Year 5 Maths worksheets

Free worksheets

Optional SATs papers: Year 5 maths 2003
The Year 5 maths optional SATs paper for 2003, available to parents for free download. Children may take tests in English and maths in Y3, Y4 and Y5 as part of the end-of-year teacher assessment process.
Rounding to find approximate answers
When you have carried out a long calculation it is a good idea to check your result by finding an approximate answer in your head. Work out the answers to these questions using whatever method you feel comfortable with. Then check your answer by rounding the numbers up or down then finding an approximate answer in your head.

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Reading and writing larger numbers
This table shows the place value of each of the digits of the large number above. Can you say the number above? Can you write it in words? Look at these numbers and put the commas in where you think they should go. Say them out loud and then write them in words.

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Perimeter and area compared
The perimeter is the distance all the way around the outside of a 2D shape. Area is the amount of space a surface takes up. We measure area in square units. Can you answer these questions (it may help you to draw these shapes on centimetre-squared paper)?

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Multiplying using long multiplication
A quick way to multiply a three-digit number by a two-digit number is by using the long multiplication method. Here are some for you to try (there are some multiplications with four-digit numbers in here, but don’t worry, the method is still the same!). Use the boxes to help you set out your numbers correctly!

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Reflecting, rotating and translating shapes
Can you draw this shape’s reflection in the mirror line?
Prime numbers worksheet
A prime number is a number greater than 1 that cannot be divided evenly (with no remainder) by any number other than itself or 1. Look at this 100 number square. Can you circle all the prime numbers on it?

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Estimating angles
Some of these angles are acute, some are obtuse. Decide which they are, then write an estimate for how many degrees you think each one measures. Measure them with a protractor to see if you were right

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Properties of 3D shapes
These four shapes fit in the column on the left. Can you draw them in the correct places and name them? If you’d like to count the faces yourself, use a net of each of the shapes to make a 3D shape you can hold.

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Dividing three-digit numbers
To work out these division questions you could use the chunking method you learnt in Y5 (see Year 5 worksheets) or this quicker method. See is you can use this method to answer these tricky division questions.

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Calculating the perimeter and area of irregular shapes
Once you know how to find the area of a rectangle, you can use this knowledge to find the area of irregular, compound shapes as long as they are made up of rectangles or squares. Can you calculate the area and perimeter of the shapes below?

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Answering questions on a line graph
A line graph is used to show a trend over a number of days or hours. It is plotted as a series of points, joined with straight lines. Look at this line graph showi the temperature every day of last week at noon and see if you can answer the questions.

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Square numbers
When you multiply a number by itself, the result is a square number. Cut out these cards and see if you can pick out the square numbers.

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Ordering a set of fractions
Look how Katy puts these fraction cards into order, from smallest to largest. Can you follow Katy's method and then use it to order another set of fractions?
Drawing angles
Protractors at the ready! Measure these angles then draw the correct answers to these word problems.

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Angles around a point
A full turn is 360 degrees, so the angles around a point always add up to 360 degrees. Can you look at these diagrams and work out what the missing angles are, WITHOUT using a protractor?

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Translating a shape
Translating a shape means moving it up or down or sideways without it changing shape or size. This shape needs to be translated 4 squares right and 3 squares up. Can you redraw it in its new location?

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Reflecting a shape
Something is symmetrical when both sides of it are the same when cut in half. The line down the middle of a symmetrical shape is called the line of symmetry or mirror line. Can you draw this shape reflected in the mirror line?

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Reading scales and solving problems
Can you read the scales and solve these potato-weight problems?
Reading length and solving problems
Broomsticks at the ready to work out these length problems!

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