Year 7 Being curious

  • Number Pyramids
    problem

    Number pyramids

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Consecutive Seven
    problem

    Consecutive seven

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • Shifting Times Tables
    problem

    Shifting times tables

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you find a way to identify times tables after they have been shifted up or down?

  • Sieve of Eratosthenes
    problem

    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Perimeter Possibilities
    problem

    Perimeter possibilities

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Beach Huts
    problem

    Beach huts

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you figure out how sequences of beach huts are generated?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    By selecting digits for an addition grid, what targets can you make?

  • Climbing Complexity
    problem

    Climbing complexity

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • More Number Pyramids
    problem

    More number pyramids

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • On the Edge
    problem

    On the edge

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    If you move the tiles around, can you make squares with different coloured edges?