600 results for "variable".
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Question in Bases matemáticas
Evaluación de una expresión algebraica con dos variables
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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.
The student's values of the variables width, depth and height are stored once they move on from the first part.
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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
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
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
Simultaneous equation problem as circuit analysis to find unknown voltages. 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
A two part question. Students are first given the formula for the time for a ball to come to rest after being dropped on a block. Part a) asks the students to rearrange the formula to make e, the coefficient of restitution, the subject of the formula. Part b) gives students realistic values for variables in the formula and asks them to calculate the coefficient of restitution using the formula derived in part a).
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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
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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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
Subtracting a decimal with 3 decimal places from a decimal with 2 or 3 decimal places. borrowing is necessary. This was modified from a subtraction question using integers with each number divided by 1000 so the variables have names referring to ones, tens, hundreds etc.
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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
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 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
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 HELM books
Give f(x)=ax^2+b a simple function input (like 6x-3) and evaluate. Constants and variables, and the function input are all randomised.
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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 HELM books
Given a function definition in words, evaluate the function with various variable and numeric inputs
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Question in HELM books
A difficult question that involves rearranging a complicated formula, then applying unit conversions to variable values, then evaluating the formula for the selected value. The variable values are randomised.
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Question in HELM books
Rearrange an equation for a variable e in k.1/(1-e) and then evaluate for e, given values for the variables.
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Question in HELM books
Rearrange a linear formula au + bv + cw = d to make one of u,v,w the subject.
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Question in HELM books
Rearrange a formula with a square root to make a variable under the root the subject.
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Question in HELM books
Rearrange a linear function in x and y to make y the subject. Line variables are randomised.
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Question in HELM books
Transpose PV=RT to make a random variable the subject.
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Question in HELM books
evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.
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Question in HELM books
Simplify (qx+a)/(rx+b) +/- (sx+c)/(rx+b)^2
x is a randomised variable. a,b,c,d,q,r are randomised integers.
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Question in HELM books
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.