Test whether a student knows the monotonic sequence theorem.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

This quiz contains questions on algebraic fractions, logarithmic equations, exponential equations, quadratic equations and simultaneous equations.

Writing ratios in the form n:1 or 1:n

Scaling up ratios.

Introductory exercise about subsets using custom grading code.

The expression $p\Rightarrow q\Rightarrow r$ is ambiguous.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Laplace from tables: e^(at), cos(bt), sin(bt).

rebelmaths

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There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

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Identifying equivalent ratios

Multiplication of $2 \times 2$ matrices.

This question will help you practice converting between fractions and percentages

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

Calculating distance, speed and time

Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

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

Cofactors Determinant and inverse of a 3x3 matrix.

Questions about writing simple ratios from raw amounts.

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Ratio Questions

Graphing $y=ab^{\pm x+d}+c$

Graphing $y=ab^x+c$

Integration by susbtitution, no hint given

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Graphing $y=a\log_{b}(\pm x+d)+c$

Apply partial diffenetiation in a geology problem.