Practice questions: Core 2
You can see below a collection of questions which will help you practise essential skills. If you are logged in, the last column will show your success rate in your last five attempts at each question. This is a great way to make sure that you master all the important skills.
| Question | Description | Last 5 |
| Algebra | ||
|---|---|---|
| Polynomial division | Practise dividing a polynomial by a linear polynomial | |
| Factorising polynomials | Factorise a polynomial using the factor theorem and polynomial division | |
| Remainder theorem | Use the remainder theorem to find an unknown coefficient in a polynomial | |
| Remainder and factor theorems | Use the remainder and factor theorems to find unknown coefficients in a polynomial | |
| Coordinate Geometry | ||
| Finding the equation of a circle | Given its diameter, find the equation of a circle. | |
| Rearranging the equation of a circle | Rearrange the equation of a circle to find the coordinates of its centre and its radius. | |
| Trigonometry | ||
| Sine and cosine rule | Find the value of a missing side in a scalene triangle using the sine or the cosine rule. | |
| Simple trigonomic equation | Solve a simple trigonomic equation. | |
| Trigonomic equation with transformation | Solve a trigonometric equation of the form e.g. sin(ax + b) = 0.5. | |
| Quadratic trigonometric equation | Solve a quadratic trigonometric equation. It seems difficult at first but it is always the same method. | |
| Sequences | ||
| Binomial expansion | Expand a binomial expression. | |
| Using the binomial expansion to estimate a power. | Expand a binomial expression and use your result to estimate the value of a power. | |
| Calculus | ||
| Finding stationary points | Given the equation of a curve, find its stationary points and their nature. | |
| Definite integration | Calculate a definite integral. | |
| Area under a curve | Calculate the area under (or above) a curve. | |
| Area between two graphs | Calculate the area between two curves. |
