Calculate capacity of rectangular tank, given its dimensions

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Given the cost priceand profit margin, find the selling price

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A mass is resting on a rough plane. Given the angle of the plane and the mass of the object, find the normal reaction force and hence the coefficient of friction.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Given the cost and profit, find the selling price

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Gross wage, tax

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Solve for x and y on a given triangle and calculate the area

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Scores  in 20 games and frequency given -- calculate mean.

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Scores (including negatives)  in 20 games and frequency given -- calculate mean.

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Basic data structures and maths/stats functionality given.

You can configure the rest.

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(Calculating estimate and actual value of temperature using given formulas, and hence finding the percentage error)

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Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

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Calculate the annual interest rate for a savings account where A, P and n are given.

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An investment of €x invested today will give a return of €y in n years time Calculate the net present value (NPV) of the investment given that the discount rate is 3.5% per annum.

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An investment of x invested today will give a return of €y in n1 years time and a further €z n2 years from today. Calculate the net present value (NPV) of the investment given that the discount rate is perc% per annum.

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Given a table of the number of days in which sales were between £x1000 and £(x+1)1000 find the relative percentage frequencies of these volume of sales.

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Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

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Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Calculating net pay using cut off rates and tax credits. Calculating gross pay given tax information.

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Find angle and side in a right angled triangle.

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Finding surface area and volume, given formulae.

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Given th original formula the student enters the transformed formula

A particle is projected up a rough plane at a given speed. Given the angle of the slope and the coefficient friction, find the distance the particle travels before it comes to instantaneous rest.

Three forces act on a particle. You're given the magnitude of one, and the directions of all three. Find the magnitudes of the other two forces.

A mass is hanging from a string, tethered to two points. A horizontal force applied to the mass holds it directly underneath one of the points. Given the magnitude of the force, find the tension in the string and the mass of the bag.