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**Year 3-5 Mathematics Open-ended Activities**

Number & Place Value

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**Place Value How many ways can you rename 1265?”**

Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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**How many numbers can you make using the digits 1, 2, 3 and 4**

How many numbers can you make using the digits 1, 2, 3 and 4? You can only use each digit once in each number.” Place Value Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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**A number has been rounded off to 1200. What might the number be?”**

Place Value Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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**Create a pattern that starts at 91 that someone else can continue.”**

Number Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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**The number 8 is halfway between two numbers**

The number 8 is halfway between two numbers. What might those two numbers be?” Number Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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I have some marbles. I give some away to my friends and I am left with 15. How many marbles might I have started with and how many might I have given away?” Operations Open-ended Maths Activities by Peter Sullivan and Pat Lilburn

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**Operations What might the missing numbers be?” ___ x ___ = 50**

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

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**Describe how you would subtract 19 from 83 in your head**

Describe how you would subtract 19 from 83 in your head. What other subtractions could you do using a similar method?” Operations Teaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

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**I am thinking of a number between 8000 and 9000**

I am thinking of a number between and Its hundreds digit is 5 and its ones digit is 2. What might the number be?” Place Value Teaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

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**The number 17 cannot be divided equally by either 2 or 3**

The number 17 cannot be divided equally by either 2 or 3. What other numbers are not divisible by either 2 or 3?” Operations Teaching and Assessing Maths through Open-ended Activities by Pat Lilburn & Irene Sawczak

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Designing quality open- ended tasks in mathematics Louise Hodgson May 2012.

Designing quality open- ended tasks in mathematics Louise Hodgson May 2012.

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