This exercise will help you rearrange a linear equation to find the value of a given variable

given trig function applied to tides. students need to find max depth, time of low tide and times between which a boat of given depth can use the port.

given trig equation. find period, amplitude and phase shift

given plot of a graph. find amplitude, period and phase shift

solve trig equation involving sin2x=2sinxcosx in a given interval

solve trig equation involving a translation in given internval. with worked solutions

Solve trig equation in a given internval with stretch and worked solutions

Solving cosx in given interval. With random variation and worked solutions.

Solving sinx in given interval. With random variation and worked solutions.

Solving tanx in given interval. With random variation and worked solutions.

The student is shown a diagram containing a single point at the origin. They must move the point to the given integer coordinates.

The student is shown a diagram containing a line between two points. They're given a gradient and $y$-intercept.

They must manipulate the line or the points so that the line has the given gradient and $y$-intercept.

Given the moment of inertia of an area about an arbitrary axis, find the centroidal moment of inertia and the moment of inertia about a second axis.

This question provides practise on calculatin ga ratio from data given in a table.

These questions focus on finding a ratio (or fraction) from the information given.

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Using differentiation to find the tangent and normal to a line at a given point

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

Given vector $\boldsymbol{v}$  find the norm. Since putting in square roots is tricky, actually input the square norm, so it's an integer.

Given vector $\boldsymbol{v}$  find the norm. Since putting in square roots is tricky, actually input the square norm, so it's an integer.

Checking whether a given set is a plane or not. Depends on whether two vectors are parallel or not. Then checking whether the plane goes through the origin. This is not always obvious from the presentation.

Not randomised because it's the same as in our workbook.

Checking whether a given set is a plane or not. Depends on whether two vectors are parallel or not. Then checking whether the plane goes through the origin. This is not always obvious from the presentation.

Not randomised because it's the same as in our workbook.

Checking whether a given set is a plane or not. Depends on whether two vectors are parallel or not. Then checking whether the plane goes through the origin. This is not always obvious from the presentation.

Not randomised because it's the same as in our workbook.

Student can choose one of all possible matrix products from the matrices given. Meant for voluntary extra practice. No extensive solutions: referred to other questions for this.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

rebelmaths

5 questions on  confidence intervals and hypothesis testing. Population variance given, z-test. Not given, t-test.

A question designed to demonstrate the exam-level variable overrides feature. The student must work out the median of a given sample. The exam can override size of the sample, the range of numbers to pick, and whether the sample should be shown to the student in increasing order.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Given an ascending sequence of numbers, finds the index in the sequence of the first number greater than or equal to a given value.