Free Year 5 Maths Worksheets
Year 5 Calculator game: 8 times table
This page is another in our calculator series, this time for the 8 times table. The grid has a selection of multiples of 8 up to 10 x 8. The idea is to play with a partner, choose a square and then enter a number on the calculator that you think will produce the number in the square when multiples by 8. if successful place a counter on the square. The aim is to try and get four in a row.
Remember that if the 8 times table is not known, multiplying by 8 can be achieved by doubling, doubling and doubling again.
This page can be found in our year 5 section under Knowing Number Facts
Year 5 Calculator game: Multiples of 7
This is the next in our series of calculator activities and is certainly one of the hardest. It looks at multiples of 7, including numbers above 10 and will test children’s knowledge of the 7 times table to the full. Again, the idea is to play with a partner and cover 4 squares in a row, either across, down or diagonally.
This can be found in Year 5, under Knowing and Using Number facts.
Multiples of 7 calculator game
Year 5 maths worksheet: ratio and proportion
This is our second page on ratio and proportion, an area of maths which is less well covered than the traditional four rules but nevertheless involves key concepts.
An important part of this page is to be able to show the ratios in the simplest form. This process is similar to showing fractions in their simplest form, for example 6:4 can be simplified to 3:2 by dividing each by 2.
Remember, when finding the proportion of something the whole total of all items needs to be worked out. So to find what proportion of the total orders was tea, add up all the orders, which comes to 80. So the proportion of tea is 24/80. This can be simplified to 3/10.
Year 5 maths worksheet: ratio and proportion
This can be quite a tricky subject for children to fully understand. If there are 6 yellow cubes and four blue cubes we can say that the ratio of yellow to blue is 6 to 4. This can be simplified to 3 to 2.
The proportion is usually written as a fraction of the whole lot, so the proportion of yellow cubes would be 6 out of 10, or when simplified, 3 out of 5. This can be written as a fraction 3/5.
In the same way, the proportion of blue cubes would be 4 out of 10 or 2 out of 5 (2/5).
A good way to check that the proportions are correct is to add the fractions which should make one.
3/5 + 2/5 = 5/5 or 1.
Year 5 handling data: weather graph 2
It’s still lovely and sunny here and just as hot as it is in Paris.
Here we have a follow up page for the worksheet posted yesterday. Yesterday’s page concentrated on interpreting the data on a graph already drawn. Today’s worksheet gives the data and asks for a graph to be drawn. This can either be done on the chart provided, or to make it harder, using graph paper and children decide on the scale to use themselves.
The data provided is the average minimum and maximum monthly temperatures for Paris. A further exercise could be to compare the graph’s of London and Paris.
Year 5 handling data: weather graph
It’s lovely and sunny here, so what better than a weather chart to brighten the day even further!
This worksheet shows a weather graph of the average maximum and minimum temperatures for each month of the year for London. It is typical of many found on weather sites on the internet, holiday brochures and newspapers. It is well worth reminding children that a graph should always have a clear title, and the axes labelled.
Some children have problems interpreting the scales on graphs when they don’t go up in single figures so it is important to point out what the temperature scale is. Most suited to year 5.
A follow up page to this will be published tomorrow.
Year 5 maths worksheet: Rounding to the nearest thousand (2)
This is a follow up page to our earlier worksheet on rounding for year 5 children.When rounding to the nearest thousand the key digit is the hundreds digit. If it is 5 or more round up to the next whole thousand. If it is less than 5 then take away the hundreds tens and units and leave the number ’rounded down’.
With practice children should be able to round numbers quickly and also begin to see what is a sensible rounding. Should it be to the nearest hundred, thousand or ten thousand?
Year 5 maths worksheet: Rounding to 1000
Many people criticise the fact that children use calculators and, indeed, they have huge potential for giving incorrect answers: numbers left in the memory and mishit keys are just two ways of ensuring wrong answers. That is why it is so important that a mental calculation, no matter how brief, always goes on at the same time as the calculator is used, to ensure that the answer is ‘sensible’.
For example, a child might want to know quickly what 3 876 x 3 is. By all means use the calculator, but at the same time, he should be rounding 3 876 to 4 000 and multiplying 4 000 by 3 to make 12 000. This should take only a second or so to do in his head. He then knows that the answer will be just less than 12 000.
3 876 x 3 is actually 11 628
This is why the ability to round quickly and sensibly is so important. Hence this worksheet, found in our Year 5 Counting and Number section.
Year 5 maths worksheet: Percentages
A straightforward introduction to finding 10% off multiples of 10p up to a pound. This can be done in two stages:
Firstly: find 10% of the total. As these are all multiples of ten this is straightforward – just divide the amount by 10.
eg 10% of 50p is 5p
Secondly: subtract from the original amount.
50p subtract 5p is 45p.
However, if you have some really nifty mathematicians they might spot that if you multiply the 5(tens) by 9 you get 450p and divide by 10 to get 45p (or simply multiply 5 by 9). This is a case of finding 90% rather than finding 10% and subtracting from 100%. Tricky, eh?
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.
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.
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?
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