Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

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.

Questions on powers, the laws of indices, and exponential growth.

This question aims to test understanding and ability to use the laws of indices.

Given a number evaluate simple power, negative power, to one half.

Homework set.  Identify zero force members and utilize special loading conditions to simplify trusses.

2x2 by ad-bc, 3x3 by Laplace expansion, properties of determinants

Multiplication of square and non square matrices, Identity matrices and zero matrices

Practice using the log rules to add and subtract logarithms

No description given

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Straight line graph formula

Calculate the functional value at a point.

Calculate the functional value at a point.

This exercise will help you rearrange a linear equation to find the value of a given variable

Factorising polynomials using the highest common factor

Simplifying algebraic expressions

A 'concept test'.  3 multiple choice questions about a graphed normal distribution curve modelling IQ data.

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

No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

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

True/false question type to assess basic knowledge of confidence intervals.

Modulus and argument of a single complex number $z=z_1/z_2$, where $\mathrm{Re}(z_1)=\mathrm{Im}(z_1)$ and $\mathrm{Re}(z_2)=-\mathrm{Im}(z_2)$.

Calculation of modulus, argument, multiplication by complex conjugate, given two complex numbers.

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.