This question assesses

• the students ability to apply both theoretical and experimental probability to calculate expected values 
• the students understanding of how to calculate the relative frequency of an outcome

The question also helps to show students how using experimental probability and theoretical probability results in different expected values of an outcome.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

This question assesses the students ability to calculate and convert between different types of compound units, including rates of pay, speed and unit pricing.

Find the original price before a discount by dividing the new price by the percentage discount.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

No description given

Given an annual salary, tax allowance, tax rate and pension deduction, work out a person's take-home pay per month.

Given the stakes of three people in a lottery syndicate, and the amount the syndicate won, work out each person's share of the winnings.

Based on question 4 from section 3.2 of the Maths-Aid workbook on numerical reasoning.

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

Use a substitution to simplify an integral.

Several questions on rounding number and using approximations to estimate. Several real-world examples.

A demonstration of the random person extension, which picks representative names of people.

Integration by susbtitution. Use the letter C for the constant.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

No description given

Solving a quadratic equation of the form $ax^2+bx+c=0$.

A question made for the FYiMaths December meeting, to show off some of the more adventurous things you can do with Numbas.

Given random graph of cirlce, write locus in complex form. centre in 1st quadrant

Una partícula se proyecta hacia arriba de un plano rugoso a una velocidad dada. Dado el ángulo de la pendiente y el coeficiente de fricción, encuentre la distancia que recorre la partícula antes de llegar al reposo instantáneo.

Solve a trigonometric equation involving a conversion to tangent by division by cosine.

Friction

An exam set up to produce printed worksheets.

Given normal distribution $\operatorname{N}(m,\sigma^2)$ find $P(a \lt X \lt b),\; a \lt m,\;b \gt m$ and also find the value of $X$ corresponding to a given percentile $p$%. 

No description given

Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

Example of a dilution calculation involving mass concentration and molarity calculations.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.