Xiaodan Leng

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

rebelmaths

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

Integration by susbtitution, no hint given

Find the area under a porabola.

Find the area under a curve. The step is given.

No description given

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

Application of differentitaion in geology. A projectile problem.

A question to practise the following skills in the context of Earth Sciences:

• graph-reading skills
• using a graph to find the equation of a line
• used adpative marking

Calculate statistics from a table of unpaired data and conclude whether or not they are from the same underlying population and interpret the result.

Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even). 

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd). 

Given an equation or a worded formula determine if it is a function or not

A random graph is drawn and students are asked whether it represents a function or not.

Convert from degrees to radians

Convert from radians to degrees

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

Given a randomised rational function select the possible ways of writing the domain of the function.

Given a randomised log function select the possible ways of writing the domain of the function.

Shows how to retrieve the student's answer to another part from a custom marking script.

Given a randomised square root function select the possible ways of writing the domain of the function.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

Testing factorisation of quadratics.

Calculate the midpoint of two points.

Calculate the midpoint of two points.

Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

Solving inequalities that involve a quadratic and where the right-hand side is 0.