Free Year 5 Maths Worksheets

Posted by Peter on 1st February 2012

Year 5 maths worksheet: multiplication

Here is the second in a mini-series of maths worksheets that look at using knowledge of multiplication and tables to complete number sentences.

Again, the most important aspect of this page is to illicit what processes children use to answer the questions, and it is a worthwhile experience to ask yourself exactly how you went about it in your mind to reach the answer – it is not necessarily the way we would explain to children, yet it could well be a very effective way. Let’s look at a couple of the questions;

Question 3: ? x 4 = 44.

This I can answer without doing any kind of calculation in my head because I know, off by heart, that 4 x 11 = 44.

Question 7: ? x 5 = 110

A harder question which can be tackled several ways. I actually worked from knowing that 20 fives make 100 and then adding two more fives for the ten, making the answer 22. I probably wouldn’t suggest this to children. What I would suggest is double the 110 to make 220 and then divide by ten to make 22 (and explaining why this method works).

Complete multiplication number sentences (2)

Posted by Peter on 17th January 2012

Year 5 subtraction: missing digits

Last week I published a page of addition with missing digits. This proved very popular and I have had several requests for something similar for subtraction; so here it is.

The calculations have been laid out in the tradition, standard method of written subtraction, except that two of the digits are missing. It is not as easy as it looks to find the missing digits, especially with a question such as:

41? – 2?9 = 207

In this question the units have to be adjusted, which will have a knock on effect in the tens. This page should only be given to children who have quite a good grasp of the standard written method of subtraction, but beware, it is harder than it looks!

Subtraction: missing digits

Posted by Peter on 10th January 2012

Year 5 addition: missing digits

On the face of it this might look like an easy page, but in fact many children find this quite tricky. It should not be tried until children have a good grasp of the standard written method of addition.The addition calculation has been laid out in the standard way, together with the answer. However, two of the digits in the sum are missing. Sometimes it is easy to find the missing digit, but not always, especially when tens have been ‘carried’ into hundreds.

If children get this page correct it shows a good understanding of the standard method of addition. If they struggle it would be well worth looking again at this method.

This page can be found in the Year 5 Calculating category.

Addition: missing digits

Posted by Peter on 24th November 2011

Complete multiplication number sentences (3)

This is the third worksheet in the mini series looking at using different strategies to work out missing numbers in multiplication number sentences. Again, it is worth pointing out that people who say they, ‘can’t do maths’, probably don’t have a wide range of mental strategies to tackle questions. All the questions on this worksheet look very similar but if you analyse how the brain works to answer them you will see what I mean.

Let’s look at a couple of examples:

1. Question: ? x 6 = 360

I instantly recognise the relationship between 6 and 36, knowing that 6 x 6 = 36. it then becomes very easy to multiply by 10 to reach the answer 60. This is all done in less than a second.

2. Question: 26 x ? = 104

This takes a little longer and at first glance I’m not certain. I then realised that 25 is a quarter of 100, so 25 x 4 is 100,therefore 26 x 4 would be 104.

In the first question I am making use of knowing the 6x table. In the second question I am rounding a number, working out the answer and adjusting.

Of course, there are other ways, probably just as good  and don’t forget to ask the children how they worked out the answers. You might be surprised!

Complete multiplication number sentences (3)

Posted by Peter on 29th October 2011

Maths for Halloween

More Halloween worksheets can be found on the urbrainy.com site – well worth a visit.

Nobody seems to be sure about the origins of Halloween but celebrations in the UK seem to be on the increase, perhaps following its popularity in the USA. We do know that it is always on the eve of All Saints Day and that pumpkins, apple bobbing, dressing up and demanding sweets seem to be important modern features.

So why not try a maths worksheet on Halloween? With less emphasis on the government’s planning more schools are developing themes for their maths. This page is suitable for older children who have a grasp of multiplication. A number is put through the two pots, firstly multiplying by 3 and then adding 9. The second set of questions show the resulting number and have to be worked backwards to find the number that is inputted.

Finally there are some missing digit questions. All very spooky!

This page can be found in my Year 5 calculating category.

Halloween

More Halloween worksheets can be found on the urbrainy.com site – well worth a visit.

Posted by Peter on 10th October 2011

Completing multiplication number sentences

This maths worksheet is suitable for Year 5 children who have a good knowledge of the times tables and can manipulate numbers ‘in their heads’.

It is surprising the number of different strategies we use to calculate mentally. The same type of question can be processed several different ways, often depending on the numbers being use. If we look at some of the questions on this worksheet it will become clearer as to what I mean, as I try to explain how I go about answering them, although you may well have different (and better) alternatives.

Question 1: ? x 2 = 120

Looking at the question I immediately think that I have to halve 120 to get the answer. I do this by halving 12, which is 6 and multiplying by 10, making 60. This is all done in a split second, and I might be tempted to think I did it in one, but it is important to stop and think of the steps that you go through.

Question 3: ? x 4 = 48

I could have halved and halved, or divided by 4, but, in fact, I learned my 12 times table many years ago and I know, instantly,  that 12 x 4 = 48 so the answer of 12 came immediately.

Question 4: 41 x ? = 205

The answer was not immediately obvious. I looked at the unit (1) and the unit in the answer (5) and it struck me that I need to multiply by 5. A quick check that4 x 5 will give me 20 confirmed this.

These are just a few of the ways of working out the answers and it is well worth asking children how they go about finding the answers.

Complete multiplication number sentences (1)

 

Posted by Peter on 6th October 2011

Resource of the Week: Congruent shapes and scalene triangles

Today we look at two mathematical terms which are less commonly known. Firstly, congruent is a word to conjure with! In fact it has a very simple meaning. If two shapes are congruent then they are identical in every way, including size.

Whilst this is very straightforward, unfortunately people who design maths tests papers make this as difficult as possible, as children are expected to be able to spot congruent shapes even when one of a pair has been turned. By far the easiest way to spot two congruent shapes is to cut one out, or trace it and see if it fits exactly over the other – if it does it is congruent. On this worksheet the aim is to find pairs of shapes which are congruent, and as always, the answers are provided! I do recommend the tracing option!

The second term is scalene. Most people are familiar with equilateral triangles and isosceles triangles but the term scalene triangle is the one that is most frequently forgotten. Quite simply, a scalene triangle is one which has no sides the same length and no equal angles.

These two worksheets can be found in the Year 5, Shape and Measures category.

Congruent shapes

Scalene triangles

Posted by Peter on 13th September 2011

Year 5 Calculating

There is a great deal expected of children in year 5 when it comes to calculating. Mental methods of calculating with whole numbers are extended to include addition of three small numbers, knowing tables and multiplying by 25. Efficient written methods of addition and subtraction of both whole numbers and decimals is expected as well as refining written methods of multiplication and division.

I have a growing range of worksheets covering these topics which can be found in the Year 5 Calculating category. Further worksheets on written methods can also be found in the Four Rules category.

Go to Year 5 calculating worksheets

Posted by Peter on 31st August 2011

Year 5 maths worksheet: multiplication and division hops

Each of the questions on this page has two sets of coloured arrows above the spaces which need to be filled in. The arrows give the instruction, red for multiplication and yellow for division. There are eight hexagons, one of which has been filled in. The aim is to complete the other seven using the arrows to work out what to put inside each hexagon.

Sounds complicated but it is easier to complete than to explain!

This is good practice for

a. knowing tables

b. knowing division facts

c. knowing that multiplication and division are the inverse of each other.

This page can be found in the Year 5 Know Number Facts category.

Multiplication and division hops

Posted by Peter on 8th August 2011

Year 5 Maths Worksheet: More In Out Function Machines

I have had several requests from people for another page of In Out tables, so here it is. Each table has a set rule. A number goes in, the rule is applied and a number comes out. Straightforward if you are given the number that goes in, but a little harder if you are given the number that comes out. In that case a reverse calculation has to be done.

Some children get into a muddle with these and it is a good idea to point out that if the rule is to add then the OUT number will always be larger than the IN number. If the rule is subtract, then the OUT number will always be smaller than the IN number.

This and lots more worksheets can be found in the Year 5 Calculating category.

In out function machines (2)