Free Year 5 Maths Worksheets | Maths Blog

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.

Square numbers 3

Year 5 Maths Worksheet: Square Numbers (2)

This is the second in our series of square number maths worksheets for Year 5. It is an interesting and worthwhile exercise asking children to see if they can make a square out of 10 or 12 smaller squares (not overlapping etc) using plastic or card squares. Rectangles are possible, but not squares.

They can then be asked to find which numbers can be made into a square. This can be done either with smaller squares or as dots in an array.

There are several ways that questions involving square numbers can be phrased, including:

What is 4 squared?

What is the square of 4?

What number multiplied by itself makes 16?

Square numbers 2

Year 5 Maths Worksheet: Square Numbers (1)

This maths worksheet uses a 10×10 tables square to show the patterns involved with square numbers. All the square numbers lie diagonally from top left to bottom right.

Once children have seen the pattern and worked out all the square numbers from 1 to 100 it is a good idea to encourage them to learn the numbers off by heart, as if in a list.

This page is probably best suited to year 5 children.

Square numbers (1)

Maths Worksheet: Converting metric units (1)

The Metric system is so much easier than the old Imperial system, but there are still a few problems which come up when converting larger units to smaller units. Before attempting this certain facts need to be learnt off by heart, including;

10 mm = 1 cm

100 cm = 1 m

1000m = 1 km Continue reading “Maths Worksheet: Converting metric units (1)”

Percentages for year 5 (pg 2)

Here is the second of our percentages worksheets for Year 5. It is typical of the English that we manage to write per cent in two different ways. Unlike the Americans who use percent we use two words per cent, apart from when we write percentage when we put it altogether. Continue reading “Percentages for year 5 (pg 2)”

Maths worksheet: Year 5 negative numbers (2)

Here is the second of our pages on negative numbers, involving ordering 5 numbers from the least to the most.

This is probably a good time to distinguish between using the ‘minus’ sign to perform a subtraction and using it to indicate a negative number. In my time at school the word ‘minus’ was used for both and we learnt all sorts of tricks such as ‘two minuses make a plus’ which are not always as helpful to understanding as at first thought. Continue reading “Maths worksheet: Year 5 negative numbers (2)”

Maths worksheet: Converting metric units (2)

This is another maths worksheet which looks at converting a larger metric unit to a smaller one, and is suitable for Year 5 children who have a good grasp of the metric system. Even so, don’t be surprised if children make mistakes with these, especially when multiplying by ten, one hundred or one thousand. Continue reading “Maths worksheet: Converting metric units (2)”

Percentage worksheet for Year 5

This percentage worksheet looks at finding percentages of amounts of money or measurements. A key factor in being able to do this type of question is to be able to work out 10% of an amount mentally. Of course, 10% is equivalent to dividing by 10, so is easy to work out. Once 10% has been calculated it is then straightforward to work out 20% or 30% etc. To find 30%, divide by 10 to find 10%, then multiply the answer by 3 to find 30%.

There are also certain percentages that children should know the equivalent fractions of: 50% is a half, 25% is a quarter and 75% is three quarters.

Another important concept is that 100% is the whole amount: although footballers will say they gave 110% or more, mathematically this would be untrue!

Percentages_(pg 1)

Maths worksheet: Year 5 negative numbers (1)

Children are most likely to come across negative numbers when using a calculator and they are usually taught about them in the context of measuring temperature. Number lines are also very helpful as they show that numbers continue after zero when counting down. Continue reading “Maths worksheet: Year 5 negative numbers (1)”

Year 5 Maths Worksheet: relate fractions and division (pg 2)

Year 5 Maths Worksheet: relate fractions and division

$y5-relate-division-and-fractions-pg2$ Only six questions on this worksheet, but plenty of important concepts. Firstly, that division can be represented as a fraction, and, of course, a fraction can be thought of as a division.

Secondly, an improper fraction (where the top number is larger than the bottom number) can be shown as a mixed number (a whole number and a proper fraction). This can be done by dividing the numerator (top number) by the denominator (bottom number) to find the whole part with the remainder being the numerator of the new fraction. The denominator remains the same.

Relate division and fractions (pg 2 )