NRICH Starter Problem Selection

Challenge Level:

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