Calculate the functional value at a point.

Calculate the functional value at a point.

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

This shows how to take an expression given by the student and plot the implicit curve of points where it equals zero.

Calculating the derivative of a function of the form $\frac{(x-a)^2}{bx}$, finding its stationary points and determining their nature.

Given the position vectors of three 2-dimensional points $A$, $B$ and $C$, find the coordinates of a fourth point $D$ such that $ABCD$ forms a parallelogram. 

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Given a point and a line, determine the distance between them.

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

Homework set.  Find internal shear force, normal force, and bending moment at a designated point in a rigid body.

This question asks you to place a point on a number line. The number is not an integer.

Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.

Taken from question 37 of the book Problem Solving in GCSE Mathematics by Daniel Griller.

Given bearings and lengths of two straight lines, work out the bearing and distance back to the starting point.

A Eukleides diagram shows the setup visually.

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Finding the stationary points of a cubic equation and determining their nature.

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

Calculate the midpoint of two points.

Calculate the midpoint of two points.

Identifying y=mx+b given two points

Given one point and the gradient determine the equation of the line.

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Calculating the derivative of a function of the form $\frac{(x-a)^2}{bx} + c$, finding its stationary points and determining their nature.

Drag a point into the specified quadrant. Uses jsxgraph