# 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 18Challenge 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 18Challenge 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 18Challenge Level

Build up the concept of the Taylor series

### What Do Functions Do for Tiny X?

##### Age 16 to 18Challenge Level

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

### Branching Processes and Extinction

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

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

### Equation Attack

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

Work out the numerical values for these physical quantities.

### Big and Small Numbers in Chemistry

##### Age 14 to 16Challenge Level

Get some practice using big and small numbers in chemistry.

### Biology Measurement Challenge

##### Age 14 to 16Challenge 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 18Challenge Level

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

### Cobalt Decay

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

Are these estimates of physical quantities accurate?

### Big and Small Numbers in Biology

##### Age 14 to 16Challenge Level

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

### A Question of Scale

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

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

### Time to Evolve

##### Age 14 to 16Challenge Level

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

### Archimedes Numerical Roots

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

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

### Where Am I?

##### Age 11 to 16Challenge 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?

##### Age 14 to 16Challenge 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 16Challenge 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 18Challenge Level

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