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Number Lines in Disguise

Age 7 to 14
Challenge Level Yellow starYellow star
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When you get stuck, here are some questions that you could use to help you get unstuck.
  • Can you find the value of any of the unmarked points on the line?
  • Can you find (approximately) where $0$ would be?
  • Do you have a strategy that works for Level 1? If so, could you adapt it for the higher levels?

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Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Greetings

From a group of any 4 students in a class of 30, each has exchanged Christmas cards with the other three. Show that some students have exchanged cards with all the other students in the class. How many such students are there?

Writ Large

Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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