Simultaneous equation problem as circuit analysis to find unknown voltages. Students need to solve the equations and type in the solutions for each variable. Advice is given in terms of solution by elimination.

Students are asked to solve two simulatineous linear equations in an application of mixing two liquids to arrive at a given final volume and concentration. Students are expected to write up working for their solution and upload it seperately. Final volume, final concentration and concentrations of each solution are randomised.

The proportion of the sodium carbonate, $p$, which has dissolved by time $t$ seconds is given by the formula $ p=\frac{bt-at^2}{c}$. The aim is to calculate the proportion of sodium carbonate in a solution at a given time and vice versa.

Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

The student must solve a pair of simultaneous equations in $x$ and $y$.

The variables are generated backwards: first $x$ and $y$ are picked, then values for the coefficients of the equations are chosen satisfying those values.

A hand truck on wheels.  Easiest to solve by rotating coordinate system.

Two forces act on a bell crank. This problem has two unknown magnitudes and an unknown direction which makes it tricky to solve by the equilibrium equation method.  

The solution is much simpler if three force body principle is used.

Copy the problem parameters into the handout provided and solve the Building Fabric heat loss problem by hand. Enter your answers into this quiz to get your score. Upload a copy of your written answer to the submission on Brightspace. Good Luck!

Classic problem of a vehicle parked on an incline.  Best solved by rotating the coordinate system.

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Rigid body equilibrium problem.  Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

Given an equation with variable x in the power on two different bases, students must solve for x. Hints are included in the question to aid the student as needed.

Given an equation where x is the base of a log term, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation involving x as a power on e, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.

Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.

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Solving an equation of the form $ax \equiv b\;\textrm{mod}\;n$ where $a$ and $n$ are coprime.

The students should solve a Blakley secret sharing scheme and find the secret.

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.

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

Solving a quadratic equation via factorisation, with the $x^2$-term having a coefficient of 1.

This question tests the student's ability to solve Integer Programming problems applying Population-based Metaheuristics.

This question tests the student's ability to solve Integer Programming problems applying Single State Metaheuristics.

This question tests the student's ability to model and solve Integer Programming problems by Branch and bound method

This question tests the student's ability to model and solve Integer Programming problems by Branch and bound method

This question tests the student's ability to solve Linear Programming problems by hand using the Simplex Method.

This question tests the student's ability to solve Linear Programming problems by hand using the Simplex Method.

This question tests the student's ability to model and solve Integer Programming problems

This question tests the student's ability to model and solve Integer Programming problems