Year 4 Multiplication & Division - Problem-Solving Investigations

These in-depth maths investigations are open-ended problem solving activities for Year 4 children.

In-depth Investigation: Doubling forever
Children double numbers up to 20 and look for duplicate sequences.

In-depth Investigation: Doubling forever
Children double numbers up to 20 and look for duplicate sequences.

In-depth Investigation: Magical Nines
Children look for patterns when multiplying ‘nearly numbers’ by 9 using mental multiplication strategies.

In-depth Investigation: Table Digital Roots
Children find the digital roots of multiples of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. They identify patterns and relate these to what they know of numbers.

In-depth Investigation: Rocking Remainders
Children divide 11, 22, 33… 99 by 3, 4, 5 and look for patterns in the remainders.

In-depth Investigation: Race to 200
Children apply knowledge of factors within the 2, 3, 4, 5, 9 and 10x tables.

In-depth Investigation: Set Square
Use digits 1-9 once only to complete a calculation grid with given answers for each row and column.

These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas.

These problem-solving investigations come from our Year 4 Maths Blocks. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.