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.

Finding speeds and impulses 

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.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

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 $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Finding a percentage of an amount.

Finding equivalent fractions, and expressing fractions in their simplest form.

Finding the numerators & denominators of 4 equivalent fractions.

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.

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

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.

Solving linear equations to find the value of x.

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

Finding speeds and impulses 

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Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Applying trigonometry to find heughts and lengths.

Students enter equation and turning point

Finding lengths of sides of triangles

Students enter equation and turning point

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.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.