# Year 6 Maths worksheets by School Year

### Multiplying decimals using the grid method

When multiplying a decimal over one (such as 2.4) by a one-digit number, the grid method can come in handy. By Y6 your child will know how to use the grid method and they will also already know how to multiply a decimal under one by a one-digit number. They just need to put these two skills together for this activity!

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### Multiplying and dividing decimals

When you want to multiply a decimal by a one-digit or two-digit number, you can use the long multiplication method. It is very important to remember to line up your numbers correctly or your decimal point will end up in the wrong place! Practise these sums using this method.

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### Time intervals puzzle

Agent Chronos has accepted a new mission: the delivery of a top-secret dossier to a contact in Miami, Florida. The night before his flight to the USA, Agent Chronos sets the alarm on his phone and goes to bed... but he’s forgotten to charge his phone and oversleeps. Will he make it onto the flight?

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### Incomplete number sentences

Can you work out which numbers should go in the empty stars?

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### Volume of cubes and cuboids

The volume of a cube / cuboid = length x height x width. Look at the following shape pairs and estimate which has the bigger volume. Work out the volume with the formula; were you right?

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### Using brackets in calculations

If a number sentence has brackets in it, you need to do the operation in brackets first. Work out the following, remembering to do the operations in brackets first (some of these have negative answers!).

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### Turning fractions into decimals

To turn a fraction into a decimal, divide the numerator by the denominator. See if you can work out what the decimal equivalents to these fractions are. Do this in your head! Then try the next set; they are harder so you will need to use a calculator. Remember, you need to divide the numerator by the denominator. Give your answer rounded to two decimal places.

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### 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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### Reducing ratios to their lowest terms

To reduce a ratio to its simplest form, you need to find a factor that you could divide both numbers by. Simplify these ratios by dividing both numbers by the same factor.

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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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### Properties of prisms: parallel planes

A prism is a 3D shape with two identical ends and all flat sides. Its cross section is the same all along its length and always the same shape as its ends. The shape of the prism’s ends gives the prism its name (for example, the ends of a hexagonal prism are hexagons). Prisms have parallel planes, which means that they have faces that are parallel to each other (they always stay the same distance apart and will never meet).

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### Probability word problems

Can you answer these tricky probability word problems? Pencil at the ready...

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### Parts of a circle

Here is a picture of a circle. Its centre is marked with a red dot. Can you measure the circle’s radius, diameter and circumference?

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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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### Multiplying fractions

When multiplying two fractions together, you quite simply multiply the numerators and then multiply the denominators. Work out the answers to these number sentences by multiplying both the numerators together and both the denominators together. Shade the diagram to show that you have found a fraction of a fraction.

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### Linear number sequences explained

A tricky worksheet on number sequences and writing formulas for the nth term.

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### Introduction to algebra

Algebra is when LETTERS are used instead of NUMBERS in number sentences. Can you work out what a, b, c and d represent in the following sums?

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### Fractions, percentages and ratio problems

Can you work out these tricky fractions, percentages and ratio problems? Ready, set...

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### Formulas for calculating area and volume of shapes

The quickest way to find the area of a 2D shape is to use a formula. Can you use the right formula to find the areas of these shapes? With 3D shapes we can also find the volume, which means the quantity of space taken up by the shape. Can you use the right formula to find the volumes of these cuboids?