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  • Early Years Foundation Stage

Being Resourceful - Upper Primary Students

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

Good thinkers are resourceful and reflective. They think critically and can explain and justify the choices that they make. They become absorbed in what they are doing and show attention to detail. They look back on what they have done in order to learn from both successes and failures.

How can you become more resourceful?

These problems require careful consideration. Immerse yourself in them and appreciate that the journey is often as important as the destination!

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 Resourceful - Upper Primary Number

Number problems for upper primary that will get you thinking.

Age 7 to 11

Being Resourceful - Upper Primary Measures

Measure problems for upper primary that will get you thinking.

Age 7 to 11

Being Resourceful - Upper Primary Geometry

Geometry problems for upper primary that will get you thinking.

Age 7 to 11

Being Resourceful - Upper Primary Statistics

Statistics problems for upper primary that will get you thinking.

Biscuit Decorations

Age 5 to 7
Challenge Level Yellow star

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Rolling That Cube

Age 5 to 11
Challenge Level Yellow star

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

Dotty Six

Age 5 to 11
Challenge Level Yellow star

Dotty Six is a simple dice game that you can adapt in many ways.

Shaping It

Age 5 to 11
Challenge Level Yellow star

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

Shape Times Shape

Age 7 to 11
Challenge Level Yellow star

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

First Connect Three

Age 7 to 11
Challenge Level Yellow star

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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.

Magic Vs

Age 7 to 11
Challenge Level Yellow star

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Cubes

Age 7 to 11
Challenge Level Yellow star

How many faces can you see when you arrange these three cubes in different ways?

Play to 37

Age 7 to 11
Challenge Level Yellow star

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Number Differences

Age 7 to 11
Challenge Level Yellow star

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Shape Draw

Age 7 to 11
Challenge Level Yellow star

Use the information on these cards to draw the shape that is being described.

Square Corners

Age 7 to 11
Challenge Level Yellow star

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

It's a Tie

Age 7 to 11
Challenge Level Yellow starYellow star

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Shapes on the Playground

Age 7 to 11
Challenge Level Yellow starYellow star

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Mystery Matrix

Age 7 to 11
Challenge Level Yellow starYellow star

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Sponge Sections

Age 7 to 11
Challenge Level Yellow starYellow star

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Same or Different?

Age 7 to 11
Challenge Level Yellow starYellow star

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

Through the Window

Age 7 to 11
Challenge Level Yellow starYellow star

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Make 37

Age 7 to 11
Challenge Level Yellow starYellow star

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Four Go

Age 7 to 11
Challenge Level Yellow starYellow star

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

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?

The Remainders Game

Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

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...

Treasure Hunt

Age 7 to 14
Challenge Level Yellow star

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Factor Lines

Age 7 to 14
Challenge Level Yellow starYellow star

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Baravelle

Age 7 to 16
Challenge Level Yellow starYellow star

What can you see? What do you notice? What questions can you ask?

Dicey Operations

Age 11 to 14
Challenge Level Yellow star

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

Frogs

Age 11 to 14
Challenge Level Yellow star

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Square It

Age 11 to 16
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Two and Two

Age 11 to 16
Challenge Level Yellow starYellow starYellow star

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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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