Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Calculate the functional value at a point.

Calculate capacity of rectangular tank, given its dimensions

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Calculate the percentage error in the area of a circle

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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 $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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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(Calculate the estimate, actual and the percentage error from these)

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(Calculate the estimate, actual and from these the percentage error)

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(Calculate the minimum and maximum approximations of an estimate)

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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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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the z-score.

Also find the 95% confidence interval for the population mean.

Calculate the expression $\frac{12}{4}a+\frac{3}{5}a$. One of the following is not correct, which one?

Given lengths in mm, find capacity in cm^3 and litres.

A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$

Calculate square root

Calculate efficiency

Statistics and probability. Questions asking student to calculate and interpret Pearson and Spearman correlation coefficients.

Given the cost to produce an item and a desired markup, calculate the appropriate sale price.

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.