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

Evaluate pi / (2r+s) given values for r and s (r>0, s positive or negative)

Compute P = 3/(QR) given values for Q and R.

Calculate R = ap^2 for given positive values of a and p.

evaluate the function y=ax+b for given values of a,b and x, each of which may be positive or negative.

Given 2 or 3 fractions such as A/(2x+5), add them.

There are 5 possible versions.

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.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Given the original formula the student enters the transformed formula

Working 26_10_16

Given the original formula the student enters the transformed formula

3D equilibrium of a particle problem.  Rectangular steel plate supported by three cables, dimensions and density given.

Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.   

In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

The student must write R code to assign the given value to the variable x.

Given an unknown list, the student must write Python code to create a copy of it.

There's an alternative to catch the case where the student's variable is just a reference to the original list.

Given an unknown list, the student has to write code to return the last item in the list.

Given a randomly-generated list, the student must write code to return its first value.

There's an alternative to check if they get the second item, which they might do if they don't realise Python lists are zero-indexed.

Given 32 datapoints in a table find their minimum, lower quartile, median, upper quartile, and maximum.

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

rebelmaths

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\cos\theta$ given $\sin\theta$ and the quadrant theta is in.