A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

Rounding practice to given decimal places and significant figures.

Given a number evaluate simple power, negative power, to one half.

The function randexp, provided by an extension, generates a random string matching the given regular expression.

This exercise will help you rearrange a linear equation to find the value of a given variable

This exercise will help you rearrange a linear equation to find the value of a given variable

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.

Finding surface area and volume; formulae not given.

Finding equation of a straight line graph and a parallel line through a given point.

Given two ordered sets of vectors $S,\;T$ in $\mathbb{R^5}$ find the reduced echelon form of the matrices given by $S$ and $T$ and hence determine whether or not they span the same subspace.

Basic calculation exercise using distance, mpg and cost per litre (with the conversion factor for gallons to litres given).

Based on a generic test QTS question.

Given value of x^(1/n), x^(-1/n) find x.

Given amounts of ingredients for n cakes, given list of ingredients for m.

Given the original formula the student enters the transformed formula

Students are given a graph of a cubic, and are asked to find the equation for it.

Students are given a graph of a cubic, and are asked to find the equation for it.

Given a number evaluate simple power, negative power, to one half.

A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

Find the acceleration, distance moved and magnitude of the normal reaction of a particle being pulled along a rough horizontal plane.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

Two particles collide. Given the masses and final speeds of the particles, as well as the impulse imparted on each, find their initial speeds.

Find the area of a triangle where all three coordinates of the vertices are given.

Calculation of area & circumference of circle, given its radiua.

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

Use the Impulse-Momentum principle to find the change in speed of an object after a constant force is applied for a given period of time.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$ to determine if the block will move when three different magnitudes of force act on the block horizontally.

Given th original formula the student enters the transformed formula

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