# Resources tagged with: Estimating and approximating

### There are 22 results

Broad Topics >

Calculations and Numerical Methods > Estimating and approximating

##### Age 16 to 18 Challenge Level:

Which is larger: (a) 1.000001^{1000000} or 2? (b) 100^{300} or 300! (i.e.factorial 300)

##### Age 16 to 18 Challenge Level:

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

##### Age 16 to 18 Challenge Level:

Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.

##### Age 16 to 18 Challenge Level:

Looking at small values of functions. Motivating the existence of
the Taylor expansion.

##### Age 16 to 18 Challenge Level:

The equation a^x + b^x = 1 can be solved algebraically in special
cases but in general it can only be solved by numerical methods.

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

Get some practice using big and small numbers in chemistry.

##### Age 14 to 16 Challenge Level:

Analyse these beautiful biological images and attempt to rank them in size order.

##### Age 16 to 18 Challenge Level:

See how the motion of the simple pendulum is not-so-simple after
all.

##### Age 16 to 18 Challenge Level:

Work in groups to try to create the best approximations to these
physical quantities.

##### Age 14 to 16 Challenge Level:

Work out the numerical values for these physical quantities.

##### Age 16 to 18 Challenge Level:

Build up the concept of the Taylor series

##### Age 14 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

Are these estimates of physical quantities accurate?

##### Age 14 to 16 Challenge Level:

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

##### Age 14 to 16 Challenge Level:

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

##### Age 16 to 18 Challenge Level:

In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.

##### Age 14 to 16 Challenge Level:

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

##### Age 14 to 16 Challenge Level:

A 1 metre cube has one face on the ground and one face against a
wall. A 4 metre ladder leans against the wall and just touches the
cube. How high is the top of the ladder above the ground?

##### Age 14 to 16 Challenge Level:

How many generations would link an evolutionist to a very distant
ancestor?

##### Age 14 to 16 Challenge Level:

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

##### Age 11 to 16 Challenge Level:

From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
answer be?