Category: Maths Resources

Worksheet on problems involving measurement

By the end of year 3 children should be confident with using comparative terms such as taller, shorter, longest etc. They should know that:

1 kilometre = 1000 metres

1 metre = 100 centimetres

1 kilogram = 1000 grams

1 litre = 1000 millilitres

They should also begin to recognise simple fractions and convert between units, such as that 3 and a half kilometres is 3500 metres.

Rulers should be used to a fair degree of accuracy.

This worksheet covers some aspects of this and would be a good assessment or homework sheet.

Measurement problems

Resource of the week: KS2 SAT style questions

It’s never too early to get to grips with some SAT style questions in Year 6 and we have an increasing number of these. There are two similar maths worksheets here which demonstrate a number of techniques that can be used to answer SAT questions.

The first question asks for two numbers which add up to 140 from the selection given. The easiest approach to this is firstly to look at the units and find two which add up to 10, such as 28 and 32. Then to look to see if the tens digits are suitable; in this case they are not.

Try again 99 and 91 – this time too big.

Try 74 and 66.

6 and 4 make 10. 70 and 60 make 130. Add 10 to 130 makes 140 – there is your answer!

For question 3 the order is important. Start with an edge of the triangle which already has two numbers in.

Booster maths worksheet 13

Booster maths worksheet 14

2 times table up to 12

Learning times tables off by heart is a fundamental part of primary maths, yet many children go on to High School without knowing them. This really inhibits progress with a whole range of other maths, including long and short  multiplication, long and short division, factors, multiples etc.

There are not that many facts to learn and once learned off by heart they are seldom forgotten.

Here are a couple of starter pages for the two times table. I have gone up to 12 x 2 because the new national Curriculum for maths seems to have this as one of its requirements next year, although many people would argue that learning tables up to 10 covers all necessary requirements.

Thanks to urbrainy.com for letting me use this resource from their wide range of worksheets.

2x table up to 12

 

Written method for adding 4-digit numbers

Addition of two 4-digit numbers is usually done on paper,using the following standard method:

The method is to add the units first, put the units in the answer, and ‘carry’ the ten into the tens column. Then add the tens and continue in the same way into the hundreds and finally the thousands. So, looking at the addition of 6678 + 2564,

the steps are:

Step 1: add the units

8 + 4 = 12

Put the 2 in the units below the question.
Then place the one ten below the answer in the tens column.
Step 2: add the tens
7 (tens) + 6 (tens) + 1 (ten) = 14 (tens)
Place the 4 (tens) in the tens column and the 1(hundred) in the hundreds column below the answer.

Step 3: add the hundreds
6 (hundreds) + 5 (hundreds) + 1 (hundred) = 12 (hundreds)
Place the 2 (hundreds) in the hundreds column and the 1(thousand) in the thousands column below the answer.

Note: there may not always be tens, hundreds or thousands to carry.

Step 4: add the thousands
6 (thousands) + 2 (thousands) + 1 (thousand) = 9 (thousands)
Place the 9 (thousands) in the thousands column.

More clarification is available on the worksheet, together with a set of additions laid out in the correct format.

Standard addition of 4 digit numbers (2)

Year 2 Shape worksheet: 4 squares

In year 2 children should be using 2D shapes to make pictures and patterns by drawing round them, as well as using pin boards and elastic bands. This mini investigation looks at combining four squares to see how many different shapes can be made. The best way to go about this is to have four larger squares to move about and to record results on square paper.

One of the  important parts of this is to define what counts as a shape. For example, two squares joined only at the right angle would fall apart if cut so can it count as a shape?

It also encourages moving and turning shapes to see if two shapes are actually just one but seen from a different perspective.

It also encourages systematic reporting and working in a methodical way.

Thanks to urbrainy.com for letting me use this resource.

Shapes from 4 squares

Counting in Year 1

It is often assumed that children in year 1 are capable at counting, but this is frequently not the case and they need plenty of practice reciting the number names and counting on and back.

Of course number rhymes such as ‘One, two, three, four, five, Once I caught a fish alive’ will help with this.

There are plenty of occasions when counting can be done in a practical situation, such as counting out knives and forks, counting objects, recounting them if they have been rearranged etc.

This worksheet looks at counting sets of objects with numbers up to 20. They balls etc have been arranged so that they do not line up neatly, which makes it harder for them to be counted.

Count up to 20 (2)

Resource of the Week: Find tenths and hundredths

This week we take a look at a worksheet on the relationship between fractions and division. It is important that children understand that finding one half of a number is equivalent to dividing by 2, that finding one tenth of a number is the same as dividing the number by 10 and to find one hundredth is equivalent to dividing by 100. Plenty of practice is needed with this before children go on to find, for example, two tenths, or three hundredths of numbers.

Most of these questions should be calculated mentally, although rough jottings may help. The second set of questions could cause a few problems. For example: ‘What fraction of a £1 is 20 ?’ requires a couple of steps:

Firstly convert the pound to pence £1 = 100p

Secondly write the fraction as 20 out of 100 or 20/100

Thirdly simplify to 2/10 and then 1/5.

Find fractions of numbers (p2)

Square numbers and square roots

A square number is a whole number multiplied by itself for example 3 x 3 = 9. This makes 9 a square number. By Year 6 most children will be familiar with square numbers and hopefully will know the first ten or so square numbers off be heart as they all appear in the times tables.

The square root of a number is a value, or number, that can be multiplied by itself to give the original number.

For example: the square root of 16 is 4 because 4 x 4 = 16

The square root of a number is usually written using the ‘tick’ square root sign. Each whole number is the square root of another number:

5 is the square root of 25

6 is the square root of 36 etc

This page takes a quick look at square numbers and square roots and can be found in our Year 6, Knowing Number facts section.

Square numbers and square roots

Resource of the week: year 5 square numbers

square_numbers_2

This is just one of a short 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 3 maths worksheet: adding 3 numbers

Here we have another page of addition which looks at adding three numbers. Each number is a multiple of 5, but there is an extra twist in that children need to work out how many different additions can be made from the numbers available.

A systematic approach is needed, perhaps starting with the largest three numbers;

i.e. 75 + 65 + 55

then moving on to the next largest;

i.e. 75 + 65 + 45

and so on.

An important part of this is to understand that addition can be done in any order so 75 + 65 + 55 is the same as 55 + 65 + 75.

More adding three numbers