Being Resourceful - Upper Primary

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

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?

Shaping It

Age 5 to 11
Challenge Level

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.

Dotty Six

Age 5 to 11
Challenge Level

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

Rolling That Cube

Age 5 to 11
Challenge Level

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

Magic Vs

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?

Number Differences

Age 7 to 11
Challenge Level

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?

Square Corners

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?

Cubes

Age 7 to 11
Challenge Level

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

Shape Times Shape

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?

Play to 37

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.

First Connect Three

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?

Cows and Sheep

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.

Shape Draw

Age 7 to 11
Challenge Level

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

It's a Tie

Age 7 to 11
Challenge Level

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?

Same or Different?

Age 7 to 11
Challenge Level

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.

Four Go

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?

Shapes on the Playground

Age 7 to 11
Challenge Level

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?

Through the Window

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?

Sponge Sections

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.

Mystery Matrix

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.

Dice in a Corner

Age 7 to 11
Challenge Level

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

Treasure Hunt

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?

The Remainders Game

Age 7 to 14
Challenge Level

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

Nice or Nasty

Age 7 to 14
Challenge Level

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

Factor Lines

Age 7 to 14
Challenge Level

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

Make 37

Age 7 to 14
Challenge Level

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

Baravelle

Age 7 to 16
Challenge Level

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

Frogs

Age 11 to 14
Challenge Level

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

Dicey Operations

Age 11 to 14
Challenge Level

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

Square It

Age 11 to 16
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.

Two and Two

Age 11 to 16
Challenge Level

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