Category: Maths Resources

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 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.

Maths SAT Paper A 2010: Questions 5 and 6

Here are the latest questions and answers taken from the Maths SAT Paper A 2010.

Question 5 is a straightforward time question, putting four lengths of time in order, starting with the shortest. Look for the shortest length of time and put that down first. It is a good idea to cross that off so that it makes it easier to find the next shortest time.

Question 6 is a harder question but is worth two marks if answered correctly. Unfortunately one correct answer out of the three will not gain any marks. The first triangle number is easy to find by multiplying 3 by 8. The number in the square can be found by dividing 32 by 8.

Questions 5 and 6 Maths Paper A 2010

Questions 5 and 6 Paper A answers

Year 3 mental arithmetic: Sets 13 and 14

Two more sets of mental arithmetic questions suitable for Year 3 children. There are plenty of word problems this week which some children find much harder than just being given a sum to work out.

Perhaps one of the hardest types of question is the’ finding the number half way between’. Another tricky type of question is the ‘I think of a number and subtract’ type. This is difficult because finding the answer does not necessarily involve carrying out the operation spoken in the question. For example, I think of a number and subtract 12. The answer is 20. The answer can be found by adding (not subtracting) 20 and 12. Watch for the common error of answering 8 for this question.

Year 3 mental arithmetic sets 13 and 14

Year 5 Maths Worksheet: More In Out Function Machines

I have had several requests from people for another page of In Out tables, so here it is. Each table has a set rule. A number goes in, the rule is applied and a number comes out. Straightforward if you are given the number that goes in, but a little harder if you are given the number that comes out. In that case a reverse calculation has to be done.

Some children get into a muddle with these and it is a good idea to point out that if the rule is to add then the OUT number will always be larger than the IN number. If the rule is subtract, then the OUT number will always be smaller than the IN number.

This and lots more worksheets can be found in the Year 5 Calculating category.

In out function machines (2)

Year 1 money worksheets

Children in Year 1 need plenty of practice with counting coins and adding up totals. There are several worksheets in the Year 1 calculating section which are ideal for this.

One shows mixed amounts of coins yo to 10p pieces to count.

The second looks at how much change should be given from 10p when spending small amounts of money.

The third is a more general mini-investigation whicjh looks at how many different ways an 8p yoyo can be bought using a selection of 1p and 2p coins.

Go to Year 1 calculating money worksheets

Resource of the Week: Written multiplication of money

money-multiplication-p1

Multiplication of money by a single digit is very much like multiplying a 3-digit number by a single digit, but, of course, the decimal point needs to be included. It would normally be expected to answer these types of question using the standard written method.

The first 8 questions are set out in the standard way but it is important that the second set of questions, from 9 to 15 should be set out in the correct way and not attempted as shown.

When marking these check that the working is shown, especially that the numbers have been carried across. It is often a good idea for children to check the answers to this type of question by using a calculator. (If they just use the calculator to find the answer this is quite obvious as there is no working shown!)

This page any many others can be found in our Four Rules section.

Multiplication of money (pg 1)

2010 Maths SAT paper A: question 4

Question 4 on the Maths 2010 Paper A introduces the important notion that you don’t necessarily have to get a question correct to gain marks. Part 4b points out that showing the working out could gain a mark and it is very important that children realise this. Many children are very reluctant to show their working out, preferring to just jot down and answer.

Both parts of question 4 require two separate operations to reach the answer.
Part (a) can be done in several ways. The most obvious is to identify the cost of the tuna salad (£1.60) and the apple pie (50p) and add them together. £1.60 + 50p = £2.10. This is quite tricky as it involves adding pounds and pence. Then subtract £2.10 from £2.50, leaving £0.40 or 40p.
Another way of doing part (a) is to do two separate subtractions. Take 50p from £2.50 leaves £2.00. Take £1.60 away from £2.00 leaves £0.40 or 40p. I think this is probably an easier method for many children.
The most appropriate method for part (b) is to add the cost of the cheese salad (£1.20) to the yogurt (35p) which makes £1.55. Then subtract 90p from £1.55 leaving £0.65 or 65p.
Some children may well subtract 90p from £1.20, making £0.30 and then adding the cost of the yogurt (£0.35), making £0.65 in total.
Both questions involve money written in a mixture of pounds and pence which makes this harder than it might first appear.

Question 4 from Maths SATs Paper 2010

Paper A Question 4 answers and suggested method

Year 2 Maths worksheet: missing numbers on a number square

The third in my series on missing numbers on a number square which can be found in the Year 2 Counting category. Each grid shows a different section from a 1-100 number grid, with only a couple of the numbers filled in. The task is to complete the number grid.

This is very good practice at counting on and back in ones, from any 2-digit starting number. It is also very good at showing the patterns in numbers, for example by moving down the grid one space the number increases by ten.

Missing numbers on a number square (3)

Year 5 Maths Worksheets: In-Out function machines

Whilst this worksheet appears to be very simple it is surprising how many children get into a bit of a muddle with such activities. A table is shown with a rule for completing it, such as ‘Add 34’. All that has to be done is complete the missing cells of the table following the rule. If the second (OUT) number has to be found then it is a straightforward matter of using the rule. If the first (IN) number has to be found then the rule has to be reversed: it becomes clear as you do the worksheet!

The fourth question does not give the rule, but it can be found by seeing what has happened from the IN number (40) to the OUT number (25); in this case it is subtract 15.

This is well suited to Year 5 children who are good at adding and subtracting two digit numbers mentally. It can be found in our Year 5, Calculating category.

In out function machines (1)