Estimating and approximating

There are 59 NRICH Mathematical resources connected to Estimating and approximating
Whole Numbers Only
problem

Whole numbers only

Age
11 to 14
Challenge level
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Can you work out how many of each kind of pencil this student bought?
Big and small numbers in biology
problem

Big and small numbers in biology

Age
14 to 16
Challenge level
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Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Squaring the circle
problem

Squaring the circle

Age
11 to 14
Challenge level
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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 an estimate.
More or less?
problem

More or less?

Age
14 to 16
Challenge level
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Are these estimates of physical quantities accurate?
Back to School
problem

Back to school

Age
7 to 11
Challenge level
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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?
Time to evolve
problem

Time to evolve

Age
14 to 16
Challenge level
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How many generations would link an evolutionist to a very distant ancestor?
The Magic Number and the Hepta-Tree
problem

The magic number and the hepta-tree

Age
7 to 11
Challenge level
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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!
Archimedes and numerical roots
problem

Archimedes and numerical roots

Age
14 to 16
Challenge level
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The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Where am I?
problem

Where am i?

Age
11 to 16
Challenge level
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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?