169 results for "system".
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Question in MESH
Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.
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Question in MESH
Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.
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Question in How-tos
In the first part, the student must write any linear equation in three unknowns. Each distinct variable can occur more than once, and on either side of the equals sign. It doesn't check that the equation has a unique solution.
In the second part, they must write three equations in two unknowns. It doesn't check that they're independent or that the system has a solution. The marking algorithm on each of the gaps just checks that they're valid linear equations, and the marking algorithm for the whole gap-fill checks the number of unknowns.
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Question in How-tos
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 gap-fill with two number entry gaps. The gaps have a custom marking algorithm to allow an empty answer. The gap-fill 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 CHY1201 - SpectroscopyQuestion requires students to themselves calculate how many electrons are in the conjugated system for the molecules included in this question. As is standard for applications of the "particle in a box" model, the embedded assumption is that one electron is donated to the pi-system by each carbon within the conjugated chain. Students instructed to assume that there are 22 conjugated electrons in Beta-carotene.
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Question in Engineering Statics
A hand truck on wheels. Easiest to solve by rotating coordinate system.
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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 CC-0
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Question in Engineering Statics
Replace two forces with a equivalent force-couple system at a specified point.
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Question in Engineering Statics
Find the rectangular (scalar) components of a force for two coordinates systems.
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Question in Chris's workspace
No description given
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Exam (8 questions) in LANTITE (Numeracy)
No description given
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Exam (12 questions) in .Differential CalculusDesigned to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Question in Robert's workspace
demo of system
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Exam (4 questions) in Engineering Statics
Homework set. Find statically equivalent systems of forces.
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Question in Engineering Statics
Replace two parallel forces with an equivalent single force
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Question in Engineering Statics
Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.
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Exam (12 questions) in .Differential CalculusDesigned to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Exam (12 questions) in .Differential CalculusDesigned to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Question in Engineering Statics
Find the tensions is a system of cables supporting two loads.
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Exam (2 questions) in 01621
Here you'll see a first example of how a map can arise from a system of differential equations and gain some first insight into the dynamics of 1D maps.
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Question in Jane's workspace
No description given
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Exam (1 question) in Jane's workspace
No description given
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Exam (8 questions) in Jane's workspace
No description given
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Question in Threshold Test 4 - Matrices
No description given
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Exam (6 questions) in Content created by Newcastle University
This is out of date. There is a new "getting statrted" exam at https://numbas.mathcentre.ac.uk/exam/21108/getting-started/
6 questions which introduce the user to the Numbas system.
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Exam (2 questions) in Andrew's workspace
Using Gaussian Elimination to solve 3X3 systems of equations
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Question in Andrew's workspace
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Introductory question where the numbers come out quite nice with not much dividing. Set-up is meant for formative assessment. Adapated from a question copied from Newcastle.
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Question in Andrew's workspace
Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Introductory question where the numbers come out quite nice with not much dividing. Set-up is meant for formative assessment. Adapated from a question copied from Newcastle.
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Question in Engineering Statics
Determine the single force which is equivalent to a force and a couple.
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Question in Julia Goedecke's contributions
Educational calculation tool rather than "question".
This allows the student to input a linear system in augmented matrix form (max rows 5, but any number of variables). Then the student can decide to swap some rows, or multiply some rows, or add multiples of one row to other rows. The student only has to input what operation should be performed, and this is automatically applied to the system. This question has no marks and no feedback as it's just meant as a "calculator".
It has some rounding to 13 decimal places, as otherwise some fraction calculations become incorrectly displayed as a very small number instead of 0.
It would be possible to extend to more than 5 rows, one just has to put in a lot more variables and so on. I just had to choose some place to stop.