12534 results.

Question in HELM books
Simplify (qx+a)/(rx+b) +/ (sx+c)/(tx+d)
x is a randomised variable. a,b,c,d,q,r,s,t are randomised integers. a,b,c,d run from 5 to 5, including 0. q,r,s,t run from 3 to 3, and can be 0 if the constant term is nonzero, but are mostly 1.

Question in HELM books
Simplify ax/b +/ cx/d, where x is a randomised variable, and a,b,c,d are randomised integers.

Question in HELM books
Add two algebraic fractions. Part of HELM Book 1.4.3.

Question in HELM books
6 Exercises from HELM Book 1.4 Part 2: Multiplication and Division of Algebraic Fractions.

Question in HELM books
Part of HELM Book 1.4.2

Question in Engineering Statics
Classic problem of a vehicle parked on an incline. Best solved by rotating the coordinate system.
Image Credit: https://svgsilh.com/image/34325.html CC0

Question in Christian's workspace
The student is asked to calculate a division by the method of long division, which they should enter in a grid.
The process is simulated and the order in which cells are filled in is recorded, so the marking feedback tries to identify the first cell that the student got wrong, or should try to fill in next.
They're asked to give the quotient as a plain number in a second part, to check that they can interpret the finished grid properly.

Exam (8 questions) in Demos
Some questions demonstrating how explore mode can be used.

Question in Engineering Statics
Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Question in Engineering Statics
Rigid body equilibrium problem. Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

Question in Learning, Debugging, Testing etc.
Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

Question in MESH
Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Question in Howtos
The student is asked to give the roots of a quadratic equation. They should be able to enter the numbers in any order, and each correct number should earn a mark.
When there's only one root, the student can only fill in one of the answer fields.
This is implemented with a gapfill with two number entry gaps. The gaps have a custom marking algorithm to allow an empty answer. The gapfill considers the student's two answers as a set, and compares with the set of correct answers.
The marking corresponds to this table:
There is one root There are two roots Student gives one correct root 100% 50%, "The root you gave is correct, but there is another one." Student gives two correct roots impossible 100% Student gives one incorrect root 0% 0% Student gives one incorrect, one correct root 50% "One of the numbers you gave is not a root". 50% "One of the numbers you gave is not a root". Student gives two incorrect roots 0% 0% 
Question in Howtos
Should not be used: this relies on a custom JavaScript which is not guaranteed to continue working.
Wrap the student's answer in
set()
so it's marked as a set. 
Question in Alice's workspace
No description given

Question in Alice's workspace
Drag points on an axis to plot a linear graph (integer gradient and intercept only)

Question in Howtos
The number entry part in this question has an alternative answer which is marked correct if the student's number satisfies an equation specified in the custom marking algorithm.

Question in Demos
Shows how the "give a number which satisfies an equation" part type can be used to makr the student's number correct if it satisfies an equation of the form $f(x) = 0$.

Question in Demos
Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.

Question in Getallenleer 1e jaar
rebelmaths

Exam (3 questions) in Getallenleer 1e jaar
No description given

Question in Howtos
This question shows how explore mode can be used to loop through several versions of the same question. The variables for each version are stored in a list of "scenarios", and a counter works through that list each time the student moves on to the next part, labelled "try the next version of this question".

Question in TingYing's workspace
No description given

Question in Alice's workspace
No description given

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

Exam (11 questions) in Demos
Some questions which use JSXGraph to create interactive graphics.

Question in Demos
This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

Question in Content created by Newcastle University
Directional derivative of a scalar field.

Question in Questions for Open Resource Library
Given an equation with variable x in the power on two different bases, students must solve for x. Hints are included in the question to aid the student as needed.

Question in Alexander's workspace
Basic fraction arithmetic, giving answers in lowest form.