Estimating and approximating

There are 59 NRICH Mathematical resources connected to Estimating and approximating
Fruity Pairs
problem
Favourite

Fruity pairs

Age
5 to 7
Challenge level
filled star empty star empty star

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

Count the Crayons
problem
Favourite

Count the crayons

Age
5 to 7
Challenge level
filled star empty star empty star
How could you estimate the number of pencils/pens in these pictures?
Can you do \it too?
problem
Favourite

Can you do it too?

Age
5 to 7
Challenge level
filled star empty star empty star

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

Olympic Measures
problem
Favourite

Olympic measures

Age
11 to 14
Challenge level
filled star empty star empty star
These Olympic quantities have been jumbled up! Can you put them back together again?
Discuss and Choose
problem
Favourite

Discuss and choose

Age
5 to 11
Challenge level
filled star empty star empty star

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.

Equation Attack
problem
Favourite

Equation attack

Age
16 to 18
Challenge level
filled star empty star empty star
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.
Buying a Balloon
problem
Favourite

Buying a balloon

Age
7 to 11
Challenge level
filled star empty star empty star
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
Root hunter
problem
Favourite

Root hunter

Age
16 to 18
Challenge level
filled star empty star empty star
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Back fitter
problem
Favourite

Back fitter

Age
14 to 18
Challenge level
filled star filled star empty star

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?