Search by Topic

Resources tagged with Estimating and approximating similar to Weekly Challenge 36: Seriesly:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 18 results

Broad Topics > Calculations and Numerical Methods > Estimating and approximating

problem icon

Growing

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Using the Haemocytometer

Stage: 4 Challenge Level: Challenge Level:1

Practise your skills of proportional reasoning with this interactive haemocytometer.

problem icon

Power Countdown

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

The Unmultiply Game

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Unmultiply is a game of quick estimation. You need to find two numbers that multiply together to something close to the given target - fast! 10 levels with a high scores table.

problem icon

Biology Measurement Challenge

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Branching Processes and Extinction

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Get some practice using big and small numbers in chemistry.

problem icon

Big and Small Numbers in Physics

Stage: 4 Challenge Level: Challenge Level:1

Work out the numerical values for these physical quantities.

problem icon

Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

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?

problem icon

What Do Functions Do for Tiny X?

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

More or Less?

Stage: 4 Challenge Level: Challenge Level:1

Are these estimates of physical quantities accurate?

problem icon

Time to Evolve

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

Approximately Certain

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Cobalt Decay

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

Building Approximations for Sin(x)

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Build up the concept of the Taylor series

problem icon

Big and Small Numbers in Biology

Stage: 4 Challenge Level: Challenge Level:1

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