This question guides students through the process of determining the dimensions of a box to minimise its surface area whilst meeting a specified volume.

Linear combinations of $2 \times 2$ matrices. Three examples.

Fractions

Fractions

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

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Cofactors Determinant and inverse of a 3x3 matrix.

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.

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This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

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Nuclear Physics lesson self-assesment quiz.

Self-assesment test for holography lesson dveloped in the Stem(4)youth EU project

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

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Solve simple two step linear equations with feedback.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Units, conversions, decimal places and significant figures

Degree conversion

Questions about how the answer to a multiplication or a division is affected if you adjust the numbers involved. E.g. if you double the denominator, what happens to the answer.

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.

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Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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Differentiate $\displaystyle \ln((ax+b)^{m})$