*Being Resourceful is part of our Developing Mathematical Habits of Mind 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 students to become more resourceful?

These problems require careful consideration. If you allow your students 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, Algebra, Geometry or Statistics collections, or scroll down to see the full set of problems below.*

### Quadrilaterals game

### Dicey Operations in Line

### How old am I?

### Funny Factorisation

### Where can we visit?

### Marbles in a box

### Attractive Tablecloths

### In a box

### Heads and Feet

### Twenty Divided into Six

### Triangles to Tetrahedra

### Sealed Solution

### Frogs

### Shady Symmetry

### Hexy-Metry

### Eggs in Baskets

### The Tall Tower

### The Spider and the Fly

### Cuboids

### On the Edge

### Isosceles Triangles

### Stars

### Two's company

### Cosy corner

### Substitution Cipher

### Torn Shapes

### A Chance to Win?

### Four Go

### Shape Times Shape

### Cows and Sheep

### Which spinners?

### Eight hidden squares

### Nice or Nasty

### How much can we spend?

### Tower of Hanoi

### Sociable Cards

### Last one standing

### What does random look like?

### Which solids can we make?

### Finding factors

### Constructing Triangles

### Play to 37

### Perception versus reality

### Wipeout

### Box plot match

### Forwards Add Backwards

### Unequal Averages

### Gabriel's Problem

### Satisfying Four Statements

### Number Lines in Disguise

### Coded hundred square

### Treasure Hunt

### Repeating Patterns

### First Connect Three

### Turning Man

### 4 Dom

### Mystery Matrix

### Poly Plug Rectangles

### Missing Multipliers

### A little light thinking

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

### Shifting Times Tables

Can you find a way to identify times tables after they have been shifted up or down?

### Multiplication arithmagons

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

### Arithmagons

Can you find the values at the vertices when you know the values on the edges?

### M, M and M

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

### Shapely pairs

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

### Agile Algebra

Observe symmetries and engage the power of substitution to solve complicated equations.

### Square It

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.

### Dicey Operations

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

### Semi-regular Tessellations

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

### Seeing Squares

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

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

### Wallpaper

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

### The animals' sports day

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.

### Through the Window

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?

### Ladybird Count

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

### Property chart

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

### Product Sudoku

The clues for this Sudoku are the product of the numbers in adjacent squares.

### The Remainders Game

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

### Magic Vs

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

### Charlie's delightful machine

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

### Special Numbers

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

### Cut Nets

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

### A Puzzling Cube

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?

### Square Corners

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?

### Sponge Sections

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.