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'NRICH Starter Problem Selection' printed from http://nrich.maths.org/

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If you've arrived at this page looking for activities that will help you to develop your mathematical thinking skills, you may be interested in our new Thinking Mathematically Collection.


Are you a student who likes to think about mathematical problems?

Why not test and develop your skills with this special selection of NRICH problems? They have been chosen because they only make use of simple mathematical concepts (the sort encountered as some point early in Stage 3): the emphasis is on the thinking rather than the knowledge.

Why not print out the table and tick off the problems you have solved? Will you be able to crack them all? Don't forget, if you get stuck you can look at the Hint or Solution at the top of each problem.

Happy solving!
 

THINKING STRATEGICALLY
GOT IT   Factors and Multiples Game   Square It  
Cops and Robbers   Connect Three   Dicey Operations  
Crossing the Bridge   Diamond Collector      
WORKING SYSTEMATICALLY
Charlie's Delightful Machine   1 Step 2 Step   TWO and TWO  
Isosceles Triangles   M, M and M   ACE, TWO, THREE  
American Billions   Can They Be Equal?   Shifting Times Tables  
Sticky Numbers          
REASONING AND CONVINCING
Arithmagons   Odds and Evens   What Numbers Can We Make?  
Amazing Card Trick   Take Three from Five   Number Pyramids  
What's it Worth?   Dozens      
EXPLORING AND JUSTIFYING
Pair Products   Peaches Today, Peaches Tomorrow   Tilted Squares  
Summing Consecutive Numbers   Magic Letters   Keep it Simple  
What's Possible?   Searching for Mean(ing)   Pick's Theorem  
Interactive Spinners   Vector Journeys      
VISUALISING AND EXPLAINING
Route to Infinity   Picturing Triangle Numbers   Seven Squares  
Painted Cube   Marbles in a Box   Nine Colours  
Diminishing Returns   Attractive Tablecloths      
APPLYING AND CONSOLIDATING
Missing Multipliers   Semi-regular Tessellations   All in a Jumble  
Temperature