Category: Free Year 6 Maths Worksheets

Reading and writing large numbers in words

A calculator is needed for this worksheet, but this does not make it any easier. First of all the calculation is written in words rather than numbers and needs to be read correctly in order for it to be keyed into the calculator correctly. The calculator comes up with the answer in digits and this has to be converted to words in the answer.

Many children, and indeed adults, find it very difficult to read large numbers correctly. The solution is to section the digits off into groups of three, starting with the units.

The first group of three is read as hundreds, tens and units.

The second group of three is read as hundreds, tens and units of thousands.

The third group of three is read as hundreds, tens and units of millions.

So 528528528

is five hundred and twenty eight million, five hundred and twenty eight thousand and five hundred and twenty eight. Easy!

This page can be found in the Year 6 Understanding Number category.

Read and write large numbers in words

 

KS2 Maths Paper 2010 Question 12

This is a typical SAT question, which many children fail to get correct. The main reason for this is that it is in three parts and many children cannot progress through a step by step approach, wanting to find the answer in one easy move. The second reason is that it involves dividing by a decimal fraction at the end.

The question asks how many times Liam goes on the Rollercoaster, with each ride costing £1.50.

Begin by finding how much two goes on the big wheel costs as this will show how much he has spent before going on the Rollercoaster.

That’s 2 x £2.50 which is £5.

Now to find how much he has left to spend. Subtract the £5 from the total spent.
That’s £14 – £5 = £9
Then work out how many times Liam could go on the Rollercoaster with £9. Probably the easiest way to do this is to work out that two rides would cost £3, so 6 rides would cost £9. Now, whilst the calculation might have been done mentally it is important to write down what was done.

Two marks for a correct answer, but one mark can be given if the correct method is shown.

Question 12 from SATS Paper A 2010

Question 12 answer and suggested method.

Multiply the Egyptian way

Sometimes it can help children’s understanding of maths and numbers if they are shown a completely different way of approaching a calculation. In Year 6 most children will be familiar with the standard written method of multiplication, but this method is far from the only one which can be used. It just happens to be quite an efficient method which is relatively easy to use.

The great Egyptian civilisation used a very different method to work out multiplication calculations. Rather than learning tables, they just got very good at adding up pairs of the same number (or doubling as we know it today). One of the reasons for this is that they did not have multiplication ‘tables’.

The method is quite long, but nevertheless quite easy if you are good at addition and it is explained in detail on the first worksheet.

Egyptian multiplication

KS2 Maths Paper 2010 Questions 10 and 11

Carroll diagrams are a favourite with the SAT paper writers and it is no surprise to find one in the 2010 SAT paper 1. There is nothing tricky about this and the best approach is to take each number in turn, look at its properties and decide where it should go.
Look at 25. Is it odd? Yes, so it must go in the first column. Is it a 3-digit number or not a 3-digit number? It is a 2-digit number so it will go in the second row. Continue with the other numbers in turn.

Two marks are given for a completely correct answer and one mark can be gained if only one number is placed incorrectly, or is missing.

For question 11 I would recommend writing this out as a multiplication in the standard way. Watch out for children who forget to write the answer in the box after completing the calculation, although they should still be awarded the mark, if the marker follows the guidelines.

Questions 10 and 11 from 2010 Paper A

Questions 10 and 11 from 2010 Paper A answers

KS2 Maths 2010 Paper A Questions 9

Question 9, which is worth one mark for a correct answer, is much more of a level 4 question for several reasons.
It is a less straightforward question to answer as it is not immediately obvious what has to be done by just glancing at it. A further complication is that more information is given outside of the contents page, i.e. that Deep Water finishes on page 68. Some children will miss this fact and be confused as to how to work the answer out.
The most obvious way to do this is to treat it as a series of subtraction calculations;
Rocket Ship: 17 – 5 = 12
Night Journey: 25 – 17 = 8
Secret Palace: 41 – 25 = 16
Jack: 59 – 41 = 18
Deep Water: 68 – 59 = 9
Counting on is one way of doing this mentally and you may well see children using their fingers to count on whilst working this out.

Question 9 from SATs test 2010 Paper A

Question 9 paper answer

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

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

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

2010 Maths SAT Paper A: question 3

The second in my series on the KS2 SAT papers which looks at question 3 of the 2010 paper A and gives answers and suggested best ways to approach the questions.

If you are looking for much more on the KS 2 Maths SAT papers and an excellent revision programme then I would highly recommend: ks2-maths-sats.co.uk

Tables and charts are a real favourite with the SATs testers. Children should have had plenty of practice at interpreting this type of table in school so it should provide easy marks: marks which should not be lost through carelessness.

To answer the question: ‘What type of cat is found only in Africa?’ requires two steps.

Firstly, identify those cats found in Africa. Secondly check across to find the cat that is not found in Asia or Europe.

To answer the question: ‘Which types of cat are found in all three parts of the world?’ requires scanning the table looking for three ticks in a row across. Sometimes with this type of question it is worth using a ruler to slide down the rows to check, but probably not necessary in this case.

Question 3 from Maths SATs Paper 2010

Paper A Question 3 answers and suggested method.

2010 Maths SAT Paper A: answers questions 1 and 2

This is the first of a series which will look more closely at the KS2 Maths SAT papers for 2010. Taking one or two questions at a time I will show  suggested methods for answering and what is accepted as an answer. This should build into a very useful resource over the following weeks.

If you are looking for much more on the KS 2 Maths SAT papers and an excellent revision programme then I would highly recommend:

ks2-maths-sats.co.uk

The first question on Paper A looks at a series of five amounts of money, one shown in pence, the rest as pounds, which has to be put in order, smallest amount first.

Suggested method:

The best way to do this type of question is to search for the lowest possible amount, which is £0.27 (or 27p) and place this in the answer, at the same time as putting a thin line through that amount on the question sheet. This then eliminates this amount, making the others easier to see.

The second question is all about adding 2-digit numbers and rounding. The key is to carry out an ordered trial and error approach to this question. Starting with one number add it to each of the others in turn and see if the rounded result is 60.

Questions 1 and 2 from SATS test 2010 Paper A

Questions 1 and 2 answers