# The Hundred Square

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## Hundreds Squares

What is a hundred square, and how do you use it? In this video, Skylar and Henry are exploring! They decide to use a map to help them explore and find a missing number hundred square on the back! They use the map and the hundred square grid on the back to see if they can find treasure. Take a look below to learn more about a one hundred square.

## Hundred Square How to Use it

A hundred square is a tool to see patterns, count, and even add or subtract. A one hundred square grid has the numbers one to one hundred organised into columns and rows. Looking at the squares, you see they count forwards in steps of one (...) in rows of ten.

When we read a hundred square chart we read it the same way that we read a book, from left to right. Like reading, when we get to the last number on the right we go down to the next row and start from the left again.

You might notice patterns if you look at the columns of a hundred number square. You can see that all of the numbers in the ones place of this column have the number two… and that the other columns and rows follow similar patterns.

What happens when you find a hundred square with missing numbers? When there is a missing number on a hundred square, you can use counting on a 100 hundred square and patterns to help fill in the hundred square maths puzzle. You can use what you know about place value to help work out where the missing number will go.

## Interactive Hundred Square – Practice

Let’s practise finding the missing numbers hundred square using the example below!

Skylar and Henry have the number thirty-four and need to work out where it goes on the hundred square puzzle! Thirty-four has a three in the tens place, so we can find the other numbers that start with three. Then we can count starting from the first number with a three in the tens place to find where thirty-four goes.

Thirty-four comes after thirty-three and before thirty-five!

## The Hundred Square – Summary

Today we learnt all about a hundred square, a tool with numbers to count, see patterns, and even add or subtract. We learnt about columns and rows and how to use them. Sometimes we might see missing numbers on a hundred square or even a blank hundred square. Using what we have learnt today we will be able to fill the numbers in and complete the hundred square challenge!

To continue your learning have a look at our hundred square missing numbers activities, hundred square worksheet, hundred square printable sheet, hundred square puzzles and our hundred square interactive exercises.

### TranscriptThe Hundred Square

"Let's use this handy map to help us go exploring!"

"Huh, what's that on the back of the map?" "What are all of these numbers for, and why are some of them missing?" "Treasure!" "Treeeaaaaaasure!"

Skylar and Henry want to find some treasure, but first, they need to learn more about the hundred square. What is a hundred square? A hundred square is a tool we can use to count, see patterns and even add or subtract. It has the numbers one to one hundred organised into columns and rows.

Looking at the squares, you can see they count forwards by one each time in rows of ten. You might be able to see a pattern in the ones place of each number. For example, let’s look at the column that has the number two at the top. If you look at the ones place in every number of this column, what do you see? Every square vertically has the number two in its ones place. You might notice other patterns as well, like here, where the squares horizontally have the number one in the tens place until we reach twenty. When we read a hundred square, we read it the same way that we read a book, from left to right. Like reading, when we get to the last number on the right we go down to the next row and start from the left again. It looks like Henry and Skylar found something! "Henry, look, a box!" "Is it a clue? I think that's what's missing!" Let's help Henry and Skylar work out where this number goes on the hundred square so they can get closer to the treasure! When there is a missing number on a hundred square, you can use counting and patterns to help work out which number it is. Henry and Skylar's number is sixteen. Where should sixteen go on the hundred square? Sixteen has a one in the tens place so it will go with the other teen numbers that follow this pattern. Let's count the teen numbers to find out where it goes! Eleven, twelve, thirteen, fourteen, fifteen, sixteen. We found it! Sixteen goes after fifteen. "A spanner! We can use that to tighten the wheels and get to the treasure!" While Henry was tightening the wheels, Skylar noticed another number box!

Let's use what we know about the hundred square to help them work out where this number goes. Their next number is forty-four. Since forty-four begins with four, we can start with this row, and count up until we find its place. Count with me! Forty, forty-one, forty-two, forty-three, forty-four! So, forty-four goes after forty-three! "We got oil! Maybe if we put this on the wheels it will make the train faster and get to the treasure." Before we see what the treasure is, let's review. Today we learnt about the hundred square. It's a tool with numbers to help count, see patterns, and even add or subtract. We saw how it is organised with columns and rows and explored how to find missing numbers. Now, let's go and see that treasure! "I wonder what the treasure will be!" "We're here, we're here! We made it to the treasure!" "Look Skylar, a house! Our treasure is a house!" "Wait a second Henry, that's OUR house."

## The Hundred Square exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video The Hundred Square.
• ### Can you complete the hundred square?

Hints

Look at the numbers around the missing number.

• What do the numbers in that row begin with?
• What do the numbers in that column end with?

Look at the number before the missing number, what comes next?

For example, here we can see that 14 comes before the missing number. One more than 14 is 15.

Solution

Here is the complete hundred square.

• ### Match the parts of the hundred square.

Hints

Look at the numbers around the missing number.

• What do the numbers in that row begin with? What number is in the tens place?
• What do the numbers in that column end with? What number is in the ones place?

For example, here we can see that the numbers in the row have a 3 in the tens place and the numbers in the column have a 7 in the ones place, so the missing number is 37.

Look at the number before the missing number, what comes next?

Solution

Here are the correct missing numbers.

• ### Can you fill in the missing numbers?

Hints

Look at the other numbers in the row, what will the missing number have in the tens place?

Look at the other numbers in the column, what will the missing number have in the ones place?

Remember, you read a hundred square like a book so when you get to the end of a row, the next number comes at the beginning of the next row.

Solution

Here is the completed hundred square with the numbers that were missing highlighted.

• ### Can you order the sequences?

Hints

Find the smallest number in each set to start with and then find this number on the hundred square. What comes next?

Do the numbers that you are ordering start with the same number? Find the row with those numbers on to help you order.

Remember, you read a hundred square like a book, so once you get to the end of one row you go to the left of the next row to continue reading.

You need to use one of the columns to help you order the final sequence.

Solution
1. 5, 6, 7, 8, 9, 10 (coloured green)
2. 18, 19, 20, 21, 22 (coloured pink)
3. 34, 35, 36, 37, 38 (coloured yellow)
4. 79, 80, 81, 82, 83 (coloured blue)
5. 95, 96, 97, 98, 99, 100 (coloured orange)
6. 30, 40, 50, 60, 70 (coloured purple)
• ### Which number is missing?

Hints

Take a closer look at the section of the hundred square with the missing number.

Have a look at the row with the missing number, which number is in the tens place?

Have a look at the column with the missing number, which number is in the ones place?

Which number comes before the missing number? What is one more than that?

Solution

56 was the missing number.

• ### Which numbers are incorrect?

Hints

Look across each row. Are there any numbers that have a different number in the tens place?

Look down each column. Are there any numbers that have a different number in the ones place?

There are 10 mistakes.

Solution

Here we can see the mistakes Henry made.

Looking at these highlighted numbers:

• 21 should have been 12
• 90 should have been 19
• 42 should have been 24
• 14 should have been 40
• 59 should have been 58
• 58 should have been 59
• 66 should have been 65
• 7 should have been 77
• 19 should have been 90
• 10 should have been 100