"Explain what is meant by the argument of a function."

Unmarked: Answer: "The argument is the input."

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

A custom marking algorithm picks out the names of the constants of integration that the student has used in their answer, and tries mapping them to every permutation of the constants used in the expected answer. The version that agrees the most with the expected answer is used for testing equivalence.

If the student uses fewer constants of integration, it still works (but they must be wrong), and if they use too many, it's still marked correct if the other variables have no impact on the result. For example, adding $+0t$ to an expression which otherwise doesn't use $t$ would have no impact.

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

Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

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.

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Student is shown a simple (randomised) function and asked to describe its behaviour. This is an information only question. Students need to view the advice to check their answer.

Two functions given in words. Write down the function definition. The numbers in the function definitions are randomised.

Given a function definition in words, evaluate the function with various variable and numeric inputs

HELM Book 1.5 Formulae and substitution exercises.

A difficult question that involves rearranging a complicated formula, then applying unit conversions to variable values, then evaluating the formula for the selected value. The variable values are randomised.

Rearrange an equation for a variable e in k.1/(1-e) and then evaluate for e, given values for the variables.

Rearrange a linear formula au + bv + cw = d to make one of u,v,w the subject.

Choice of 2 formulae. The first is a fraction of the form y=(r+x)(1-rx). The second is of the form y=sqrt[(1-x)/(1+x) ]. Rearrange to make x the subject.

Rearrange a formula with a square root to make a variable under the root the subject.

Rearrange a complex formula involving squares, square roots, fractions and additions. This is a fixed question with no randomisation.

Rearrange a linear function in x and y to make y the subject. Line variables are randomised.

Transpose PV=RT to make a random variable the subject.

Convert a random number of cubic metres into cubic centimetres

Convert a random value in square metres to square centimetres.

Given the formula for a cone or a cylinder, and values for r and h, find the volume.

Evaluate J = (1/2)Ma^2 for random values of M and a.

convert a random length in m to centimetres

evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.

Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.

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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!

Multiplication algorithm with integers

Multiplication algorithm with integers