716 results for "random".
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Question in HELM books
Identify the gradient and y-axis intercept of a random non-vertical line.
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Question in HELM books
Given one of ax+b, a/x, x^(1/a), a, is it a straight line. a is a randomised integer.
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Question in HELM books
Evaluate a composition of functions for a randomised numerical input. The functions are 3t+2 and t+3. This is part of HELM Book 2.1.3.
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Question in HELM books
Given f(x)=(x+a)/(x+b) and g(x) = 1/x, compute f(g(x)) and g(f(x)).
a and b are randomised integers.
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Question in HELM books
Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value
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Question in HELM books
Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)
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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 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
Two part question, student has to rearrange the heat flow formula (stated in the question) to make T_1 or T_2 the subject (variable is chosen randomly), then find the value of this variable when values of the other variables in the formula are given. These values are randomly chosen.
Note that the advice for this question has two versions, the one displayed to the student depends on which variable is selected by the question.
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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
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 Peter's workspace
Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.
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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
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 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 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 Skills Audits for Maths and Stats
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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Question in Skills Audits for Maths and Stats
Match the graphs to the functions. No randomisation. Multiple choice.
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Question in Skills Audits for Maths and Stats
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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Question in Skills Audits for Maths and Stats
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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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
Simplify (qx+a)/(rx+b) +/- (sx+c)/(tx+d)
x is a randomised variable. a,b,c,d,q,r,s,t are randomised integers. a,b,c,d run from -5 to 5, including 0. q,r,s,t run from -3 to 3, and can be 0 if the constant term is nonzero, but are mostly 1.
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Question in Skills Audits for Maths and Stats
Rearrange a specific formula. No randomisation.
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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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Question in Julie's workspace
Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
rebelmaths
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Question in MESH
Round random numbers to the closest whole number, 1, 2 or 3 decimals places.
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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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Exam (1 question) in How-tos
There's one question, which you have to get right 5 times in a row. If you get it wrong, you have to start again.
This makes more sense if the question is randomised!