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Using Pythagoras' theorem to determine a non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

Finding surface area and volume, given formulae.

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient. By Newcastle University

Finding lengths of sides of triangles

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Find $\displaystyle I=\int \frac{2 a x +b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Finding areas under graphs using definite integration.

rebelmaths

Using trig identities to find solutions to equations

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Implicit differentiation including finding tangents

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Implicit differentiation including finding tangents

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Implicit differentiation including finding tangents

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Implicit differentiation including finding tangents

Implicit differentiation including finding tangents

Finding the stationary points of a cubic with two turning points

Given the original formula the student enters the transformed formula

Here you will find task for the 5. to 10. grade.

Here you will find task for the 5. to 10. grade.

Here you will find task for the 8. to 13. grade.

Here you will find task for the 1. to 7. grade.

Students are given a graph of a cubic, and are asked to find the equation for it.

Students enter equation and turning point