Students are given a formula for compound interest and asked to evaluate it for given initial investment values.

No description given

No description given

Derive the expressions for the shear and bending moment as functions of $x$ for a cantilever beam with a uniformly varying (triangular) load.

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

No description given

Filling in the table of powers of ten.

No description given

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x  \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.

Solving a separable differential equation that describes the population growth over time with a known initial condition to calculate the population after $n$ years. 

Integrating a polynomial functions which describe the rate of change of a population over time to find and use an equation that describes the total population according to time.

Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

No description given

No description given

No description given

No description given

No description given

No description given

Este es el ejercicio interactivo de la semana 2. Aprenderemos el la relación que existe entre una distribución de carga eléctrica y el flujo de campo eléctrico a través de una superficie denominada superficie Gaussiana. Esto es de vital importancia para comprender las actividades requeridas con el uso de nuestro laboratorio virtual

No description given

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

• using a data set to deduce a linear relationship
• using the graph to make predictions

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

Given the probabilities that each of four out of five friends will win a round of mini-golf, work out the probability that the fifth friend won't win, then use that to find the probability that they will win.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Given a student discount, calculate a discounted price.

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.