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### Number and algebra

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### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Being Resourceful - Primary Teachers

### Being Resourceful - Primary Number

### Being Resourceful - Primary Measures

### Being Resourceful - Primary Geometry

### Being Resourceful - Primary Statistics

### Repeating Patterns

### Turning Man

### Ladybird Count

### The Animals' Sports Day

### Wallpaper

### Eggs in Baskets

### Heads and Feet

### The Tall Tower

### Seeing Squares

### Dotty Six

### Poly Plug Rectangles

### 4 Dom

### Play to 37

### Torn Shapes

### Coded Hundred Square

### Magic Vs

### Dicey Operations in Line

### Satisfying Four Statements

### Shape Times Shape

### A Puzzling Cube

### First Connect Three

### Square Corners

### Cows and Sheep

### Sealed Solution

### Through the Window

### Sponge Sections

### Twenty Divided Into Six

### Four Go

### Cut Nets

### Mystery Matrix

### Nice or Nasty

### Missing Multipliers

### Treasure Hunt

### The Remainders Game

### Eight Hidden Squares

### Number Lines in Disguise

### Baravelle

### Two and Two

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

*Being Resourceful is part of our Developing Mathematical Mindsets - Primary Teachers 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 do we help our learners to become more resourceful?

These problems require careful consideration. If you allow your learners time to immerse themselves in the problems, they may learn to 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 5 to 11

Challenge Level

Number problems at primary level that require careful consideration.

Age 5 to 11

Challenge Level

Measure problems at primary level that require careful consideration.

Age 5 to 11

Challenge Level

Geometry problems at primary level that require careful consideration.

Age 5 to 11

Challenge Level

Statistics problems at primary level that require careful consideration.

Age 5 to 7

Challenge Level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Age 5 to 7

Challenge Level

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Age 5 to 7

Challenge Level

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Age 5 to 7

Challenge Level

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

Age 5 to 7

Challenge Level

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Age 5 to 7

Challenge Level

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

Age 5 to 7

Challenge Level

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Age 5 to 7

Challenge Level

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Age 5 to 11

Challenge Level

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.

Age 5 to 11

Challenge Level

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

Age 5 to 11

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 5 to 11

Challenge Level

Use these four dominoes to make a square that has the same number of dots on each side.

Age 7 to 11

Challenge Level

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.

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Can you find any two-digit numbers that satisfy all of these statements?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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.

Age 7 to 11

Challenge Level

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Age 7 to 11

Challenge Level

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

Age 7 to 14

Challenge Level

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

Age 7 to 14

Challenge Level

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Age 7 to 14

Challenge Level

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

Age 7 to 14

Challenge Level

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

Age 7 to 14

Challenge Level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Age 7 to 14

Challenge Level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Age 7 to 16

Challenge Level

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

Age 7 to 16

Challenge Level

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