Choose Your Mathematics


Working like a mathematician begins with an interesting problem


We suggest you bookmark this page.
This is a library of activities and investigations to help you
learn to work like a mathematician.

  • Click this link. Print and keep the page.
  • Use it like you have a mathematician sitting beside you.
    Mmm, I wonder what my mathematician would do now?
  • Lots of other kids have found these challenges interesting.
  • For each challenge we tell you the school years
    where they have been used.
  • Your teacher or parent might tell you which one to choose.
  • Or choose your own mathematics.
Be Prepared

You will need...

  • a web-connected device that opens PDF and is connected to a printer.
  • a maths journal.
  • other stuff from around the house.
  • help sometimes - ask for it.
You can use digital technology to partner with someone else.

Have you registered your email address?

Have you registered your email address?

Maths at Home Activity Library

Click a Name to open the activity.
Activities are listed in the order of the first school year shown.
Click our logo at the top of an activity page to return here.


Year Levels


Ten Friends K, 1, (2) 1:1 correspondence, addition facts up to and beyond 10, making groups of 10, place value, recording - calculator, visual & kinaesthetic representation of number
Ten Tens (K), 1, 2, 3 (4, 5, 6) 1:1 correspondence, addition facts up to and beyond 10, complementary addition, estimating number, mathematical conversation, recording - calculator, recording - written, visual & kinaesthetic representation of number
Predict A Count (1) 2, 3, 4, 5, 6, 7, 8 addition facts beyond 10, estimating/predicting number, group counting, pattern interpretation, pattern recognition, recording - calculator, recording - written, subtraction
Four Odd Numbers 2, 3, 4, 5, 6, 7, 8 visual & concrete representation of number, odd & even numbers, addition, multiplication, times tables, pattern recognition and interpretation, working backwards, generalisation
Sphinx Shapes 2, 3, 4, 5, 6, 7, 8, 9, 10 shape recognition, measurement, perimeter and area experiences, experience with similar shapes, spatial perception, spatial problem solving, reasoning to find every possible case, tessellations (tiling patterns).
Note: 'Similar' in mathematics means lengths are connected by a scaling factor.
Tricubes 2, 3, 4, 5, 6, 7, 8, 9, 10 length measurement, estimating number, mental arithmetic, 3D spatial perception, isometric drawing, spatial problem solving, informal introduction of area, perimeter, base area and surface area
Mushroom Hunt 4, 5, 6, 7, 8, 9, 10 addition, doubling, powers of 2, binary numbers, index notation, multiplicative (exponential) growth, non-linear graphs, problem solving strategies, reasoning and justification
Square Pairs 5, 6, 7, 8, 9, 10 concept of proof, modern history of mathematics (circa 1999), odd & even numbers, square numbers, reasoning, recording & communicating mathematics

Maths At Home is a division of Mathematics Centre