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• Question

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

• Question

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.

• Question

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

• Question

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.

• Question

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

• Question

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

• Question

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a negative gradient.

• Question

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function, which allows the student to check their answer against the graph before submitting.

This particular example has a 0 gradient.

• Question

Manipulate surds and rationalise the denominator of a fraction when it is a surd.

• Question

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

• Question

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

• Question

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

• Prime numbers
Has some problems
Question

Sort a list of numbers into "prime" or "composite".

• Question

Two trains arrive at the same platform with different periods. Compute the LCM of the two periods to find the time they clash.

This is a context question testing the student's ability to identify the lowest common multiple of two integer values which are not multiples of each other.

• Vectors
Needs to be tested
Exam (2 questions)

Questions which ask the student to intepret vector diagrams in order to write out the components in terms of base vectors. Also addition and subtraction of vectors and vector magnitude.

• Question

This question introduces base vectors i and j and asks the student to interpret a JSXGraph diagram to write four vectors in terms of the base vectors. Further parts ask the student to add vectors and find a magnitude.

• Question

This question asks the student to interpret a JSXGraph diagram to write three vectors in terms of the base vectors. Each vector has both a horizontal and vertical component. Further parts ask the student to add vectors and find a magnitude.

• Question

Fill in a frequency table for grouped data, then estimate the mean and identify the modal class.

• Transformation - Translation
Has some problems
Question

Describe a given linear transformation as a vector in Cartesian coordinates.

• Question

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

• Question

Given some numbers in standard index form, convert to decimal form.

• Question

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

Small, simple question.

• Question

Multiply two numbers in standard form, then divide two numbers in standard form.

• Laws of Indices
Question

This question aims to test understanding and ability to use the laws of indices.

• Question

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

• Expansion of brackets
Question

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

• Question

Multiplication and division of upper and lower bounds.

• Exam (3 questions)

Apply formulas to calculate the areas of various shapes.

• Exam (2 questions)

Questions on adding, subtracting, multiplying and dividing numbers in standard form.

• Question

Add two numbers in standard form, then subtract two numbers in standard form.