Monthly Archives: October 2010

Removing The Border From The Worksheets

Some of the free worksheets you can download on this site don’t have a border on them, but many do. Borders can make your worksheets more interesting and engaging for your kids. But some people don’t like them.

We struggled with the dilemma: do we put borders on the worksheets or do we leave them off. Providing two versions of each worksheet, one with and one without borders is too much work. Instead, we decided to publish the majority of the worksheets with borders, but also explain how you can take them off if you don’t want them.

We’re working in Microsoft Word 2010 here, but you should be able to do something similar to the following to remove the worksheet borders, whatever version of Word you have. Click on the Page Layout tab in the ribbon and then click the Page Borders button in the Page Background group. The Borders and Shading window should open with the Page Border tab selected. This is precisely what we want.

In the top left of the window you should see the None option: click this and then click OK. When the window closes, you’ll notice that the borders have magically disappeared.

You can also use the Borders and Shading window to add borders or change the design of the existing ones.

Harder Divisions With No Remainder

These division sums will really test your kids! They are harder than the simple divisions you can download, but none of them leave any remainders.

Don’t worry about the fact that the documents below are numbered from 2 onwards, just download ‘em and use ‘em!

We also have some harder divisions with remainders for you to download, too.

Free Division Worksheets

We’ve got a selection of free division worksheets for you to download on this page. The worksheets are created in Microsoft Word and the title of each document describes its contents. For example, “division 3.docx” has sums where the student has to divide by 3, “division 4.docx” has sums where the student will be dividing by 4, and so on.

The divisions are all designed to have no remainders. For example, you’ll get sums like 9÷3 and 15÷5 etc. We’ve also got some harder sums that involve divisions with remainders, if you’re feeling adventurous.

These free division worksheets can be downloaded to your computer by rightclicking on their links and selecting “save as”.

Make Your Own Learning Materials

This site provides free learning materials for you to download. You can amend our worksheets to suit your purposes if you have Microsoft Word or an equivalent, so you have a lot of flexibility.

But what happens if you need something that you can’t find here? Well, you could create your own learning materials. The hardest part is deciding what it is you need. Once you’ve done that, it’s usually an easy job to create something in Word.

Let’s take a look at the process you’ll follow using the multiplication grid worksheet as an example. Here, the purpose of the worksheet is to get the student to practise their times tables by filling in missing numbers. Grids are very useful for containing sequential numbers and they make it easy to remove the missing ones. They’re perfect for what we need. That’s the concept sorted out.

Now that we know what we’re doing, to create the physical worksheets all we need is Microsoft Word and a printer. We can use a table in Word to create the grid. Let’s create this one:

Multiplication Grid

To make this grid, we will need a table that has 5 rows and 4 columns. The only reason that this table looks like an irregular shape and not a square is that some of the table cells have had their borders removed. We’ll explore how to do that now.

Open up Word (we’re using Word 2010) and insert a table into your document by clicking Insert > Table, and click on the square that corresponds to the number of rows (5) and columns (4) that you need.

Create Your Own Learning Materials - Table

If the table that is inserted is anything like mine, the cells are two wide and not high enough.

A Table In Word

Click to enlarge

This is no good in its current state. We need to make each cell a perfect square. To do this, we will first of all select the table by clicking on the select table icon that appears at the top left corner of the table when we hover over it.

Select Table In Word

When you select the table, you should see the Table Tools tab appear in the ribbon and within that tab are the Design and Layout tabs. Click on the Layout tab. You should now see the Cell Size group half way along the ribbon. There are some input boxes here for the cell height and width. Because we have the whole table selected, any changes we make now will affect all cells in the table.

Let’s enter a width and height of 1cm and press Enter. It’s looking much better now that the table is a square, and we can type in the numbers we need into some of the cells. The only thing is that the alignment of the numbers in each cell isn’t quite right.

Misaligned Numbers In A Table

To rectify the situation, select the whole table as we did earlier and then click the Layout tab (in the Table Tools tab). In the Alignment group there is just the button we need: Align Centre. Click that and the contents of all table cells will be centred horizontally and vertically.

The numbers are a little small, so with the table still selected, we can bold them (press ctrl-b) and then make them larger by clicking Home > Font > Grow Font. The Grow Font button is here:

Grow Font In Word

Click that button a few times until the numbers are big enough. Now all we have to do is remove the borders from the cells that don’t need them. It’s actually easier to remove the borders from the whole table first and then add them back to cells that need them.

Select the whole table and click the Design tab (in Table Tools) > Table Styles > Borders (the arrow pointing down) > No Border. All borders are removed and the numbers look like they’re floating!

Don’t panic.

Select the first column of numbers by dragging over them. We now need to add to that selection by holding down ctrl on the keyboard and dragging over the row of numbers we need. If you get this wrong you’ll lose your initial selection. The best way I found of doing this was to drag leftwards from the far right of the row. When you have all the numbers selected like this:

Selected Numbers

… you really should consider quitting while you’re ahead and cracking open that bottle of wine! Unless you’re a trooper like me and can’t stop until the deed is done. In which case, follow me.

With the current selection, click on the borders button (the down arrow again) and select All Borders.

Select All Borders

This gives us precisely what we need:

Multiplication Grid

Now, where was that bottle of wine…

How Multiplication Can Help Your Division

Knowing your times tables can help you with your division. Let’s look at the following equations:

2 x 3 = 6

6 ÷ 2 = 3

6 ÷ 3 = 2

You’ll notice that each uses the same numbers, but they just move around. Interestingly, people often check that the result of their division is right by multiplying the factors together to make sure the results is the number they initially divided.

You can use the principle above to complete the following worksheets:

The format for the worksheet is shown below:

Multiplication Helps Division

Multiplication Is Repeated Addition

The maths learning materials on this page help your students to understand the relationship between multiplication and addition.

For example, what does 2 x 3 really mean? It means 2 lots of 3 added together, that is, 3 + 3 = 6. The following image illustrates the example:

Multiplication Is Repeated Addition

3 x 3 represents 3 lots of 3 all added together: 3 + 3 + 3 = 9.

We’ll only do one more because you’re probably getting the idea. 6 x 7 (6 lots of 7) = 7 + 7 + 7 + 7 + 7 + 7 = 42.

  • multiplication is just addition 1 – this worksheet lists a set of additions for which each student has to find the equivalent multiplication. For example, what does 2 + 2 + 2 + 2 represent? Answer: 4 x 2.
  • multiplication is just addition 2 – this worksheet displays multiplications for which the student has to find the equivalent addition. For example, how can 3 x 4 be expressed as a sum? Answer: 4 + 4 + 4.

Multiplication Tables For Laminating

This multiplication table can be downloaded free. The following image shows a preview of what the multiplications look like:

Laminate These Multiplications Tables

Open the document in Microsoft Word and print it off. You might then want to laminate it and cut out each row and column. The variations for using each individual piece are endless. Here are some suggestions:

  • Two children could play snap using the cut out pieces. One child has the multiplication and the other has the answer. This might take longer than your average snap game!
  • Enlarge the font in the document for group or whole class work. The teacher keeps the multiplications whilst the answers are distributed amongst the children. The teacher then holds the multiplication up for the class to see and the child with the right answer holds it up. Bestow said child with praise and keys to the city!
  • As above, but each child has a mini whiteboard with all the answers on. The child has to mark which one is right in each instance.
  • Hang the cutouts on a washing line and ask the children to arrange them all in the right order. For example, 3×7 goes before 9X7. This is good for getting the children to work as a team, too.

You can also create some new variations of the above using the following multiplications tables:

Remember, variety will stimulate your childrens’ minds and keep them engaged.

Multiplication Grids

With these free to download multiplication grids, the students have to guess what the missing numbers are. The numbers form a sequence vertically, and they form a sequence horizontally too.

For example, try and guess what the missing numbers are in the grid below.

Multiplication Table 1

It’s easy to guess what the missing numbers are in this example, and they have been inserted in green below:

Multiplication Tables Answers

Download the following multiplication grids, open them in Microsoft Word and print them off. You can then distribute them amongst the members of your class. You’ll find that they aren’t as easy as the examples shown above, they they don’t require a degree to complete them! However, you now have a base to work from so if you need more you can copy and adapt them to the level required.