This challenge is a game for two players. Beads and Bags Age 5 to 11 Challenge Level: Reach Age 7 to 14 Challenge Level: Finding All Possibilities Upper Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out. Look at three ‘next door neighbours’ amongst the counting numbers.

What could my number be? Can you prove it? Maze Age 7 to 11 Challenge Level: We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Finding All Possibilities Upper Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.

Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach.

What Do You Need? Each light in this interactivity turns on according to a rule. Is it the same number for a 12 hour clock over a whole day?

If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube? Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

## Working Systematically at KS2

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. Use the information to find out what the three numbers were. Pick any ten numbers from the bags above so that their total is She arranged the cards into 6 unequal piles where each pile added to the same total. Sweets in a Box Age 7 to 11 Challenge Level: Amy’s Dominoes Age 7 to 11 Challenge Level: Can you use what you’ve found out to predict the number for four red and two green?

What questions would you like to ask? Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots.

What questions would you like to ask? Is there only one solution in each case?

Always, Sometimes or Never? What do you notice? How many different triangles can you make on a circular pegboard that has nine pegs?

# Working Systematically at KS2 :

Cover the Tray Age 7 to 11 Challenge Level: Use 4 four times with simple operations so that you get the answer This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together. How many possible necklaces can you find? Age 7 to 11 Challenge Level: This problem looks at the patterns on differently sized square grids. How about every third point? This big box multiplies anything that goes inside it by the same number. Counting Cards Age 7 to 11 Challenge Level: How many different trains can you make?

# Problem Solving and Mastery Ideas | Manadon Vale Primary School

On the planet Vuv there are two sorts of creatures. What could my number be? They are each holding a card with a number on it.

The sum of the numbers inside it is written on each envelope. How about if I had five buttons?