Use your logical-thinking skills to deduce how much Dan’s crisps and ice-cream cost altogether. This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Make one big triangle so the numbers that touch on the small triangles add to What Was in the Box? What was the total and how could this be done? Can they make their lines the same length? How many different trains can you make?

This big box adds something to any number that goes into it. Weights Age 11 to 14 Challenge Level: This feature draws together tasks which give learners opportunities to reason for different purposes. Altogether there were 8 heads and 22 feet. How Do You Do It? Ordering Cards Age 5 to 11 Challenge Level: Age 5 to 11 Challenge Level:

## Working Backwards at KS1

Share Bears Age 5 to 7 Challenge Level: Tasks for KS2 children which focus on working systematically. Age 7 to 11 Challenge Level: Shut the Box Age 5 to 7 Challenge Level: Are there any left over each time? Pat counts her sweets in different groups and both times she has some left over.

Number Rhymes Age 3 to 5 Counting down from 10 and up to 10 Saying how many there are altogether. Sweets are given out to party-goers in a particular way.

# Working Backwards at KS1 :

Dotty Six is a simple dice game that you can adapt in many ways. How could I make a dark green rod using yellow and white rods? Are there some numbers that are good to aim for? Problrm Six is a simple dice game that you can adapt in many ways. Getting the Balance Age 5 to 7 Challenge Level: Register for our mailing list.

# Working Systematically at KS1 :

Register for our mailing list. Which numbers of bears can they share so that there are none left over?

Number Lines Age 5 to 7 Adrition Level: Find a great variety of ways of asking questions which make 8. Here is a chance to play a version of the classic Countdown Game.

These lower primary tasks could all be tackled using a trial and improvement approach. How many hens were there? The upper primary tasks in this collection could each be solved by working backwards. Robot Monsters Age 5 to 7 Challenge Level: Frances and Rishi were given a bag of lollies. Make 37 Age 7 to 14 Challenge Level: What numbers of total spots can you make? In Sam and Jill’s garden there are two sorts of ladybirds with 7 spots or 4 spots.

Use these four dominoes to make a square that has the same number of probkem on each side. Are you surprised by the results? The value of the circle changes in each of the following problems.

As you come down the ladders of the Tall Tower you collect useful spells. Play to 37 Age 7 to 11 Challenge Level: Heads and Feet Age 5 to 7 Challenge Level: Tug of War Age 5 to 7 Challenge Level: Use the ‘double-3 addiiton dominoes to make a square so that each side has eight dots.

Cuisenaire Environment Age 5 to 11 Challenge Level: