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NRICH starter problem selection



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