467 results for "which".
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Question in MASH Bath: Question Bank
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 acts in the positive $x$ and positive $y$ direction.
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Question in MASH Bath: Question Bank
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.
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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This is out of date.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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Question in MASH Bath: Question Bank
Identifying which graph shows the function $y=\frac{x-a}{x+b}$
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Question in MXB241 Weekly Quizzes
No description given
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Question in 1010ENG/1201SCG Complex numbers
Practice MCQ to decide which quadrant a complex number lies in.
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Question in Musa's workspace
Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions.
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Question in Musa's workspace
Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.
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Question in Musa's workspace
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.
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Question in MXB241 Weekly Quizzes
No description given
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Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).
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Question in Content created by Newcastle University
Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.
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Question in T's workspace
English sentences which are propositions are given and for each the appropriate proposition involving quantifiers is to be chosen.
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Question in Julia Goedecke's contributions
Example of an explore mode question. Student is given a 3x3 matrix and is asked to find the characteristic polynomial and eigenvalues, and then eigenvectors for each eigenvalue. The part asking for eigenvectors can be repeated as often as the student wants, to be used for different eigenvalues.
Assessed: calculating characteristic polynomial and eigenvectors.
Feature: any correct eigenvalue will be recognised by the marking algorithm, even multiples of the obvious one(s) (which can be read off from the reduced row echelon form)
Randomisation: Not randomised, just using particular matrices. I am still working on how to randomise this for 3x3; a randomised 2x2 version exists. I have several different versions for 3x3 (not all published yet), so I could make a random choice between these in a test.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".
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Question in Algebra
Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even).
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Question in Algebra
Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd).
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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 Engineering Statics
Solve for an angle which will result in equilibrium for a triangle subjected to three couples. A trial and error solution is recommended.
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Question in Julia Goedecke's contributions
Student finds a basis for kernel and image of a matrix transformation. Any basis can be entered; there is a custom marking algorithm which checks if it is a correct basis.
There are options to adjust this question fairly easily, for example to get different variants for practice and for a test, by changing the options in the "pivot columns" in the variables. You should be careful to think about and test your pivot options, as some are easier or harder than others, and some don't work very well.
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Question in Julia Goedecke's contributions
Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution, which is the interesting part of this implementation.
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Question in Julia Goedecke's contributions
Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Randomized size of the matrices and formula.
The interesting part about the implementation is the way the output is generated for "Advice".
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Question in NCL MAS2707
The student is shown two labelled graphs. They are asked:
- Number of vertices in each
- Number of edges in each
- Degree sequences for each
- Is there an isomorphism between them? If so, write one.
The number of vertices is always equal, so this is a gimme.
If the edges or degree sequences are different, the student is expected to realise that there cannot be an isomorphism.
If these values are the same, then there will be an isomorphism (else the question is a bit too tricky).
Numbas expects a particular isomorphism, but there may be more than one, all of which would be accepted.
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Exam (8 questions) in Martin's workspace
A variety of trigonometric equations which can be solved using inverse operations.
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Question in NCL MAS2707
Consider a binary tree with $2^n$ nodes.
We give generators for the isomorphisms of the tree: at each non-leaf vertex, swap the branches descending from that node.
- What is the action of a given word?
- Write a word which produces the required isomorphism
- Which generators commute?
- What is the order of each generator?
- Write one of the (non-root) generators in terms of the others.
- Which permutations of the leaves are possible?
- What is the order of the group of isomorphisms?
- What is the order of the quotient group obtained by identifying all the leaves of one branch?
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Question in ACFI1003Find the present value of a share which returns a constant dividend (similar to a perpetuity)
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Question in Louise's workspace
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.
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Question in MESH
Given a total budget and the cost of each sale for three different scenarios, which scenario produces the most sales?
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Question in .Algebra
A function which renders the factorisation of a number in LaTeX.
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Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
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Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.