1203 results for "use".
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Question in Demos
The student is shown a plot of a mystery function. They can enter values of $x$ check, within the bounds of the plot.
They're asked to give the formula for the function, and then asked for its value at a very large value of $x$.
A plot of the student's function updates automatically as they type. Adaptive marking is used for the final part to award credit if the student gives the right value for their incorrect function.
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Question in HELM books
Use parametric equations to find x for a given value of y. Part of HELM Book 2.2.2.
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Question in How-tos
This question models an experiment: the student must collect some data and enter it at the start of the question, and the expected answers to subsequent parts are marked based on that data.
A downside of working this way is that you have to set up the variable replacements on each part of the question. You could avoid this by using explore mode.
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Question in MfEP Progress Quizzes
Student is asked to find the distance from a given point, A, to a house, given the distance between A and another point B, and the angles at A and B. Requires use of the sine rule. Distance and angles are randomised.
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Question in MfEP Progress Quizzes
Student is asked to find the distance from a given point, B, to a house, given the distance between B and another point A, and the angles at A and B. Requires use of the sine rule. Distance and angles are randomised.
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Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\sin \frac{\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
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Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\cos \frac{7\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
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Question in MfEP Progress Quizzes
Students need to solve a quadratic equation and recognise that only the positive root has physical significance. Roots are randomised with one always negative and one positive. Equation can be factorised fairly easily or the quadratic formula can be used to find the solution. Advice gives solution by factorisation.
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Question in MfEP Progress Quizzes
Question requires students to determine if the smallest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the smallest angle and to know that smallest angle is oppositeshortest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
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Question in MfEP Progress Quizzes
Question requires students to determine if the largest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the largest angle and to know that largest angle is opposite longest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
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Question in MfEP Progress Quizzes
Students are given lengths of 3 sides of a triangle (all randomised) and asked to find one of the angles in degrees. Requires use of the cosine rule.
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Question in MfEP Progress Quizzes
Question asks students to find the time taken for an object thrown vertically upward from a platform to reach the ground. Set up randomly chooses environment to be on Earth, Mars or the Moon and uses appropriate acceleration due to gravity. The initial velocity of the body and height of the platform above the ground are randomly selected. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.
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Question in Skills Audits for Maths and Stats
Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.
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Question in Skills Audits for Maths and Stats
A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).
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Question in Skills Audits for Maths and Stats
This question is about identifying what types of charts or visual representations of data you can use for different data sets.
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Question in Programming extension
Shows how to use the programming extension's preload function to load files from the question resources into the Python or R code runners.
Look at the question's JavaScript preamble.
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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
Shows how to use JSXGraph to make a sine graph with amplitude, frequency and phase controlled by sliders.
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Question in How-tos
This shows how to define a list of LaTeX strings, and pick a couple of them at random to display.
The "JSON data" type is used to define the available strings, so they're automatically marked as "safe" and curly braces aren't interpreted as variable substitution.
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Question in How-tos
This question shows how to generate a random set of $(x,y)$ samples, where $y = mx + c + \mathrm{noise}$.
The JSXGraph extension is used to show a scatter plot of the data. This isn't necessary if you just want to generate the data.
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Question in How-tos
This shows how to use a variable name annotation to put a hat on a variable name inside the \simplify command.
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Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
There is also a plot of the points, which updates when the table is filled in, or the student can move the points to fill in the table.
The table uses the spreadsheet and JSXgraph extensions.
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Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
The table uses the spreadsheet extension.
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Question in How-tos
This question shows how to use the question's JavaScript preamble to request data from an external source, and use that data in question variables.
Note that this means the question only works when the external source is available. Use this very carefully, and avoid it if you possibly can!
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Question in How-tos
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".
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Question in How-tos
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.
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Question in How-tos
A custom marking algorithm picks out the names of the constants of integration that the student has used in their answer, and tries mapping them to every permutation of the constants used in the expected answer. The version that agrees the most with the expected answer is used for testing equivalence.
If the student uses fewer constants of integration, it still works (but they must be wrong), and if they use too many, it's still marked correct if the other variables have no impact on the result. For example, adding $+0t$ to an expression which otherwise doesn't use $t$ would have no impact.
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Question in Engineering Statics
Two forces act on a bell crank. This problem has two unknown magnitudes and an unknown direction which makes it tricky to solve by the equilibrium equation method.
The solution is much simpler if three force body principle is used.
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Exam (8 questions) in Demos
Some questions demonstrating how explore mode can be used.