323 results for "between".
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
and 1 other
Given f(x)=(x+b)n. Find the gradient and equation of the chord between (a,f(a)) and (a+h,f(a+h)) for randomised values of a, b and h.
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No description given
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Calculate the midpoint of two points.
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A calculator to convert between Roman coin denominations: you specify how many of a denomination you've got, and what denomination you want to convert to, and it shows you the
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Question in Discrete Mathematics
This question aims at getting the students to demonstrate their ability to apply the Euclidean algorithm to find the GCD between two numbers.
We provide two randomly generated numbers and ask the students to enter the steps of the Euclidean algorithm, as well as the GCD between the numbers.
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Graphing exponentials with a base between 0 and 1 and no transformations take place.
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Given a point and a line, determine the distance between them.
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Question in Bill's workspace
Paired t-test to see if there is a difference between times take in a task.
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Converting between giga, mega, kilo, base, milli and micro, nano. Metres, grams and litres.
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Converting between metres (m) and centimetres (cm).
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Converting between kilo, base, milli and micro. Grams, litres and metres.
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Most of the standard prefixes (not hecto, deca though), abbreviations, powers of 10, converting between prefixes for distance, capacity, mass.
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Question in MESH
Student is presented with a clock showing a random time (in 15 minute increments) with an idication of whether it is morning or afternoon, along with a scheduled meeting time (in 24 hour mode). Question asks them to calculate difference between times and whether they are early or late.
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Question in Maura's workspace
This question tests students' ability to use repeated squaring to perform modular exponentiation. Moduli are random numbers between 30 and 70, the base is a number between 10 and 29. To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2.
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Question in MfEP Progress Quizzes
An application of quadratic functions based on the Golden Gate Bridge in San Francisco, USA. Student is given an equation representing the suspension cable of the bridge and asked to find the width between the towers and the minimum height of the cable above the roadway. Requires and understanding of the quadratic function and where and how to apply correct formulae.
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Characteristic poly, eigenvalues and eigenvectors 3x3, digonailsability (non-randomised) Ready to useQuestion in Ugur's workspace
Example of an explore mode question. Student is given a 3x3 matrix and is asked to find the characteristic polynomial and eigenvalues, and then eigenvectors for each eigenvalue. The part asking for eigenvectors can be repeated as often as the student wants, to be used for different eigenvalues.
Assessed: calculating characteristic polynomial and eigenvectors.
Feature: any correct eigenvalue will be recognised by the marking algorithm, even multiples of the obvious one(s) (which can be read off from the reduced row echelon form)
Randomisation: Not randomised, just using particular matrices. I am still working on how to randomise this for 3x3; a randomised 2x2 version exists. I have several different versions for 3x3 (not all published yet), so I could make a random choice between these in a test.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".
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Question in Ugur's workspace
Given 5 vectors in R4 determine if a spanning set for R4 or not by looking for any simple dependencies between the vectors.
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Question in MASH Bath: Question Bank
The question includes a quadratic graph depicting the relationship between the frequency of an allele A at a genetic locus in a diploid population and the fitness of a population with this frequency of allele A. The aim is to estimate the maximum and minimum fitness of the population and the corresponding frequency of allele A.
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Question in HELM books
Given a circle with radius between 2 and 6 units, students are given a set of 8 points and asked to identify whether they are on, inside or outside the circle locus.
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Question in MfEP Progress Quizzes
This question asks students to find the distance from an aircraft to a given marker. Angle of depression of 2 markers from the aircraft are given and the distance between the markers on the ground (all randomised). Students need to use the sine rule to find the answer. The workding of the question makes googling the answer difficult.
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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
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 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=ax2+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 Skills Audits for Maths and Stats
Convert numbers between 0 and 1 intro standard form/scientific notation.
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Question in Skills Audits for Maths and Stats
Identify the truth value of an inequality (T/F) between two numbers
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Question in Skills Audits for Maths and Stats
Unit conversion between two compound units.
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Question in Discrete Mathematics
Asks students to apply laws of logical equivalence to prove the equivalence between two logical statements. The quiz should accept any correct answer (as long as each step is included, with one law per step), and provides detailed feedback on mistakes.
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Question in MESH
Convert between improper fractions and mixed numerals
