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Year 3-5 Open-Year 3-5 Open-ended ended Mathematics Mathematics ActivitiesActivities

Patterns & AlgebraPatterns & Algebra

Which number in this group Which number in this group does not belong? Why?does not belong? Why?

15 2 8 13 1615 2 8 13 16

PatternsPatternsOpen-ended Maths Activities by Peter Sullivan & Pat Lilburn

I doubled a number and kept I doubled a number and kept doubling so that the original doubling so that the original number was doubled four times.number was doubled four times.

What might the answer be?What might the answer be?

PatternsPatternsOpen-ended Maths Activities by Peter Sullivan & Pat Lilburn

My dog is half as old as me.My dog is half as old as me.

How old might I be and how old How old might I be and how old is the dog?is the dog?

PatternsPatternsOpen-ended Maths Activities by Peter Sullivan & Pat Lilburn

Record a number sequence of at Record a number sequence of at least eight numbers where each least eight numbers where each new number is five more than new number is five more than the previous number.the previous number.

PatternsPatternsTeaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

I am thinking of a number so I am thinking of a number so that when I take a quarter of it that when I take a quarter of it and subtract 7 the answer is an and subtract 7 the answer is an odd number between 0 and 20.odd number between 0 and 20.

What number might I be What number might I be thinking of?thinking of?

AlgebraAlgebraTeaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

Make this number sentence true Make this number sentence true in as many ways as you can-in as many ways as you can-

____ x ____ = ____ x ________ x ____ = ____ x ____

AlgebraAlgebraTeaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

Ben grouped the following Ben grouped the following numbers together :numbers together :

21, 15, 45, 24, 6 and 3021, 15, 45, 24, 6 and 30

What other numbers might What other numbers might belong in Ben’s group? Why?belong in Ben’s group? Why?

PatternsPatternsTeaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak