MASH Bath: Question Bank

Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $\frac{1}{b}$, for integers $a$, $b$, $m$ and $n$.

Simplifying expressions from $\left(\frac{x^m}{x^n}\right)^p$ to $x^{(m-n)p}$.

Simplifying expressions from $(ax^n)^m$ to $a^mx^{mn}$, where $a$, $m$ and $n$ are positive integers.

No description given

Finding composite functions of a quadratic function and a logarithmic function.

Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.

Calculating the missing side-length of a triangle using the cosine rule.

Given two angles and a side-length of a triangle, use the sine rule to calculate an unknown side-length.

Solving a differential equation of the form $\frac{dy}{dx}=\frac{ax^n}{y}$ using separation of variables.

Solving a differential equation of the form $\frac{dy}{dx}=axy^2$ using separation of variables.

Solving a differential equation of the form $\frac{dy}{dx}=axy$ using separation of variables.

Calculating the integral of a function of the form $4ax(ax^2+b)^n$ using integration by substitution.

Calculating the angle between two vectors.

Integrating a function of the form $\frac{a}{x}$ using a table of integrals / anti-derivatives.

Given the exchange rate between two currencies, calculate how much of one currency you will get for $x$ amount of the other

Given the exchange rate between two currencies and the bank's commission rate, calculate how much of one currency you will get for $x$ amount of the other

Given the ratio of copper to zinc in brass, calculate how much more copper than zinc is used to create a given amount of brass.

Used for chemistry/materials

Given the ratio of male to female gym members, calculate how many more women than men use the gym

Calculating the nutritional values of cereal as percentages of servings and RDAs

Calculating the revenue distribution of two phone providers for different countries in Europe

Calculating a salesperson's income based on years of service and commission from sales

Given x and y, calculate (x-y) as a percentage of y.  Chemistry context.

Calculating the original amount when told that $p\%$ is $x$. The value given can be non-integer.

Calculating the original amount when told that $p\%$ is $x$. The value given and the original values are both integers.

Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate one number as percentage of another.

Writing one number as a percentage of another.

Questions testing understanding of the precedence of operators using BIDMAS applied to integers.

No description given

Calculate P(A|B) given a Venn diagram.