Given the derivatives of a cubic function at a point, find the value of the function at another point.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Find angle and side in a right angled triangle.

rebelmaths

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.

Given percentages of males and females working on a project, and the percentage of the total staff who are male (or female), find the percentage of all staff working on the project.

Based on question 3 from section 3 of the maths-aid workbook on numerical reasoning.

Added to calculator test.

Added advice on using decimals.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

(Added a decimal version to advice - and changed increased to enlarged)

Used in non-calculator quiz.

Given the selling price of an item both as a cash amount and as a percentage of the cost of production, find the cost of production and the profit.

Based on question 1 from section 3 of the Maths-Aid workbook on numerical reasoning.

Added to Calculator test.

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Implicit differentiation.

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

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

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 the derivatives of a cubic function at a point, find the value of the function at another point.

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.

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

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

Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

Given percentages of males and females working on a project, and the percentage of the total staff who are male (or female), find the percentage of all staff working on the project.

Based on question 3 from section 3 of the maths-aid workbook on numerical reasoning.

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

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Finding x and y values for straight line graphs

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.

Practice finding parallel and perpendicular lines to a given line.

rebelmaths

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

In this question students are asked to find the asymptotes that are parallel to the $x-$ and $y-$axis.

In this question students are asked to find the asymptotes that are parallel to the $x-$ and $y-$axis.

In this question students are asked to find the asymptotes that are parallel to the $x-$ and $y-$axis.