316 results for "formula".
-
Question in Demos
The student is shown a plot of a mystery function. They can enter values of $x$ check, within the bounds of the plot.
They're asked to give the formula for the function, and then asked for its value at a very large value of $x$.
A plot of the student's function updates automatically as they type. Adaptive marking is used for the final part to award credit if the student gives the right value for their incorrect function.
-
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.
-
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.
-
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).
-
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.
-
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.
-
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.
-
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.
-
Question in Skills Audits for Maths and Stats
Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.
-
Question in Skills Audits for Maths and Stats
Rearrange a specific formula. No randomisation.
-
Question in MESH
The dimensions of a rectangle are given in m and cm. Compute the area or perimeter.
-
Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
The table uses the spreadsheet extension.
-
Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
There is also a plot of the points, which updates when the table is filled in, or the student can move the points to fill in the table.
The table uses the spreadsheet and JSXgraph extensions.
-
Exam (19 questions) in HELM books
HELM Book 1.5 Formulae and substitution exercises.
-
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.
-
Question in HELM books
Rearrange a linear formula au + bv + cw = d to make one of u,v,w the subject.
-
Question in HELM books
Choice of 2 formulae. The first is a fraction of the form y=(r+x)(1-rx). The second is of the form y=sqrt[(1-x)/(1+x) ]. Rearrange to make x the subject.
-
Question in HELM books
Rearrange a formula with a square root to make a variable under the root the subject.
-
Question in HELM books
Rearrange a complex formula involving squares, square roots, fractions and additions. This is a fixed question with no randomisation.
-
Question in HELM books
Rearrange a linear function in x and y to make y the subject. Line variables are randomised.
-
Question in HELM books
Transpose PV=RT to make a random variable the subject.
-
Question in HELM books
Given the formula for a cone or a cylinder, and values for r and h, find the volume.
-
Question in HELM books
evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.
-
Question in HELM books
Evaluate pi / (2r+s) given values for r and s (r>0, s positive or negative)
-
Question in HELM books
evaluate sqrt(x/z) where x and z are random positive decimals.
-
Question in HELM books
Compute P = 3/(QR) given values for Q and R.
-
Question in HELM books
HELM Book 1.5.1: using formulae and substitution: task 1
-
Question in Graphs and series
Given the original formula the student enters the transformed formula
Working 26_10_16
-
Question in Graphs and series
Given the original formula the student enters the transformed formula
-
Question in MASH Bath: Question Bank
Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.