming a quadratic equation.

Calculation of max design capacities of reinforced concrete beams with and without shear links

No description given

This question asks students to solve a discrete logarithm problem with Pollard's rho algorithm as exposed in the book "introduction to cryptography with open source software" by McAndrew.

These are some questions on graph theory, pulled from a module on groups and graphs.

Use your calculator to calculate a factorial between 5 and 11

In parts (a) and (b) rearrange linear inequalities to make $x$ the subject.

In the parts (c) and (d) correctly give the direction of the inequality sign after rearranging an inequality.

Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.

Calculating the definite integral $\int_{n_1}^{n_2}ax^b dx$.

The purpose of this question is to test student's understanding of the Elliptic curves version of El Gamal encryption. It asks them to go through two steps: the publication of the public key, and the use of this public key to encrypt a message.

Solving a pair of linear simultaneous equations with integer solutions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

No description given

The purpose of this question is to ask students to decrypt a message encrypted with a Hill cipher.

No description given

No description given

No description given

A demonstration of embedding various kinds of media in a question.

Assessment for MEC2003

No description given

No description given

No description given