464 results for "rate".
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Question in MfEP Progress Quizzes
Simultaneous equations question. values for the coefficients are generated to be small numbers, random values are generated for the weights and the resultant energies are calculated for the question. Student needs to solve equations to find coefficients. Advice gives solution using method of elimination.
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Question in MfEP Progress Quizzes
Student needs to solve a quadratic equation to calculate time taken for a diver to hit the water after diving from a diving board. Height of the board and initial upward velocity of the diver are randomly generated values. student needs to know that surface of the water is height 0, and only positive root of quadratic has physical meaning. Question is set to always give one positieve and one negative root.
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Question in MfEP Progress Quizzes
Students are asked to solve two simulatineous linear equations in an application of mixing two liquids to arrive at a given final volume and concentration. Students are expected to write up working for their solution and upload it seperately. Final volume, final concentration and concentrations of each solution are randomised.
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Question in MfEP Progress Quizzes
Question asks student to find zeros of a quadratic equation. 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 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 MASH Bath: Question Bank
Solving a separable differential equation that describes the rate of decay of radioactive isotopes over time with a known initial condition to calculate the mass of the isotope after a given time and the time taken for the mass to reach $m$ grams.
Decay Constant - Radioactivity - Nuclear Power (nuclear-power.com)
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Question in MASH Bath: Question Bank
Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.
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Question in MASH Bath: Question Bank
Practicing skills required for sketching line graphs depicting the temperature of a mixture according to time. The question includes: a) choosing the accurate sketch from a list, and b) identifying the initial temperature of the mixture.
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Question in MASH Bath: Question Bank
Practicing skills required for sketching line graphs depicting DNA melting temperature according to the percentage of GC content. The question includes: a) identifying the vertical intercept, b) choosing the accurate sketch from a list, and c) interpreting elements of the sketch in context.
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Question in Skills Audits for Maths and Stats
Exchange rates.
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Question in Skills Audits for Maths and Stats
Using the various versions of $\cos{2x}$ identity to integrate $\sin^2{x}$ and $\cos^2{x}$.
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Question in Demos
Demonstrates how to display a plot generated in R.
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Question in Programming extension
Demonstrates how to display a plot generated in R.
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in How-tos
The student must solve a pair of simultaneous equations in $x$ and $y$.
The variables are generated backwards: first $x$ and $y$ are picked, then values for the coefficients of the equations are chosen satisfying those values.
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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
A random proper fraction $a/b$ with denominator in the range 2 to 30 is picked, and the student must write $\frac{a}{b} \pi$.
The point of this question is to demonstrate that the correct answer is shown as a multiple of $\pi$ rather than a decimal.
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Question in Engineering Statics
Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.
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Question in Learning, Debugging, Testing etc.
This demonstrates how to set xmin, ymin, xmax and ymax for an embedded geogebra diagram.
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Exam (17 questions) in Martin's workspace
Quiz designed to test integration of powers of x including negative powers, surds, fractions, etc.
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Question in Demos
This question shows how to display a plot generated in matplotlib from code written by the student.
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Question in Demos
Given a randomly-generated list, the student must write code to return its first value.
There's an alternative to check if they get the second item, which they might do if they don't realise Python lists are zero-indexed.
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Question in Christian's workspace
This is a deliberately easy question that I use for testing.
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Question in Odds and Ends
Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in degrees Celsius. Student must answer a question using the thermometer. The image is randomly selected from a pool of 4. There are two different potential questions for each thermometer. Hence 8 different questions in total.
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Question in Odds and Ends
Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in both degrees Celsius and degrees Fahrenheit. Student must answer a question using the thermometer. The image is randomly selected from a pool of 3. There are two different potential questions for each thermometer. Hence 6 questions in total.
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Question in Maura's workspace
This question tests students' ability to use repeated squaring to perform modular exponentiation. Moduli are random numbers between 30 and 70, the base is a number between 10 and 29. To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2.
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Question in Getallenleer 1e jaar
Kwadraten van 0 t.e.m. 15 oefenen.
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Question in Maura's workspace
A straightforward test of encrypting and decrypting an eight-letter message with the Vigenère Cipher using a four-letter key. Message letters are generated uniformly at random from the English alphabet, as are the key letters. Students are expected to be able to map English letters onto elements of $\mathbb{Z}_{26}$ in the usual order.
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Question in Maura's workspace
A straightforward test of encrypting and decrypting an eight-bit message with the Vernam Cipher. The message and the key are uniform and independently generated eight-bit strings.
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Question in Maura's workspace
A straightforward test of encrypting and decrypting an eight-letter message with the Substitution Cipher. Message letters are generated uniformly at random from the English alphabet and the key is a uniformly chosen random permutation of the alphabet. Students are expected to be able to map English letters onto elements of $\mathbb{Z}_{26}$ in the usual order.