Resources tagged with: Biology

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There are 59 results

Broad Topics > Cross-curricular Contexts > Biology

Mixing Ph

Age 16 to 18
Challenge Level

Use the logarithm to work out these pH values

Blood Buffers

Age 16 to 18
Challenge Level

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

Extreme Dissociation

Age 16 to 18
Challenge Level

In this question we push the pH formula to its theoretical limits.

Why Multiply When You're about to Divide?

Age 16 to 18
Challenge Level

A brief introduction to PCR and restriction mapping, with relevant calculations...

Catalyse That!

Age 16 to 18
Challenge Level

Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?

Core Scientific Mathematics

Age 14 to 18
Challenge Level

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

Ph Temperature

Age 16 to 18
Challenge Level

At what temperature is the pH of water exactly 7?

Dilution Series Calculator

Age 14 to 16
Challenge Level

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

Is Your DNA Unique?

Age 16 to 18
Challenge Level

Use combinatoric probabilities to work out the probability that you are genetically unique!

Predator - Prey Systems

Age 16 to 18
Challenge Level

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

Genetic Intrigue

Age 16 to 18

Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying. . . .

Stats Statements

Age 16 to 18
Challenge Level

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Chemnrich

Age 14 to 18
Challenge Level

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

Drug Stabiliser

Age 16 to 18
Challenge Level

How does the half-life of a drug affect the build up of medication in the body over time?

Ratios and Dilutions

Age 14 to 16
Challenge Level

Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions

Population Dynamics Collection

Age 16 to 18
Challenge Level

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

Approximately Certain

Age 14 to 18
Challenge Level

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Reaction Types

Age 16 to 18
Challenge Level

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Neural Nets

Age 16 to 18

Find out some of the mathematics behind neural networks.

Exact Dilutions

Age 14 to 16
Challenge Level

Which exact dilution ratios can you make using only 2 dilutions?

Mixed up Mixture

Age 14 to 16
Challenge Level

Can you fill in the mixed up numbers in this dilution calculation?

Mathematical Issues for Biologists

Age 16 to 18
Challenge Level

STEM students at university often encounter mathematical difficulties. This articles highlights the 8 key problems for biologists.

Chi-squared Faker

Age 16 to 18
Challenge Level

How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?

Investigating the Dilution Series

Age 14 to 16
Challenge Level

Which dilutions can you make using only 10ml pipettes?

Choose Your Units

Age 14 to 16
Challenge Level

Which units would you choose best to fit these situations?

Real-life Equations

Age 16 to 18
Challenge Level

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Bigger or Smaller?

Age 14 to 16
Challenge Level

When you change the units, do the numbers get bigger or smaller?

The Genes of Gilgamesh

Age 14 to 16
Challenge Level

Can you work out the parentage of the ancient hero Gilgamesh?

Very Old Man

Age 16 to 18
Challenge Level

Is the age of this very old man statistically believable?

Population Ecology Using Probability

Age 16 to 18
Challenge Level

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

Branching Processes and Extinction

Age 16 to 18
Challenge Level

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

Population Dynamics - Part 6

Age 16 to 18
Challenge Level

Sixth in our series of problems on population dynamics for advanced students.

Population Dynamics - Part 4

Age 16 to 18
Challenge Level

Fourth in our series of problems on population dynamics for advanced students.

Population Dynamics - Part 3

Age 16 to 18
Challenge Level

Third in our series of problems on population dynamics for advanced students.

Population Dynamics - Part 2

Age 16 to 18
Challenge Level

Second in our series of problems on population dynamics for advanced students.

Population Dynamics - Part 1

Age 16 to 18
Challenge Level

First in our series of problems on population dynamics for advanced students.

A Question of Scale

Age 14 to 16
Challenge Level

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Population Dynamics

Age 16 to 18
Challenge Level

This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.

Alternative Record Book

Age 14 to 18
Challenge Level

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Population Dynamics - Part 5

Age 16 to 18
Challenge Level

Fifth in our series of problems on population dynamics for advanced students.

Robot Camera

Age 14 to 16
Challenge Level

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

Fitting Flat Shapes

Age 16 to 18
Challenge Level

How efficiently can various flat shapes be fitted together?

Graphic Biology

Age 16 to 18
Challenge Level

Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

Bionrich

Age 14 to 18
Challenge Level

bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your. . . .

Packing 3D Shapes

Age 14 to 16
Challenge Level

What 3D shapes occur in nature. How efficiently can you pack these shapes together?

Bird-brained

Age 16 to 18
Challenge Level

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.