Being resourceful

There are 88 NRICH Mathematical resources connected to Being resourceful
Cuboids
problem

Cuboids

Age
11 to 14
Challenge level
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Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
The Spider and the Fly
problem

The Spider and the Fly

Age
14 to 16
Challenge level
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A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
The Tall Tower
problem

The Tall Tower

Age
5 to 7
Challenge level
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As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Ladybird Count
problem

Ladybird Count

Age
5 to 7
Challenge level
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Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.
Cut Nets
problem

Cut Nets

Age
7 to 11
Challenge level
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Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
Sponge Sections
problem

Sponge Sections

Age
7 to 11
Challenge level
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You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Special Numbers
problem

Special Numbers

Age
11 to 14
Challenge level
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My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
Eggs in Baskets
problem

Eggs in Baskets

Age
5 to 7
Challenge level
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There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
Hexy-Metry
problem

Hexy-Metry

Age
14 to 16
Challenge level
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A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Shady Symmetry
problem

Shady Symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?