Reading a value from a histogram.

Find the tension required to hold a pole at a specified angle.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

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Order of Operations

rebelmaths

Use Matlab (or Python) to fit a cubic polynomial to data, and determine where the x-axis is crossed.

Finding the zero of a non-polynomial function

Widget Sales

Draw Shear and Bending Moment Diagrams for a cantilever beam with two forces and a concentrated moment load.

This question asks the student to give a function with a particular root. It then asks them to divide by (x-{root}), and uses adaptive marking to mark against the previous answer.

This uses the "expression" data type, which is currently undocumented and experimental.

Write a loop in,e.g., Matlab or Python to determine terms in a sequence.

Find principal stresses by finding the eigenvalues of the matrix

Issues: alignment in columns in the working - not sure what to do about it

Decimal divided by a decimal. Multiply by a power of ten to get an integer divisor. Long and short division process. There is a remainder which we express as a decimal by continuing the division process. Rounding is required to some number of decimal places.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Calculating the amount of money in a savings account after a given amount of time, and calculating how long it will take for the amount of savings to exceed a given value. 

Solve linear equations with one unknown. Including brackets and fractions.

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

Rewrite the expression $\frac{cx+d}{(x+a)(x+b)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$.

Simplifying expressions from $\frac{x^mx^n}{x^p}$ to $x^{m+n-p}$. 

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

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No description given

Question requires students to interchange units of Hz with MHz, GHz, THz. Question is not very efficient at present- frequencies spanning many orders of magnitude are generated by variables in a clumsy way. Could be improved by having frequency generated by a 10^((random(1000..4000)/1000) variable instead, for example. 

No description given

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Find the sum of two couples in a plane.