Exploring and noticing

problem
Coded hundred square

Age

7 to 11

Challenge level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
problem
Keep it simple

Age

11 to 14

Challenge level

Can all unit fractions be written as the sum of two unit fractions?
problem
Translating lines

Age

11 to 14

Challenge level

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
problem
Back fitter

Age

14 to 18

Challenge level

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
problem
Reflecting lines

Age

11 to 14

Challenge level

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
problem
Power countdown

Age

14 to 16

Challenge level

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
problem
Elevenses

Age

11 to 14

Challenge level

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
problem
Four-digit targets

Age

7 to 11

Challenge level

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
problem
Partly circles

Age

14 to 16

Challenge level

What is the same and what is different about these circle questions? What connections can you make?
problem
Venn diagrams

Age

5 to 11

Challenge level

How will you complete these interactive Venn diagrams?