12770 results.
-
Question in MfEP Progress Quizzes
Question asks student to find zeros of a quadratic equation. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.
-
Question in MfEP Progress Quizzes
Question asks students to find the time taken for an object thrown vertically upward from a platform to reach the ground. Set up randomly chooses environment to be on Earth, Mars or the Moon and uses appropriate acceleration due to gravity. The initial velocity of the body and height of the platform above the ground are randomly selected. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.
-
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.
-
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.
-
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)
-
Question in MASH Bath: Question Bank
Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.
-
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.
-
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.
-
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.
-
Question in MASH Bath: Question Bank
Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.
-
Question in MASH Bath: Question Bank
Finding the stationary point (maximum) of a quadratic equation in a contextualised problem.
-
Question in MASH Bath: Question Bank
Calculating the gradient of a quadratic equation at a specific point and finding the stationary point (maximum) in a contextualised problem.
-
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 MASH Bath: Question Bank
Estimating the proportion of sodium carbonate in a solutionat a specific timepoint and vice versa, depicted as a quadratic graph.
-
Question in MASH Bath: Question Bank
Practicing skills required for sketching line graphs depicting the temperature of a mixture according to time. The question includes: a) choosing the accurate sketch from a list, and b) identifying the initial temperature of the mixture.
-
Question in MASH Bath: Question Bank
Practicing skills required for sketching line graphs depicting DNA melting temperature according to the percentage of GC content. The question includes: a) identifying the vertical intercept, b) choosing the accurate sketch from a list, and c) interpreting elements of the sketch in context.
-
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.
-
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.
-
Exam (20 questions) in Demos
Some questions to show off features of Numbas, linked from the Numbas homepage.
-
Question in Skills Audits for Maths and Stats
Calculations involving Standard form.
-
Question in Skills Audits for Maths and Stats
Convert numbers between 0 and 1 intro standard form/scientific notation.
-
Question in Skills Audits for Maths and Stats
Convert numbers greater than 1 into standard form/scientific notation.
-
Question in Skills Audits for Maths and Stats
Dividing amounts in ratios
-
Question in Skills Audits for Maths and Stats
Picking a ratio out of a list that is not equivalent to the others.
-
Question in Skills Audits for Maths and Stats
Proportional calculation in context.
-
Question in Skills Audits for Maths and Stats
Convert a fraction into a decimal.
-
Question in Skills Audits for Maths and Stats
Convert a decimal to a fraction.
-
Question in Skills Audits for Maths and Stats
Convert a percentage to a fraction.
-
Question in Skills Audits for Maths and Stats
Put fractions in size order.