Category: Free Year 4 Maths Worksheets

Year 4 maths worksheet: Santa’s reindeer

More Christmas worksheets are available at:http://pages.urbrainy.com/happy-christmas-2011

 

We continue with our seasonal worksheets with some reindeer questions, probably best suited to children in Year 4 upwards.

Everyone knows about Rudolf, the red-nosed reindeer, but far fewer people know that there are eight others to go with him!

Santa’s reindeer pull the sleigh for Santa and help him deliver the presents. The nine names are based on a poem written in 1823 called, ‘A visit from St. Nicholas’, by Clement Moore which named eight reindeer:

Dasher

Dancer

Prancer

Vixen

Comet

Cupid

Donner (originally Dunder)

Blitzen (originally Blixem)

in a little known verse:

‘More rapid than eagles his coursers they came,
And he whistled, and shouted, and call’d them by name:
“Now, Dasher! Now, Dancer! Now, Prancer, and Vixen!
“On, Comet! On, Cupid! On, Donder and Blitzen!’

The popularity of the song, ‘Rudolf the Red Nosed Reindeer led to Rudolf being added to this list, making nine in total!

This page can be found in the year 4 Using and Applying Maths category.

Santa’s reindeer

More Christmas worksheets are available at:

http://pages.urbrainy.com/happy-christmas-2011

Year 4 mental arithmetic: multiplying by 4

Knowing the 4 times table is very important but using it is not always the most efficient way of finding an answer when using just mental methods. here we have a worksheet for year 4 children which looks at an alternative approach when multiplying by 4. This uses knowledge of the 2 times table to double and double again.

With some numbers this could be a better way. For example;

150 x4 can be done easily by doubling 150 to get 300 and then doubling 300 to get 600 – all done ‘in your head’ in less than a second!

Why not try this worksheet, to be found in the Year 4 calculating category.

Multiply by 4 by doubling

Year 4 maths worksheet: multiplying by 5

By the end of year 4 children should be developing a wide range of strategies for working answers out ‘in their heads’. To be successful they do need plenty of practice with these strategies. One such technique is to be able to efficiently multiply 2-digit numbers by 5. Sometimes the best way to do this is to take the tens digit and multiply by 5 then do the same with the units. On other occasions it is easier to multiply the whole number by ten and then halve the answer; or, if the number is even, halve the number and multiply by ten.

This worksheet looks more closely at this .it is not always the best option, but it is ceertainly one that children should be confident with using.

Multiply by 5

Multiplying 2 and 3-digit numbers by 10 or 100

Today I have published another multiplying worksheet, suitable for Year 4 children. Of course, multiplying by ten is easy; just move each digit one place to the left and place a zero in the units. Repeat this for multiplying by 100, but avoid the trap of saying ‘add a nought’.

This page has incomplete number sentences. Often the answer is given and the numbers to be multiplied have to be found. This leads to a little more thought and develops the relationship between multiplication and division.

This page can be found in the Year 4 Calculating section of the site.

Multiplying 2 or 3-digit numbers by 10 or 100

Year 4 Calculating

Part of the site which is developing well and is well worth a look is the Year 4 Calculating category. There is much to be learnt in year 4, including adding three small numbers mentally and being able to add two 2-digit numbers ‘in your head’. There are a lot of strategies which need to be understood and become second nature to make this happen including partitioning numbers. It is also important to understand the relationship between addition and subtraction, which is very useful to use when checking answers.

Year 4 is a time for consolidating knowledge of tables but other ideas are also introduced including number sentences with more than one operation (later leading to BODMAS).

Division becomes much easier when times tables are known and a lot of the work on division in Year 4 involves remainders and writing remainders as fractions.

Why not have a look at our year 4 calculating worksheets? There are still more in the Four Rules section of the site.

Year 4 Calculating

 

Resource of the Week: Division with remainders as fractions

This week we are looking at worksheets where the remainders from division are written as fractions. Children need a good knowledge of tables to work out the division ‘in their heads’ and this is probably best suited to Year 4, aged8/9+ years old.

Children will be used to the concept of a remainder when dividing but this goes one step further, removing the remainder altogether. When writing the answer as a fraction the remainder goes on the top line (numerator) and the bottom number (denominator) is the number you have divided by.

This is a much neater finish to the question as the whole number is divided completely, with no messy remainders. Some of the fractions could be cancelled down to their simplest form, although this is not essential at this stage. There are several similar pages to be found in our Year 4 Calculating category.

Division with fraction remainders (pg 2)

Year 4 decimals

One of the best ways to introduce decimals is by working with money which shows the idea of tenths (10p) and hundredths (1p). Another good way is to use shading of shapes and this is the second page which does this. A series of rectangles is shown, each divided into ten equal parts: each part being one tenth. This is a very clear illustration of what tenths are and children should find it relatively easy to write down how much is shown: this could also be used on a whiteboard as a whole class activity at the start of the lesson.

It could also be used to show that 1/10 is the same as 0.1, 2/10 the same as 0.2 etc.

This is the second page of Tenths of Rectangles and can be found in our year 4 Counting and Numbers category.

Tenths of rectangles (2)

Resource of the Week: Handling data wordsnake

This is known as a wordsnake, and is rather like a maze. Start at the arrow to find the first word, moving across or down, but not diagonally, rather like a snake. The word will not be in a straight line so might be quite tricky to find, although the first word (survey) has been given to make it a little easier.

The second word follows on immediately from the first; the third word from the second and so on until each letter in the grid has been used once. The last letter of the last word is where the arrow exits the maze.

Write the words down in the spaces provided. The number of dashes shows how many letters are in each word. The initial letters of the second and third words have also been given.

All the words in this wordsnake come from the vocabulary lists for Year 4 Handling Data.

This page and others similar can be found in the Tricky section of the Maths Puzzles and Board Games section of the site.

Year 4 Wordsnake: Handling Data vocabulary

 

 

Year 4 maths worksheet: Tenths of rectangles

A good way of working with decimals is to use shapes which are divided into ten equal parts. The shape is one whole unit and each part is one tenth, which can be written as 0.1.

This page has a selection of shapes and asks the child to write down the amount that has been shaded. Where all parts of a shape have been shaded this counts as ten tenths, or one whole one.

Whilst printed pages nearly always show the decimal point situated on the line most schools show it as half way up the line: the most important thing is that it shows up clearly.

This page can be found in our Year 4 maths worksheets in the Counting and Number category.

Tenths of rectangles (1)

Year 4 worksheets: Division with remainders

Division nearly always requires carrying out more than one process, which makes it harder for children to process. A good knowledge of tables is also needed to complete division questions successfully, and this is especially true when there are remainders.

For example: to find the answer to 37 divided by 5: ask how many fives are in 37. This is where the knowledge of tables comes in, as 5 x 7 makes 35.

Then a subtraction take 35 from 37 to leave 2. There is a remainder of 2. (The remainder can never be bigger than the number you are dividing by.)

This remainder can be converted to a fraction. The 2 is the numerator (top number) and the denominator (bottom number) is the number you are dividing by, in this case 5. So the fraction left is 2/5.

This is a much neater finish to the question as the whole number is divided completely, with no messy remainders. Some of the fractions could be cancelled down to their simplest form, although this is not essential at this stage.

Division with fraction remainders (pg 2)