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Year 6 Maths Worksheet: Percentages and Fractions
This worksheet looks at the relationship between fractions, decimal fractions and percentages. This often proves very tricky for many children who fail to grasp that because percentage means ‘out of 100′ it can also be represented as a fraction.
Children should begin to understand that 23% also means 23/100 or 0.23.
later, when trying to work out how to find a percentage of a number it can be done quite easily by multiplying by the decimal fraction. In other words, to find 23% of a number multiply it by 0.23.
Year 5 Maths Worksheet: Square numbers (4)
This maths worksheet for Year 5 children introduces the idea of ‘index’ for writing the square of a number. Children should understand that 42 means ‘4 squared’ or 4 times 4. Often it is mistaken for 4 x 2.
Remind children that ’square numbers’ are called ’square numbers because they can be represented in an array with an equal number in both rows and columns. Again, encourage children to learn their square numbers up to at least 10 squared. This will help greatly when square roots are introduced.
Coming soon: Square numbers, percentages and addition game
Next week we have a maths worksheet for Year 5 children which introduces the idea of ‘index’ for writing the square of a number. Children should understand that 42 means ‘4 squared’ or 4 times 4. Often it is mistaken for 4 x 2.
We also have a page looking at the relationship between fractions, decimal fractions and percentages. This often proves very tricky for many children who fail to grasp that because percentage means ‘out of 100′ it can also be represented as a fraction. Most suited to Year 6 children.
For younger children we have a dice game which gives practice with counting single digits.
World Maths Day
March 3rd 2010 is going to be a very special day in the maths calendar. It is World Maths Day!!
In 2009 World Maths Day saw over 2 million students from 204 countries answering a staggering 452,681,681 (452 million) questions correctly – all in one day!!
This year features an exciting new format with multi-levels for all age groups. Teachers, parents and media are invited to participate for the first time.
The organisers are hoping to beat last year’s record in this year’s great mental arithmetic challenge.
Registration is free for both schools and students and registrations are already open with over one million signed up.
What’s it all about?
Students play against each other at live mental arithmetic games, in real time across the whole world. Each game lasts 60 seconds and a student can play up to 500 games (that’s over 8 hours of solid maths, but you don’t have to do that much!!)
You register to get a user name and password. When you sign in on the day the Live Mathletics game engine will search the globe for worthy opponents.
Then its GAME ON!
Each correct answer is worth one point.! Open to all ages from 5 to 18 and all ability levels.
It’s FREE and there are some great prizes.
So remember the date and keep it free for World Maths Day!
To find out more just go to:
Maths worksheet: Add decimals mentally (2)
This is a follow up page to an earlier worksheet on adding decimals mentally. The approach is probably the same as adding 2-digit numbers, in that most people seem to do these ‘in their head’ by adding the units first and then adding on the decimals.
So, with 4.6 + 3.5 my thinking would probably go along the lines of:
‘4 + 3 is 7, making 7.6 plus point 5 which is 8.1′.
It is not the only approach, but is usually a very effective one.
Resource of the Week: Moving towards standard written methods of addition
Just one page is not enough for children to become confident with a method, so as often as possible I include at least a second maths worksheet in this case, on ‘moving towards standard written methods’ of 2-digit addition’.
With this method the units are added and placed below the sum, making sure the units are in line and the ten is placed in the tens column. The tens are then added and placed below. The crucial concept here is to remember that it is tens which are being added, so there will be a zero in the units column to ensure that the tens numbers are kept in line. Finally the two answers are added.
This method shows clearly what is happening and should clarify the troublesome ‘carrying’ of the tens when using the standard written method.
Moving towards standard written methods of addition (2)
Year 6 Maths Worksheet: Negative numbers magic square
Magic squares come in all sorts of formats and these are quite challenging as they involve adding negative and positive numbers and are probably most suited to Year 6 children (10/11 yrs old).
On all three squares the numbers to put into the squares are given and on the first puzzle there is a clue that each row, column and diagonal adds up to -3.
To be successful with these it is important to work out what the centre number should be and what the total of each row etc should be.
There are several different ways of solving these magic squares and just one way is shown on the answer page.
Times tables: 3x table pairs
Children need an awful lot of practice and ‘overlearning’ if they are ever really going to know their tables. By knowing, I mean instant response, so that they know that 3 x 6 is 18 just as quickly as if they had been asked their name!
It’s always good to find a slightly different approach and this worksheet does just that. The numbers 0 to 10 and the numbers 3 times as great are all on the sheet. All that has to be done is link each pair.
Thanks to urbrainy.com for this page. They have an excellent range of maths games and worksheets for young children and the site is well worth a visit.
Coming soon: 3x table, negative numbers and adding decimals
Children need an awful lot of practice and ‘overlearning’ if they are ever really going to know their tables. By knowing, I mean instant response, so that they know that 3 x 6 is 18 just as quickly as if they had been asked their name! It’s always good to find a slightly different approach and our worksheet next week does just that.
Magic squares come in all sorts of formats and our pages next week are quite challenging as they involve adding negative and positive numbers and are probably most suited to Year 6 children (10/11 yrs old).
We also have a follow up page to an earlier worksheet on adding decimals mentally. The approach is probably the same as adding 2-digit numbers, in that most people seem to do these ‘in their head’ by adding the units first and then adding on the decimals.
Year 5 Maths Worksheets: Square numbers (3)
‘Maths is all about patterns!’ said my maths lecturer over 30 years ago and this worksheet on square numbers proves just how right he was. It uses a blank 10×10 square to show the pattern made when producing square numbers.
It is interesting to note that the second square number (4) is made by adding the first two odd numbers (1 + 3) and the third square number is made up of the first three odd numbers (1 + 3 + 5 = 9). This pattern continues (for ever!) with the fourth square number (16) made up of (1 + 3 + 5 + 7) and so on. By colouring in the number square it should be apparant to children why this is happening.
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