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Year 3 Mental Arithmetic: Sets 11 and 12

Two more sets of mental arithmetic questions to add to our growing collection. Today’s questions concentrate on addition, subtraction, multiplication and division.

Hopefully these questions will provide a confidence boost for those children who are not quite as secure in their knowledge as they should be as all the questions are worded in a very straightforward way. By Year 3 children should be familiar with the term ‘multiple’ and be able to use their knowledge of the 2, 3, 4, 5, 6 and 10 times table to work out simple division problems.

These sets of questions and other similar can be found in our Year 3 categories.

Year 3 mental arithmetic: sets 11 and 12

Resource of the Week: Year 3 maths investigation

In year 3 children are expected to be able to solve problems involving numbers, follow a line of enquiry, identify patterns and organise information. Investigations are a great way to do this as well as developing logical thinking.
This is a fun investigation for children from Year 3 upwards (7+ yrs) which encourages children to organise their thoughts as there are enough different answers to make it interesting. It is also excellent for adding several small numbers.

The task is simple:
Put in the numbers 0, 1, 2, 3 and 4 in the squares on the grid so that the total across is the same as the total going down.
Children will probably start this mini investigation with a lot of ‘trial and improvement’ and then come up with some correct solutions.

To make it easier there is also a print-out of large numbers which can be cut out to help children move the numbers about without having to write down everything they do. I would recommend this approach for any similar activity, such as magic squares.

After a while some key aspects to the logical thinking behind this may arise, including:
1. Add up the total of 0, 1, 2, 3 and 4. It comes to 10.
2. This means that if the total across and the total down are equal and the corner number is zero, they must both add up to 5.
3. By working methodically with zero in the corner 8 arrangements can be found.

Investigation: across and down

Year 3 mental arithmetic: Sets 9 and 10

This week the mental arithmetic for Year 3 concentrates on writing whole numbers in digits, counting on and back, addition, subtraction and place value.

These questions can either be done quite quickly, taking up just a few minutes or in more detail, depending on the time available. By more detail I mean talking through each question and asking how they were done. For example: How do you add 40 and 70 in your head? Is it the same as you would do it if writing it down?

When writing down a number such as four hundred and ten in figures watch out for a common mistake of writing 40010.

Year 3 mental arithmetic: sets 09 and 10

Year 3 mental arithmetic: Sets 7 and 8

I continue with two more sets of mental arithmetic questions for Year 3. Today the questions are about notation of money, recalling addition and subtraction facts, tables and doubling and halving.

At the moment I am only publishing two sets of questions a week, but these can be used effectively to make up your own questions which can be read out. Mental arithmetic is one of the most important aspects of maths in the primary school and should not be neglected.

All these pages can be found in the Year 3 maths worksheets section under Mental Arithmetic.

Year 3 Mental Arithmetic (sets 7 and 8)

Year 3 Mental Arithmetic: Sets 5 and 6

This week I have published the next two sets of mental arithmetic questions for Year 3. They concentrate on one-step problems, recalling addition and subtraction facts up to 20,adding and subtracting multiples of ten and knowing 5 and 4 times tables.

There are several ways these questions can be used and how children answer them. It is a good idea sometimes to use a set of digit cards, so children can hold up the answer. Number fans serve a similar purpose. Sometimes you might want the answers to be called out, or to be written down. The question sheets can be used for this purpose.

Y3 mental arithmetic sets 5 and 6

Year 3 Mental Arithmetic Sets 3 and 4

Two sets of mental arithmetic questions suitable for Year 2. These sets of 10 questions cover counting on and back in tens, addition, subtraction and place value.

I have been asked for more in the way of mental arithmetic questions on many occasions and as the weeks go by this should build into a really useful resource. I am also trying to match the questions to the Primary Framework for Mathematics Planning, so this would be especially relevant for the first couple of weeks of the Autumn term.

Year 3_Mental arithmetic (3 and 4)

Year 3 mental arithmetic: Sets 1 and 2

I am embarking on something new this week which will hopefully grow into a really useful resource as time goes by. It is the first in a series of mental arithmetic questions aimed at Year 3.

It consists of two sets of ten questions, followed by an answer sheet. Each set is a full A4 page so that they can be used in several ways. If given orally the teacher/parent only needs to print the answer page as all the questions are included on this and the children can just write the answers or call them out. If the teacher/parent wants the child to read the questions then they can print out the question sheets as well. This could also be shown on a whiteboard.

The first set of questions concentrate on writing whole numbers, counting on and back in tens, addition, subtraction and place value.

Year 3 Mental arithmetic (sets 1and 2)

Year 3 maths worksheet: Time and calendars

An aspect of learning about time that is often neglected is the use of a calendar. They do need some explanation for children who have not come across them before and they do come in various formats. The month shown on this worksheet starts the week on a Monday, although many start on Sunday. It can seem puzzling to children as to why there are some ‘blank’ days at the start of the first week so it is a good idea to have a calendar showing the whole year available.

This can lead to a great deal of discussion, such as how many days there are in each month, why birthdays fall on a different day of the week each year etc.

Using a calendar (1)

Year 3 maths: Pairs that make 100

shape image When working out how many more to make a number up to 100 it is important not to mix up two different ways of doing it. Let’s take the question:

‘How many more is there from 45 to 100?’

One way of doing this is to add 5 to 45, making 50 and then counting on 50 to make 100. That’s 55 in total.

Another way is to count on in tens from 45 to 95, which is 50, and then add on the extra 5, again making 55.

Watch out for children who get slightly confised, add on from 40 to 100, making 60 and then adding on another 5. This method will always result in ten more than the correct answer.

The ultimate aim of questions like these is to make the answers second nature or even to know them ‘off by heart’.

This page can be found in our Year 3, Calculating section.

Complete number sentences (pg 2)

Year 3 maths worksheets: Making a total

On these year 3 maths worksheets children are asked to supply two whole numbers to make the answer total. Some children will have little experiences of this type of question, but will soon catch on to what is needed. Again, some will start with ‘safe’ answers such as 79 + 1 = 80, but should soon gain the confidence to show how good their addition skills are.

Each question asks for two solutions. Some children will repeat their answer by swapping the two numbers eg 30 + 40 = 70 and 40 = 30 = 70. Don’t make this an issue as it shows a very important concept has been understood: that addition can be done in any order.

These two pages and other similar worksheets can be found in our Year 3 Calculations category.

Free Y3 maths worksheet: Two numbers to make a total (pg 1)

Free Y3 maths worksheet: Two numbers to make a total (pg 2)