Alexander Corner

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land$.

For example $\neg q \to \neg p$.

Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land,\;\to$.

For example $\neg q \to \neg p$.

A question to test understanding of set cardinality and intersections when limited information is known about the size of certain sets.

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A question which asks students to encrypt a number using RSA, then to factor a small public key and find the decryption exponent.

Basic fraction arithmetic, giving answers in lowest form.

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Short question to test encoding some random binary strings using repetition and parity bit. Randomised 5-bit strings.

A question that will allow students to check their understanding of the Caesar Cipher by encrypting a short message given a random key. May be updated with a decryption task later.

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A simple exercise requiring the calculation of the modulus and argument of complex numbers.

Short question in recognising errors in binary strings transmitted over a binary symmetric channel, as well as calculating probabilities of these errors occuring. Randomised 7-bit strings between 64 and 128, randomised probability between 0.05 and 0.1. Randomised error pattern.

Some basic tests of adding, scaling, and multiplying matrices.

Matrix by scalar and matrix by matrix multiplication exercises.

Matrix by scalar and matrix by matrix multiplication exercises.

Gentle intro to modular arithmetic through quotients and remainders

Introductory exercise about set equality

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Try to solve some simultaneous equations using matrix inverses.

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Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

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