1715 results for "given".
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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
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
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 given two angles and the length of the side between them, they are asked to find the length of the side opposite angle A. Can be completed with the ine 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
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
Using given information to complete the equation $c= A \cos{ \left( \frac{2 \pi}{P} \left( t-H \right) \right) }+V $ that describes the concentration, $c$, of perscribed drug in a patient's drug over time, $t$. Calculating the maximum concentration and the concentration at a specific time.
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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
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
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 MASH Bath: Question Bank
Interpreting line graphs depicting the melting temperature of DNA depending on the percentage of GC content. Estimating the melting temperature given a GC percentage and vice versa.
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Question in MASH Bath: Question Bank
Interpreting line graphs depicting the decrease of temperature in a mixture over time. Estimating the temperature of the mixture at a given time point 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
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
Round numbers to a given number of significant figures.
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Question in Skills Audits for Maths and Stats
Round numbers to a given number of significant figures.
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Question in Skills Audits for Maths and Stats
Round numbers to a given number of decimal places.
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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
Finding the area of a circle when given the diameter of the circle.
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Question in Skills Audits for Maths and Stats
Evaluating a linear function for a given value of $x$.
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Question in Skills Audits for Maths and Stats
Basic calculation from a sum given in Sigma notation.
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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
Calculate the change from a note given two costs.
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Question in Julie's workspace
Application of the Poisson distribution given expected number of events per interval.
Finding probabilities using the Poisson distribution.
rebelmaths
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Question in NCL MAS2707
The student is given a connected graph and must find a minimum spanning tree.
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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