David Rickard

A graph shows both the speed and acceleration of a car. Identify which line corresponds to which measurement, and calculate the acceleration during a portion of time.

Calculate the average speed in km/h and m/s given distance in kilometres and time in hours and minutes.

Convert from km to metres, km/h to m/s, rounding to whole numbers and sig fig.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

Compute a table of values for a quadratic function. The student input is now disconnected from the graph so that they slide the points on the graph after they input the values and the answer fields are not updated. Now includes a graph in advice.

Compute a table of values for a quadratic function. Calculate the slope and intercept of a line.

Substitute values into formulae for the area or volume of various geometric objects.

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Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

Given th original formula the student enters the transformed formula

READY TO USE

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

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

Small, simple question.

Calculate a speed in m/s given distance and time taken, then convert that to km/hour

Multiplication and division of upper and lower bounds.

Calculate a speed in m/s given distance and time taken, then convert that to km/hour

Convert a height given in feet and inches into cm and then metres.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

This question assesses the student's ability to use some given information involving two different units of measurement to rewrite the information as a compound measure.

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

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

Estimate the number of buckets of paint to buy, by rounding measurements of a room up to the nearest metre and estimating the total area.

Converting between giga, mega, kilo, base, milli and micro, nano. Metres, grams and litres.

Given a graph of some function $f(x)$ (a cubic), the student is asked to write the coordinates of the maximum and minimum points. The student then finds the maximum and minimum points of a second cubic function without using a graph, by finding the derivative, solving the quadratic equation that results from setting the derivative equal to zero, and finally testing the value of the second derivative.

Defines a CSS class in the preamble which styles the "Lemma" environment, used in the statement.

Order of precedence for multiplication, division, addition, subtraction.

rebelmaths

rebelmaths

rebelmaths

rebelmaths