Resources tagged with: Estimating and approximating

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There are 53 NRICH Mathematical resources connected to Estimating and approximating, you may find related items under Calculations and Numerical Methods.

Broad Topics > Calculations and Numerical Methods > Estimating and approximating

Fruity Pairs

Age 5 to 7
Challenge Level

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Can You Make 100?

Age 11 to 14
Challenge Level

How many ways can you find to put in operation signs (+ - x ÷) to make 100?

Count the Crayons

Age 5 to 7
Challenge Level

How could you estimate the number of pencils/pens in these pictures?

Discuss and Choose

Age 5 to 11
Challenge Level

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Dicey Operations

Age 11 to 14
Challenge Level

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Nice or Nasty

Age 7 to 14
Challenge Level

There are nasty versions of this dice game but we'll start with the nice ones...

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?

Countdown

Age 7 to 14
Challenge Level

Here is a chance to play a version of the classic Countdown Game.

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?

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.

Thousands and Millions

Age 11 to 14
Challenge Level

Here's a chance to work with large numbers...

All in a Jumble

Age 11 to 14
Challenge Level

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

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.

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.

Four Go

Age 7 to 11
Challenge Level

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Little Man

Age 5 to 7
Challenge Level

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

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?

Let's Get Flexible!

Age 5 to 11

In this article for primary teachers, Ems outlines how we can encourage learners to be flexible in their approach to calculation, and why this is crucial.

A Jar of Teddies

Age 7 to 14
Challenge Level

How many teddies are in the jar? How many teddies could you fit in your classroom?

Almost One

Age 11 to 14
Challenge Level

Choose some fractions and add them together. Can you get close to 1?

Four Go for Two

Age 7 to 11
Challenge Level

Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?

Dicey Operations in Line for Two

Age 7 to 11
Challenge Level

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

Nice or Nasty for Two

Age 7 to 14
Challenge Level

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Olympic Measures

Age 11 to 14
Challenge Level

These Olympic quantities have been jumbled up! Can you put them back together again?

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?

Place Your Orders

Age 11 to 14
Challenge Level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

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.

Does This Sound about Right?

Age 11 to 14
Challenge Level

Examine these estimates. Do they sound about right?

Counting Sweets

Age 7 to 14
Challenge Level

How might you use mathematics to improve your chances of guessing the number of sweets in a jar?

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?

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?

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.

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.

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.

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.

Today's Date - 01/06/2009

Age 5 to 11
Challenge Level

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

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?

Time to Evolve

Age 14 to 16
Challenge Level

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

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.

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.

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.

Building Patterns

Age 7 to 11
Challenge Level

Can you deduce the pattern that has been used to lay out these bottle tops?

Shedding Some Light

Age 7 to 11
Challenge Level

Make an estimate of how many light fittings you can see. Was your estimate a good one? How can you decide?

The Magic Number and the Hepta-tree

Age 7 to 11
Challenge Level

Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!

Back to School

Age 7 to 11
Challenge Level

Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?

Squaring the Circle

Age 11 to 14
Challenge Level

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make. . . .