Are you a student who likes to solve puzzles and think about mathematical problems? Would you like a selection of problems to think about in your own time?



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.

THINKING STRATEGICALLY
GOT IT		Factors and Multiples Game		Square It
Cops and Robbers		Connect Three
WORKING SYSTEMATICALLY
Reflecting Squarely		1 Step 2 Step		TWO and TWO
Isosceles Triangles		M, M and M		ACE, TWO, THREE
American Billion
REASONING AND CONVINCING
Legs Eleven		Odds and Evens		Make 37
Amazing Card Trick		Take Three from Five		Number Pyramids
EXPLORING AND JUSTIFYING
Pair Products		Peaches Today, Peaches Tomorrow		Searching for Mean(ing)
Consecutive Sums		Consecutive Numbers		A Chance to Win?
Twisting and Turning		Crossed Ends		Pick's Theorem
Interactive Spinners		VISUALISING AND EXPLAINING
Coordinate Patterns		Picturing Triangle Numbers		How far does it move?
Route to infinity		Marbles in a box		Nine colours
Painted Cube		On the Edge
APPLYING AND CONSOLIDATING
Temperature		Semi-regular tessellations		All in a Jumble
Zin Obelisk