583 results for "calculate".
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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
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 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
Using basic derivatives to calculate the gradient function of a hill $y=-e^{x}+b\ln{\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea.
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Question in MASH Bath: Question Bank
Knowing the half-life of Carbon-14 and the initial mass of Carbon-14 when a tree was cut (a) write an expression that describes the relationship between the remaining mass and time, (b) calculate the remaining mass after $t$ years, and (c) given the remaining mass calculate how many years ago the tree was cut down.
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Question in MASH Bath: Question Bank
Knowing the doubling time of a population and the population on day $t$, calculate the initial population and the number of days required for the population to reach a threshold.
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Question in MASH Bath: Question Bank
The relationship between the frequency of an allele A, $x$, at a genetic locus in a diploid population and the fitness of a population with this frequency of allele A, $w$, is described by the function $w=ax^2+x(b-x)+c(b-x)^2$ . The aims are (a) ti simplify the algebraic expression, (b) calculate the fitness of a population with a given allele A frequency, and (c) calculate the allele A frequency when the fitness of the population is given.
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Question in MASH Bath: Question Bank
The proportion of the sodium carbonate, $p$, which has dissolved by time $t$ seconds is given by the formula $ p=\frac{bt-at^2}{c}$. The aim is to calculate the proportion of sodium carbonate in a solution at a given time and vice versa.
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Question in Skills Audits for Maths and Stats
Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.
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Question in Skills Audits for Maths and Stats
Calculate one number as percentage of another.
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Question in Skills Audits for Maths and Stats
Given a student discount, calculate a discounted price.
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Question in Skills Audits for Maths and Stats
Calculate the percentage increase (as a percentage) given a number and the size of the increase.
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Question in Skills Audits for Maths and Stats
Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.
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Question in Skills Audits for Maths and Stats
Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.
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Question in Skills Audits for Maths and Stats
Substitute values into an algebraic expression and calculate the result.
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Question in Skills Audits for Maths and Stats
Calculate an answer involving a fractional index.
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Question in Skills Audits for Maths and Stats
Calculate probability of selecting coloured counters from a bag.
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Question in Skills Audits for Maths and Stats
Calculate an intersection probability given a two way table.
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Question in Skills Audits for Maths and Stats
This question provides a list of data to the student. They are asked to find the "median".
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Question in Skills Audits for Maths and Stats
This question provides a list of data to the student. They are asked to find the "range".
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Question in Skills Audits for Maths and Stats
Calculating the Mean from a basic list of integers.
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Question in Skills Audits for Maths and Stats
This question provides a list of data to the student. They are asked to find the "mode".
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Question in Skills Audits for Maths and Stats
Calculate the change from a note given two costs.
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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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The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period -
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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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 CHY1201 - SpectroscopyQuestion requires students to themselves calculate how many electrons are in the conjugated system for the molecules included in this question. As is standard for applications of the "particle in a box" model, the embedded assumption is that one electron is donated to the pi-system by each carbon within the conjugated chain. Students instructed to assume that there are 22 conjugated electrons in Beta-carotene.