# Working Systematically - Lower Primary

Mathematicians try to work systematically so they can see how they worked something out, and see patterns which messy work might not reveal. Scroll down to see our complete collection of lower primary problems that require you to work systematically, or explore the two sub-collections.

### Finding All Possibilities Lower Primary

These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.

### Ordered Ways of Working Lower Primary

These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.

### Inside Triangles

##### Age 5 to 7Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

### Sort the Street

##### Age 5 to 7Challenge Level

Sort the houses in my street into different groups. Can you do it in any other ways?

### Button-up

##### Age 5 to 7Challenge Level

My coat has three buttons. How many ways can you find to do up all the buttons?

### Pairs of Numbers

##### Age 5 to 7Challenge Level

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

### Robot Monsters

##### Age 5 to 7Challenge Level

Use these head, body and leg pieces to make Robot Monsters which are different heights.

### Two Dice

##### Age 5 to 7Challenge Level

Find all the numbers that can be made by adding the dots on two dice.

### Same Length Trains

##### Age 5 to 7Challenge Level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

### Triangle Animals

##### Age 5 to 7Challenge Level

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

##### Age 5 to 7Challenge Level

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

### Three Ball Line Up

##### Age 5 to 7Challenge Level

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

### One of Thirty-six

##### Age 5 to 7Challenge Level

Can you find the chosen number from the grid using the clues?

### 3 Blocks Towers

##### Age 5 to 7Challenge Level

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

##### Age 5 to 7Challenge Level

If you put three beads onto a tens/ones abacus you could make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

### A City of Towers

##### Age 5 to 7Challenge Level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

##### Age 5 to 7Challenge 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?

### The Tall Tower

##### Age 5 to 7Challenge 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?

### Sitting Round the Party Tables

##### Age 5 to 11Challenge Level

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

### Growing Garlic

##### Age 5 to 11Challenge Level

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?