6418 results.
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Exam (3 questions) in HELM books
Exercises for HELM Book 2.5.1
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Question in How-tos
The student has to enter `diff(y,x,2)`, equivalent to $\frac{\mathrm{d}^2y}{\mathrm{d}x^2}$, as their answer. It's marked by pattern matching, using a custom marking algorithm.
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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
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
Simultaneous equation problem as circuit analysis to find unknown currents. Students need to solve the equations and type in the solutions for each variable. Advice is given in terms of solution by 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
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 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
This question is an application of a quadratic equation. Student is given dimensions of a rectangular area, and an area of pavers that are available. They are asked to calculate the width of a border that can be paved around the given rectangle (assuming border is the same width on all 4 sides). The equation for the area of the border is given in terms of the unknown border width. Students need to recognise that only one solution of the quadratic gives a physically possible solution.
The dimensions of the rectangle, available area of tiles and type of space are randomised. Numeric variables are constructed so that resulting quadratic equation has one positive and one negative root.
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Question in Toby's workspace
Edit the Python code to make a 3D plot of a surface defined parametrically.
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Question in Toby's workspace
Plot the Fourier series coefficients for a piece-wise linear function. Write a Python script to reproduce the same figure.
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Exam (4 questions) in Toby's workspace
Some examples of interactive plots illustrating mathematical concepts, supported by Python exercises.
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Question in Programming extension
Demonstrates how to display a plot generated in R.
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Question in MATH6006 - Engineering Maths 102
Partial differentiation question with customised feedback to catch some common errors.
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Exam (5 questions) in J45X 34 Statistics for Business
No description given
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Question in Martin's workspace
No description given
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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 Numbas Tut
Calculate the heat losses from a model building based on the U values, dimensions and other parameters specified. In addition calculate the annual running costs and payback period for improvements to the building Fabric.
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Question in Alexander's workspace
No description given
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Exam (1 question) in Alexander's workspace
No description given
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rebelmaths
Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Exam (53 questions) in MESH
A set of practice questions for primary teaching students studying Mathematical Patterns and Relationships
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Question in Julie's workspace
Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.
rebelmaths
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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 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
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.