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  • Early Years Foundation Stage

Being Curious - Upper Primary Students

Being Curious - Upper Primary is part of our Being a Good Thinker - Upper Primary collection.

Good thinkers are curious and ask good questions. They are excited by new ideas and are keen to explore and investigate them.

Want to become a more curious mathematician?

These problems will exploit your natural curiosity and encourage you to ask good mathematical questions.

You can browse through the Number, Measures, Geometry or Statistics collections, or scroll down to see the full set of problems below.

Age 7 to 11

Being Curious - Upper Primary Number

Number problems to spark your curiosity.

Age 7 to 11

Being Curious - Upper Primary Measures

Measure problems to spark your curiosity.

Age 7 to 11

Being Curious - Upper Primary Geometry

Geometry problems to spark your curiosity.

Age 7 to 11

Being Curious - Upper Primary Statistics

Statistics problems to spark your curiosity.

If the World Were a Village

Age 5 to 11
Challenge Level Yellow star

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

How Many Times?

Age 7 to 11
Challenge Level Yellow star

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

National Flags

Age 7 to 11
Challenge Level Yellow star

This problem explores the shapes and symmetries in some national flags.

Coded Hundred Square

Age 7 to 11
Challenge Level Yellow star

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Cows and Sheep

Age 7 to 11
Challenge Level Yellow star

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

Torn Shapes

Age 7 to 11
Challenge Level Yellow star

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Brush Loads

Age 7 to 11
Challenge Level Yellow star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Tricky Track

Age 7 to 11
Challenge Level Yellow star

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

A Puzzling Cube

Age 7 to 11
Challenge Level Yellow star

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Two Clocks

Age 7 to 11
Challenge Level Yellow starYellow star

These clocks have only one hand, but can you work out what time they are showing from the information?

Sealed Solution

Age 7 to 11
Challenge Level Yellow starYellow star

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

Dice in a Corner

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Three Neighbours

Age 7 to 14
Challenge Level Yellow starYellow star

Take three consecutive numbers and add them together. What do you notice?

Dicey Operations

Age 11 to 14
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

You may also like

Being Curious - Primary All Resources

Resources for primary children to help them to develop their curiosity.

Being Collaborative - Primary All Resources

Resources to help primary children to be more collaborative.

Being Resourceful - Primary All Resources

Resources to help primary children to be more thoughtful.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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