Resources tagged with: Estimating and approximating

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There are 24 results

Broad Topics > Calculations and Numerical Methods > Estimating and approximating

Root Hunter

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.

Back Fitter

Age 14 to 18
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?

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

What Do Functions Do for Tiny X?

Age 16 to 18
Challenge Level

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

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.

The Not-so-simple Pendulum 1

Age 16 to 18
Challenge Level

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

Equation Attack

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.

Approximately Certain

Age 14 to 18
Challenge Level

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

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

Biology Measurement Challenge

Age 14 to 16
Challenge Level

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

Big and Small Numbers in Physics - Group Task

Age 16 to 18
Challenge Level

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

Cobalt Decay

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.

More or Less?

Age 14 to 16
Challenge Level

Are these estimates of physical quantities accurate?

Big and Small Numbers in Biology

Age 14 to 16
Challenge Level

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

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?

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level

Have you ever wondered what it would be like to race against Usain Bolt?

Time to Evolve

Age 14 to 16
Challenge Level

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

Archimedes Numerical Roots

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?

The Fastest Cyclist

Age 14 to 16
Challenge Level

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

Where Am I?

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?

Ladder and Cube

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?

Power Countdown

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.

Growing

Age 16 to 18
Challenge Level

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