Year 3 mental arithmetic: Sets 17 and 18

Continuing with our weekly sets of mental arithmetic questions for Year 3 children, this week we concentrate on fractions and division. Not as hard as it sounds!

Many people these days think that as well as learning tables, children should learn their division facts. So they will know the 5 times table:

1 x 5 = 5, 2 x 5 = 10, 3 x 5 = 15 etc

but they should also know 15 divided by 5 = 3 etc.

The questions also look at finding tenths of numbers (divide by 10) and finding numbers which are half way between two consecutive numbers. Getting these correct will show a good understanding of number.

Year 3 Mental arithmetic (sets 17 and 18)

Resource of the Week: Handling data wordsnake

This is known as a wordsnake, and is rather like a maze. Start at the arrow to find the first word, moving across or down, but not diagonally, rather like a snake. The word will not be in a straight line so might be quite tricky to find, although the first word (survey) has been given to make it a little easier.

The second word follows on immediately from the first; the third word from the second and so on until each letter in the grid has been used once. The last letter of the last word is where the arrow exits the maze.

Write the words down in the spaces provided. The number of dashes shows how many letters are in each word. The initial letters of the second and third words have also been given.

All the words in this wordsnake come from the vocabulary lists for Year 4 Handling Data.

This page and others similar can be found in the Tricky section of the Maths Puzzles and Board Games section of the site.

Year 4 Wordsnake: Handling Data vocabulary

 

 

Year 2 Maths Worksheet: More missing numbers

The fourth, and probably last in a mini series of missing numbers on number grids. Each grid is part of a 1-100 number square with most of the numbers missing. The grid can be tackled in any order and it is interesting to see how confidently children approach this task. Some will be happiest by counting on in ones and filling in what they can before trying to count back in ones. Others will leap in and happily fill the columns in vertically, adding ten each time.

This and other similar pages can be found in the Year 2 Counting category.

Missing numbers on a number square (4)

Maths worksheet: Division of money

I have had several requests to produce another division of money worksheet as it seems this is quite hard and children need plenty of practice with it – so here it is. Dividing money by 2-digit numbers requires a very good knowledge of multiplication, tables and subtraction. The long division method can be found in other worksheets in this category but as a reminder the question should be started as follows:

eg £3.64 divided by 26.

1. ask how many 26s go into 3.

The answer is zero, so put the zero in the pounds column of the answer.

3. remember the decimal point.

4. Ask how many 26s go into 36 and continue with the long division method.

Money division (2)

 

 

KS2 Maths 2010 Paper A Questions 7 and 8

Two more questions from the KS2 Maths 2010 Paper A, with answers and suggested method of answering.

The first question is a straightforward subtraction calculation. It is worth one mark and no extra marks are given for showing the working out. There are several ways of doing this: I would do it mentally by adding on from 192 to 200, which is 8.

Then going from 200 to 336 is 136.

Finally adding the 8 to the 136 making 144.

Of course, it can be done using the standard written subtraction method, or any other way that the child feels confident with.

The second question is just as straightforward.Hexagons are 6 sided shapes, but do not need to have all the sides the same length; pentagons are 5 sided shapes. Only one mark for each question and all the shapes need to be identified to gain the mark ie B and F for 8a. and C, D and G for 8b.

Questions 7 and 8 Paper A 2010

Questions 7 and 8 Paper A answers

Year 5 maths worksheet: multiplication and division hops

Each of the questions on this page has two sets of coloured arrows above the spaces which need to be filled in. The arrows give the instruction, red for multiplication and yellow for division. There are eight hexagons, one of which has been filled in. The aim is to complete the other seven using the arrows to work out what to put inside each hexagon.

Sounds complicated but it is easier to complete than to explain!

This is good practice for

a. knowing tables

b. knowing division facts

c. knowing that multiplication and division are the inverse of each other.

This page can be found in the Year 5 Know Number Facts category.

Multiplication and division hops

Long multiplication: 3-digits by 2-digits

A standard page of long multiplication questions here. For children to be successful with these they need to have a good knowledge of ‘times tables’. Without this knowledge the whole process becomes quite tedious and errors can slip in even if the method is correct.

The standard method of long multiplication is one which most adults will be familiar with. It does not really matter if the number is multiplied by the tens first or the units first, as long as it is remembered to place a zero in the units column when multiplying by the tens digit. It is also important to line up the answer so that hundreds, tens and units are directly under each other: adding the final total can be very difficult if this is not done.

Long multiplication 3 digits by 2 digits

 

Year 2 Measurement

Great progress is made in year 2 with measuring. Much of the work still concentrates on comparisons between different lengths, heights, weights and capacity but standard units of measurement (such as centimetres and metres) are also introduced.
Units of time are also introduced, including seconds, minutes, hours and days and the relationship between them. Reading clock faces to the quarter hour is another step forward.
I have a selection of resources on these topics, found in the Year 2 maths Worksheet category, under Measuring.
I would also especially  recommend the material at urbrainy.com for these topics, as they have a great range of resources which can be viewed free of charge and up to ten sets of worksheets printed free.

Go to Year 2 measuring resources

Resource of the Week: Writing larger numbers

Writing large numbers in words is not easy but by the end of year 5 many children will be confident enough to read numbers in the millions.

In the past, in the UK, a billion has been considered as a million million, but in the USA a thousand million has been thought of as a billion.

This seems to be the norm in the UK these days as well so Neptune at 4 500 000 000 km from the sun can be said as “four billion, five hundred million km “.

Some children become fascinated by larger numbers and like to count on up to trillions and beyond, even to the googol which is a 1 with one hundred zeros!

(10,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000)

 

Free Y5 maths worksheet: writing larger numbers

Year 3 mental arithmetic: sets 15 and 16

Here we continue with our sets of mental arithmetic questions, suitable for Year 3 children.

This week the questions concentrate on the two, five and ten times tables as well as some money questions. The money questions look at how many coins are needed to make totals. Expect quite a fast response to these questions as tables should be know off by heart.

There are several ways for children to respond to these questions. One way is to give them a sets of number cards so that they can hold up their answer. it makes a change from writing the answers down. Teachers find this an effective way of making sure all children in the class make a response, not just leaving it to those who like to answer out loud. It can also lead to good discussions on how the answers were worked out.

Year 3 Mental arithmetic: sets 15 and 16.