Lots to find out, lots to explore. How about every third point? Can you get four in a row? Odd Squares Age 7 to 11 Challenge Level: In how many different ways can you do it? For this task, you’ll need an A4 sheet and two A5 transparent sheets.

All the Digits Age 7 to 11 Challenge Level: Finding Fifteen Age 7 to 11 Challenge Level: Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots. Choose two of the numbers to multiply or divide, then mark your answer on the number line. The idea is to go round the track in as few moves as possible, keeping to the rules. Can you picture it in your head? Table Patterns Go Wild!

# Problem Solving :

This task requires learners to explain and help others, asking and answering questions. Four Go Age 7 to 11 Challenge Level: Cut it Out Age 7 to 11 Challenge Level: Investigate the different numbers of people and rats there could have solvinh if you know how many legs there are altogether! Each light in this interactivity turns on according to a rule. Sealed Solution Age 7 to 11 Challenge Level: Stick Images Age 7 to 14 Challenge Problej Triple Cubes Age 5 to 11 Challenge Level: Age 7 to 11 Challenge Level: This challenge combines addition, multiplication, perseverance and even proof.

How many ways can you find to do up all four buttons on my coat?

rnich Investigate the different shaped bracelets you could make from 18 different spherical beads. Are there some numbers that are good to aim for? Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second.

Can you complete this calculation by filling in the missing numbers? Factor Lines Age 7 to 14 Challenge Level: Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

## Working Systematically at KS2

Number live Age 7 to 11 Challenge Level: Can you draw them on dotty paper? These practical challenges are all about making a ‘tray’ and covering it with paper. This game can mayhs standard practice exercises on finding factors and multiples.

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Is there only one solution in each case? Here are four cubes joined together. These upper primary tasks could all be tackled using a trial and improvement approach.

# Working Systematically at KS2 :

They are each holding a card with a number on it. Digging deeper Stage 4: Here are the six faces of a cube – in no particular order.

Try with different steps and see if you can predict what will happen. Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables. Tea Cups Age 7 to 14 Challenge Level: Have a go at balancing this equation.

Rotcelfer Age 7 to 11 Challenge Level: How do you know if your set of dominoes is complete? Can you discover its value in each problem?