Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

A copy of Amy Chadwicks block question, with adaptions to provide a diagram for the student.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

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A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Convert from degrees to radians

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

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Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

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Footballer expects to score in a/b matches.

A student selects a card from a deck of 52 and rolls a dice once.

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When throwing a dice once what is the probability of ....

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Algebra word problems using area and perimeter.

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Linear combinations of $2 \times 2$ matrices. Three examples.

Multiplication and addition of complex numbers. Four parts.

Simplify fractions involving the products of factorials.

$f(X)$ and $g(X)$ are polynomials over $\mathbb{Z}_n$.

Find their greatest common divisor (GCD) and enter it as a monic polynomial.

Hence factorize $f(X)$ into irreducible factors.

Factorising 5 to 7 digit numbers into a product of prime powers.

Uses the marking algorithms from question 1 of this CBA

Factorising algebraic expressions

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Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

A function which renders the factorisation of a number in LaTeX.

Sort a list of numbers into "prime" or "composite".