Level 5 Problems

The problems have been grouped below by strand. Hover over each title to read the problem. Listed under 'Units' are extended problem solving investigations which aim to introduce students to an underlying idea of mathematics through a problem.

Choose a problem that involves your students in applying current learning.
Remember that the context of most problems can be adapted to suit your students and your current class inquiry.
Read more about using these problem solving activities.



Can stack
Displaying postcards
Jackson's consecutive numbers
Olympic training
Rows of numbers
Painting triplets
Square and triangular numbers
Transforming a square
Ten tiles I


Square pegs in round holes
A4 containers
Bill's badge
Penny's box
Puck's girdle
Tennis ball tubes
Playdough balls
Karen's tiles
Peter's second string
Dan's badge


Flip's flag
Poppy meets Pythagoras
Rings and diamonds
Vince's problem
Sol's serviettes


Make the highest total
Another dartboard 
Lara's equiprobable dice 1

Logic and Reasoning

Lake crossing  
Space crossing    
Rolling marbles   
Richard's dice  
No three In a line again  


400 problem
Six circles
Ws and worms
Consecutive numbers