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Mastering Mathematics and Problem Solving
We have been exploring what mastering mathematics in the context of problem solving means to us at NRICH.
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problem
X is 5 Squares
7 to 11
Can you arrange 5 different digits (from 0 - 9) in the cross in the
way described?
problem
Making Rectangles, Making Squares
11 to 14
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
problem
The Genie in the Jar
11 to 14
This jar used to hold perfumed oil. It contained enough oil to fill
granid silver bottles. Each bottle held enough to fill ozvik golden
goblets and each goblet held enough to fill vaswik crystal spoons.
Each day a spoonful was used to perfume the bath of a beautiful
princess. For how many days did the whole jar last? The genie's
master replied: Five hundred and ninety five days. What three
numbers do the genie's words granid, ozvik and vaswik stand for?
problem
Reef and Granny
7 to 11
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
problem
Calculus Countdown
16 to 18
Can you hit the target functions using a set of input functions and a little calculus and algebra?
problem
Scientific Curves
16 to 18
Can you sketch these difficult curves, which have uses in
mathematical modelling?
problem
Torus Patterns
16 to 18
How many different colours would be needed to colour these
different patterns on a torus?
problem
Seriesly
16 to 18
Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!
problem
World of Tan 19 - A circular problem
7 to 11
Can you fit the tangram pieces into the outline of this teacup?