I have had a number of requests for more pages that let children practise the written method of addition, but without making the questions too hard. It is the method which is important to become familiar with. All the rest will depend on how well children know number bonds and can apply them.
The method is to add the units first, put the units in the answer, and ‘carry’ the ten into the tens column. Then add the tens and continue in the same way into the hundreds. So, for a question such as 278 + 546 the steps are:
Step 1: add the units
8 + 6 = 14
Put the 4 in the units below the question.
Then place the one ten below the answer in the tens column.
Step 2: add the tens
7 (tens) + 4 (tens) + 1 (ten) = 12 (tens)
Place the 2 (tens) in the tens column and the 1(hundred) in the hundreds column below the answer.
Step 3: add the hundreds
2 (hundreds) + 5 (hundreds) + 1 (hundred) = 8 (hundreds)
Place the 9 (hundreds) in the hundreds column.
Note: there may not always be tens or hundreds to carry.
Standard addition of two 3-digit numbers
With the Olympic Games just beginning now is a great time to brush upon those standard metric units of measurement. No longer do athletes run 100 yards or a mile: in fact the Olympics have always been metric and it is the system that all children are taught in school. By Year 4 children should be quite familiar with the main metric units of measurement and should know the following:
1 kilometre = 1 000 metres
1 metre = 100 centimetres
1 metre = 1 000 millimetres
1 centimetre = 10 millimetres
1 kilogram = 1 000 grams
1 litre = 1 000 millimetres
It is a good idea to tell children that mille is Latin (and French) for 1 000, not one million!
This page is a good check of understanding this and getting children to use these units of measurement.
Standard metric units
If there is one event which people look forward to it is the 100m. Great Britain has had a fair share of success, including wins by Harold Abrahams (remember Chariots of Fire), Allan Wells and Linford Christie.
There has also been great drama and controversy, such as when Ben Johnson set a World Record, only to be banned for drug taking.
This worksheet is quite tricky. It starts with some questions concerning the times of various winners. It then goes on to ask what average speeds (metres per second) these selected athletes were running at, as well as completing a chart showing where they would all be at the end of the race if they had all run in the same race against each other.
100m men maths worksheet
Here is a revision page on adding two teen numbers mentally and is probably best suited to year 3 children but could also be very useful for older children who are not confident with adding 2-digit numbers.
As I have said before, it is interesting that when we add ‘in our heads’ we often do it in a very different way than if we were using pencil and paper methods. For example 15 + 16 can be done several ways, non of which is significantly better or worse than another.
method 1: add the two tens to make 20. Add 5 to make 25 and then add (or count on) 6 to make 31.
method 2: add 10 to 16 to make 26 and then add 5 to make 31.
method 3: add 10 to 15 to make 25 and then add 6 to make 31.
method 4: recognise that 15 + 16 is nearly double 15 which is 30 and then make an adjustment of 1 to make 31.
Revise addition of two teen numbers
Once children have got a really good knowledge of numbers they can start to look at ordinal numbers. Whilst young children are not expected to know the term ‘ordinal numbers’ they are expected to know and understand terms such as first, second, third etc. This language can be developed during the playing of games whilst discussing who should go first, escond etc.
This is a simple wordsearch using these terms. All the words can be found either going across or down – there are no diagonals. It is good practice to help with reading and writing these words as some of them are quite tricky.
Ordinal numbers wordsearch
One of the most iconic events in athletics is the Marathon. It originates from stories of the famous Athenian, Pheidippides who ran from the battlefield near Marathon to Athens to announce the Greek victory over Persia. He is supposed to have collapsed and died from exhaustion after delivering his message.
The marathon was about 25 miles long aalthough the distance was not standardised until 1908, when the race’s distance was extended from around 25 miles to 26.2 miles (42.195 kilometres). This distance became standard for the Marathon and is still used today.
It is the only race still usually measured in miles and yards rather than metric.
The men’s marathon world record is held by Patrick Makau of Kenya. He ran over 26 miles in just over 2 hours 3 minutes. In metres that is over 55 metres every 10 seconds.Mark out 55 metres on the playground or on the field. See if you can run that far in 10 seconds.If you can imagine doing it at the same speed for 2 hours without a break! That’s how fast they are running!!
Men’s Marathon worksheet
As the summer term comes to an end why not have some more fun with a calculator. I expect most children have worked out the certain combinations of letters will form words when the calculator is turned upside down and this page looks a little more closely at this.
For example: 0.7734 will greet you with the word ‘hello’, albeit in a slightly odd font, but perfectly readable.
There follows 5 calculations which give words.
Once children have worked out which letters can be converted into words then there is a tremendous range of words that can be created. The second page suggests just a few of them.
One good idea is to let children find the number that makes a word and then make a clue up , in a similar way to the worksheet. This will involve plenty of excellent practice at working with numbers.
Archery is one of the oldest known sports; certainly it was a competitive activity in medieval times – remember Robin Hood! In the 14th century it was compulsory for all men aged between 7 and 60 to practise.
The idea of the sport is to shoot arrows at a target consisting of ten rings, with the Gold in the middle. Usually it takes the form of a knock-out competition with five sets. Each set consists of three arrows per archer.
This worksheet looks at the possible scores that can be achieved if all the three of the arrows land in the red and/or blue rings.
The Red Inner is worth 8 points.
The Red outer is worth 7 points.
The Blue Inner is worth 6 points.
The Blue Outer is worth 5 points.
This is a slightly harder task than the first Archery worksheet. When carrying out this look for children who work in a well organised, methodical way e.g. starting with the highest possible score (8, 8, 8) and working down. probably most suired to year 4/5 and can be found in our Year 5 Using and Applying Maths section.
Archery worksheet (2)
Here we have the last sets of mental arithmetic questions for year 3. The complete pack of 72 sets of ten questions can be used in 12 week blocks over the three terms, using two sets each week. Probably the most important part of this whole process is to ask how children go about answering the questions and discussing with them different approaches, some of which are much quicker and easier than others.
If children can answer these last two sets of questions quickly and correctly then they will be very well set up for the next year and will have a sound base on which to progress.
Questions this week include:
doubling 2-digit and 3-digit numbers
finding halves of 3-digit multiples of 10
change from £5.00
further money problems
time questions such as the number of weeks in a year.
Year 3 mental arithmetic: sets 71 and 72
Here is a great worksheet for those who are interested in the summer football taking place in July and August. There are 6 stadiums which will host matches:
City of Coventry Stadium
St James’ Park
This worksheet looks at the approximate capacity of each ground and asks some tricky questions. Set out over two pages, the answers require addition and subtraction of large numbers as well as long multiplication, including 5-digits multiplied by 2-digits. For this reason it is best suited for the upper primary end. The calculations have been laid out using the standard written method which should help.
Whilst this doesn’t quite fit any category I have added it to the Year 6 Calculations, under Addition.