Problem solving

Problem-solving Investigations - Year 5/6

Hamilton provide weekly Mixed Year 5/6 maths problem-solving investigations. The mixed-age investigations below will be phased out when we phase out our mixed age weekly maths plans.

Mixed-age maths blocks will be coming during Summer Term for September 2019 and will include investigations for every unit. Find out more about the timetable for Hamilton's Y5/6 maths blocks, including investigations.

Supporting documents for set
  • Week
  • Title
  • Download
+ Details
Nought and negatives

Children play an adapted game of noughts and crosses, aiming to get negative number answers.

+ Details
Pence and pounds reversed

Children find patterns in the differences when pounds and pence are reversed.

+ Details
Four of the best

Children use an incomplete magic square to explore patterns in the addition of four numbers.

+ Details
Cycling co-ordinates

Children use a sequence of co-ordinates to create quadrilaterals.

+ Details
Riveting reversals

Year 5: Multiply four-digit numbers with consecutive digits by a single-digit number; reverse the four-digit number and repeat. Find the difference between the two answers.  Year 6: Multiply three-digit numbers with consecutive digits by a two-digit number; reverse the three-digit number and repeat. Find the difference between the two answers.

+ Details
Big triangle of fractions

Children add fractions with related denominators and find equivalent fractions to identify patterns.

+ Details
Dozen divisions

Year 5: Children use short division to divide 3-digit numbers with consecutive digits by 12. They reverse the digits in the 3-digit number and repeat, then find the difference between the two answers.  Year 6: As year 5: but children use long division to divide 3-digit numbers by 2-digit numbers less than 30.

+ Details
Roomy boxes

Children cut squares from a square piece of paper, fold up the sides to form an open cuboid and find out which size will hold the most cm³ cubes.

+ Details
Mobile differences (Y5), Geometry genius (Y6)

Mobile differences (Y5): Children use trial and improvement to find the largest and smallest possible differences using numbers selected to given criteria.  Geometry genius (Y6): Children use what they know about how to find the areas of triangles and parallelograms to find the areas of rhombi, kites and trapezia.

+ Details
Decimal differences (Y5), Stars and crosses (Y6)

Decimal difference (Y5): Children subtract pairs of numbers with consecutive digits and different numbers of decimal places, and look for patterns in their answers. Stars and crosses (Y6): Children find totals of the numbers in shapes on a 1-100 grid, make generalisations and then write a formula to find the total of any similar shape on the grid.

+ Details
Division remainder patterns

Children look at patterns of remainders in four-digit numbers when dividing by numbers 3 to 6. The can establish a rule.