Pupil and parent learning sheet · 10 = 143 30 = 4 23 30 Noah posts three large letters. The postage costs the same for each letter. He pays with a £20 note. His change is £14.48

Pupil and parent learning sheetWeek beginning: 6th July 2020

This week's work for Year 6 Maths is about ratios: how to recognise and calculate them, as well as solving problems involvingthem. Finally, you will get the chance to practice your arithmetic skills. By the end of this week, you should be able to:

1. Understand the ratio symbol2. Calculate ratios3. Use scale factors4. Solve ratio and proportion problems5. Practice your arithmetic skills

All the information and links to the resources you need are in this presentation. The videos from the White Rose website (Summer Term Week 10 - w/c 29th June) all still work, but the questions and answers are not on the website. DO NOT WORRY – I’ve put them all into the presentation for you☺

There are five lessons for this week, so you can do a different lesson each day. Do not worry if you don’t finish everything – all that matters is that you try your best. If some of the work is too tricky, we have also included some BBC Bitesize and Mathswatch activities to complete for each day instead, alongside x-table practice on TT Rockstars.

Remember, if you have any questions you can contact us at [email protected] and we will reply to you as quickly as we can.Enjoy!

mailto:[email protected]

Maths lesson 1

Laura and Sandra buy some stickers.

Laura buys a pack of 12 stickers for £10.49Sandra buys 12 single stickers for 99p each.How much more does Sandra pay than Laura?

Hello Y6. Complete to warm yourself up. I expect A and B, with C if you want to challenge yourself

1)2

3of ____ = 48

2) 97% x 250 =

3) 7982 ÷ 26 =

4) Write 0.38 as a

fraction

5) Find the lowest common

multiple of 4 and 10

A B C

Warm up answers

A B CLaura and Sandra buy some stickers.

Laura buys a pack of 12 stickers for £10.49Sandra buys 12 single stickers for 99p each.How much more does Sandra pay than Laura?

1)2

3of 72 = 48

2) 97% x 250 = 242.5

3) 7982 ÷ 26 = 307

4) Write 0.38 as a

fraction 𝟑𝟖

𝟏𝟎𝟎=

𝟏𝟗

𝟐𝟎

5) Find the lowest common

multiple of 4 and 10 20

12 x 0.99 = £11.88

£11.88 - £10.49 = £1.39 180g into kilograms = 180 ÷ 1000 = 0.18kg

0.30 – 0.18 = 0.12kg or 120g

Today’s lesson uses the same White Rose website as normal. You are going to need to follow these instructions carefully.

Follow this link:

https://whiterosemaths.com/homelearning/year-6/

If you hover over the link with your cursor, it tells you how to get straight there.

Or, right click on it with your cursor and you will see ‘open link’ as an option. Click it.

The next few slides will explain what to do next, so please keep reading!


You should be on the same White Rose website as usual. Now you need to click on Summer Term – Week 10 (w/c 29th June )

Make sure you select the correct week at the top before you go to the lesson.

You are on Lesson 1 –Introducing the ratio symbol

The first thing I want you to do is to write the LO in your books

Now watch the video, stopping it to make notes if you need.

Make sure you have your sound turned on.

You can watch it more than once if you want!

These notes will give you some extra help if you need

:Ratio, simply, is comparing something to (:) something else.

Remember, though, if you are comparing faces to hearts – the number of faces must go first:

3: 2

4:6 2:3You can ‘simplify’ ratios, just like you can with fractions by finding a common denominator for both sides – in this case 2.

__:___:___:___

There is no limit to how many things you compare –as long as you separate with a colon (:)

You can say it as four ‘to’ one. When you write it –replace the ‘to’ with a colon, like this:

4:1

Here are the questions from the activity. Don’t worry if you can’t do them all, just try your best.


And here are the answers☺

And here are the answers☺

If you found these tricky or couldn’t access them or have finished and want something else to do…that’s fine!Please do these:

MathsWatch – Week 13 day 1 addition and subtraction harder questionshttps://vle.mathswatch.co.uk/vle/

BBC Bitesize – Subtracting decimals https://www.bbc.co.uk/bitesize/articles/zk4kvwx

The BBC site is the Year 5 lesson as it provides more

support than the Year 6 one ☺

We have done this topic at school so everyone should be

able to have a go!

You don’t need to print off the ‘Maths-Whizz’ sheets. You

can do all of your working out in your yellow books.

https://vle.mathswatch.co.uk/vle/


https://www.bbc.co.uk/bitesize/articles/zk4kvwx


Maths lesson 2


1) 4⅜ - 2½ =

2) 6²- 3³ =

3) Write ⅝ as a decimal and a

percentage

4) 0.7 x __ = 630

5) 15% of £2.20 =

A B C3 bottles of Fanta cost the same as 2 bars of Galaxy.One bar of Galaxy costs £1.44.How much does one bottle of Fanta cost?

Hint: find out what each ‘jump’ is first!

Warm up answers

A B C3 bottles of Fanta cost the same as 2 bars of Galaxy.One bar of Galaxy costs £1.44.How much does one bottle of Fanta cost?

1) 4⅜ - 2½ = 𝟏𝟓

𝟖= 1⅞

2) 6²- 3³ = 36 – 27 = 9

3) Write ⅝ as a decimal and a

percentage 0.625 and 62.5% or 62½%

4) 0.7 x 900 = 630

5) 15% of £2.20 = £0.33 or

33p

£1.44 x 2 = £2.88

£2.88 ÷ 3 = £0.96

33 42

0.9 2.1 2.5


Follow this link:






You should be on the same White Rose website as usual. Remember we are now on Summer Term – Week 10 (w/c 29th June )


You are on Lesson 2 –Calculating ratio

Don’t worry about the questions and answers. I’ve put them into this presentation ☺





These notes will give you some extra help if you needWe have taught you at school to write it like this:

1 bag : 7 sweets

3 bags : __ sweets

We know how much the number of bags increases – but what is the multiple? 1 x __ = 3

If we multiply the one side of the colon by three, we must do the same to the other side.

7 x 3 = 21

So there are 21 sweets in three bags.

Mr Scarle’s share

Mr Byrom’s share

There is a total of £56 to be shared between the two teachers

When we know the total and we know who has ‘how many parts’ we can use that to work out how much they get each.

If Mr Scarle has five parts and Mr Byrom, three, there are 8 parts in total.

If 8 parts = £56, we need to find out how much one part is (56 ÷ 8)

One part is £7! If Mr Scarle has five parts, you’d do 5x7 to work out he has £21 in total.

£7 £7 £7 £7 £7 £7 £7 £7

Mr Scarle’s Mr Byrom’s

£35 £21

REMEMBER: Find one part first!


Here are the questions from the activity.

Remember: 1000ml = 1 litre

And here are the answers ☺


Send us in your best answers!


MathsWatch – Week 13 day 2 factors, multiples & number patterns

BBC Bitesize – Subtracting decimals with different decimal placeshttps://www.bbc.co.uk/bitesize/articles/zk4kvwx



We have done this topic at school so everyone should be

able to have a go!

You don’t need to print off the ‘Classroom Secrets’ sheet.

You can do all of your working out in your yellow books.



Maths lesson 3

Mr Byrom bought 2 apples and 3 pears.He spent £2.64 altogether.

Apples cost 54p each.How much does one pear cost?


1)4

9÷ 8 =

2) 4.278kg x 8 =

3) 74% of 180 =

4) 715423 – 597464 =

5) ____ x 200 = 64

A B C

Warm up answers

A B CMr Byrom bought 2 apples and 3 pears.He spent £2.64 altogether.

Apples cost 54p each.How much does one pear cost?

1)4

9÷ 8 =

𝟒

𝟕𝟐=

𝟏

𝟏𝟖

2) 4.278kg x 8 = 34.224

3) 74% of 180 = 133.2

4) 715423 – 597464 =

117959

5) 0.32 x 200 = 64

£0.54 x 2 = £1.08

£2.64 - £1.08 = £1.56

£1.56 ÷ 3 = £0.52 Look for the perpendicular line!

5cm x 3cm = 15cm2


Follow this link:








You are on Lesson 3 –Use scale factors







Scale factor (sometimes SF, for short):

Basically means how many times bigger or smaller you are making each side

A

B

2 4

Square A has been enlarged by a scale factor of 2 because 2 x 2 = 4

Square B has been enlarged by a scale factor of 0.5 because 4 x 0.5 = 2

This works for regular (same length sides) and irregular (different length sides) – you just have to multiply all sides by the scale factor enlargement.

Don’t fall into this trap!!!

C

D

3

7

Q. Enlarge triangle C by a Scale Factor of 4

Instead of multiplying, I’ve just added 4 to the length, which is incorrect!

You could also say that Square A has doubled in size and Square B has halved in size

Some key words:

Half – x by 0.5Double – x by 2Triple – x by 3Quadruple – x by 4

Can you research and find out what 5x is? 6x is?



Perimeter – distance around the outside of the shape!

How many ways can you think of doing this?!

• A fraction x a fraction (15

1x 1

1

2)

• A whole x a decimal? (15 x 1.5)

• Splitting the enlargement up? [(15 x 1) + (15 x 0.5)]

There are others too!

The small lines on the edge symbolise that the two sides are the same. We call this a

________ triangle



Check your multiplications with an

inverse if you aren’t sure.



MathsWatch – Week 13 day 3 multiplying and dividing by powers of 10, 100 https://vle.mathswatch.co.uk/vle/BBC Bitesize – Multiply decimals by 10, 100, 1000https://www.bbc.co.uk/bitesize/articles/z82tjsg



We have done this topic at school so everyone should

be able to have a go! You don’t need to print off the

‘Head start Primary’ & ‘Maths whizz’ sheets. You can

do all of your working out in your yellow books.


https://www.bbc.co.uk/bitesize/articles/z82tjsg

https://www.bbc.co.uk/bitesize/articles/z82tjsg

Maths lesson 4

Noah posts three large letters.The postage costs the same for each letter.He pays with a £20 note.His change is £14.48What is the cost of posting oneletter?


1) 6888 ÷ 28 =

2) 30% of ____ = 21

3) 9 – 2.36 =

4) 8254 x 46 =

5) 6 2

3– 1

9

10=

A B C

Warm up answers

A B C1) 6888 ÷ 28 = 246

2) 30% of 70 = 21

3) 9 – 2.36 = 6.64

4) 8254 x 46 = 379684

5) 6 2

3– 1

9

10= 143

30= 4

23

30

Noah posts three large letters.The postage costs the same for each letter.He pays with a £20 note.His change is £14.48What is the cost of posting oneletter?

£20.00 - £14.48 = £5.52

£5.52 ÷ 3 = £1.84

Remember the = symbol means equal to/the same as.

1

10of 680 = 68

68 ÷ 2 = 3410% = 3434 x 10 = 340

Or once you know 20% =68, then x it by 5 to get 340


Follow this link:








You are on Lesson 4 –Ratio and proportion problems







Ratio tables are key here:

1 person 2 people

5 sweets

6 chocolate

___ drink

__ sweets

___ chocolates

500ml drink

BEFORE WE START:

What do we multiply 1 by to get 2?

We multiply by 2 so therefore each part of the

question requires this information (either to x or

÷)1 person -> x 2 -> = 2 people

5 sweets -> x 2 -> = 10 sweets

6 chocolates -> x2 = 12 chocolates

250ml drink = ÷ 2 <- 500ml drink

This one goes the other way! We know 2 people so what do we divide 2 by to

make 1?

There are 6 red to every 2 blue counters in a pile. There are 32 counters in total. How many blue are there? Again – knowing your times

tables is key here!

Step 1: Write it out

Red : Blue : Total

6 2

32

We know our starting ratio. So let’s work out how many counters that gives us 6 + 2 = 8.

8

Step 2: Solve it!

There are 32 counters in the pile. Each ‘part’ is 8 counters. How many times does 8 go into 32? 4

We need to multiply everything by 4

24 8


Is 15 a multiple of 6?

You will have to add another step – find a multiple of 6 that is also a multiple of 15 – for

example, 30.

Now consider:

To go from 6 -> 30, I multiply by 5 and then 30 -> 15, I divide by 2.

What other ways can you think of doing?

Watch for that non-multiple question again! This time, I won’t give you any tips but remember to

use what you did for 1c)


Is there an easier way than finding your

common multiples of 500 and 750?!

What do you notice about these numbers?

1000ml = 1 litre



If you found these tricky or couldn’t access them or have finished and want something else to do…that’s fine!Please do these :

MathsWatch – Week 13 day 4 short multiplication integers and decimals https://vle.mathswatch.co.uk/vle/

Click on the picture to follow the link on to the

BBC Bitesize game where you can use all of your

different maths skills in the Battle for

Mathmatica!

If it doesn’t work, here is the link for the

website:

https://www.bbc.co.uk/bitesize/topics/zd2f7nb

/articles/zn2y7nb


https://www.bbc.co.uk/bitesize/topics/zd2f7nb/articles/zn2y7nb

https://www.bbc.co.uk/bitesize/topics/zd2f7nb/articles/zn2y7nb

Maths lesson 5

A group of friends earns £90 by washing cars.They share the money equally.They get £18 each.How many friends are in the group?


1) ⅜ of 448 =

2) 239 x 46 =

3) ____ = 17 ÷ 1000

4) 3¾ x 9 =

5) 3588 ÷ 26 =

A B C

Warm up answers

A B CA group of friends earns £90 by washing cars.They share the money equally.They get £18 each.How many friends are in the group?

1) ⅜ of 448 = 168

2) 239 x 46 = 10994

3) 0.017 = 17 ÷ 1000

4) 3¾ x 9 = 33¾ or

33.75

5) 3588 ÷ 26 =

138

90 ÷ 18 = 5

Check using the inverse!

18 x 5 = 90

Volume of 1 book = 15cm x 6cm x 0.5cm = 45cm3

45cm3 x 8 = 360cm3 or 3.6m3

• Remember to use your maths methods

• Make your decimal points clear

• Check you have written the correct answer in the box

• Write your numbers neat and clear so the marker can read them

Today is a chance for you to practice your arithmetic skills. You would normally have 30mins, but you can have 40mins if you need it (seeing as you are working from home)

Either write on the paper, or in your home book

Here are your questions – remember to set them out properly and don’t fall for any tricks!

1) 4 x 8

2) ____ = 2612 - 1000

3) 295 ÷ 1

4) 367 - 8

5) 96 ÷ 3

6) 295 + 20

7) ___ = 2658 + 718

8) 7 x 3 x 4

9) 28.1 + 0.6

10) 540 - 370

11) 427 x 6

12) 40 x 70

13) 482 ÷ 100

14) 448 ÷ 7

15) 17

19-12

19

16) 5.007 + 4.34

17) 42 000 ÷ 6

18) 33.45 + 6.743

Please read the questions carefully. I don’t want anyone to lose marks because you’ve copied it down wrong!

You’re 50% of the way through, just another 1

2to go!:

19) 177 423 – 63 999

20) 6 – 4.55

21) 11² + 9

22) 40% x 250

23) 0.7 x 9

24) 3

4of 120

25) 493 x 24

26) 3

8+

5

16

27) 5184 ÷ 16

28) 35% of 120

29) (38 + 12) ÷ 5 - 3

30) 1 2

7+

5

14

31) 3

23x 4

32) 2641 x 35

33) 5

12-2

9

34) 3

7x 4

5

35) 7

36÷ 2

36) 1539 ÷ 27

Don’t worry if there are things you aren’t sure about – you can skip them and come back later if you have time.

Before you look at the answers, remember…

Answers ☺. Don’t worry if you got some wrong, see if you can see where you went wrong and correct it.

1) 4 x 8 = 32

2) 1612= 2612 - 1000

3) 295 ÷ 1 = 295

4) 367 – 8 = 359

5) 96 ÷ 3 = 32

6) 295 + 20 = 315

7) 3376 = 2658 + 718

8) 7 x 3 x 4 = 84

9) 28.1 + 0.6 = 28.7

10) 540 – 370 = 170

11) 427 x 6 = 2562

12) 40 x 70 = 2800

13) 482 ÷ 100 = 4.82

14) 448 ÷ 7 = 64

15) 17

19-12

19=

5

19

16) 5.007 + 4.34 = 9.347

17) 42 000 ÷ 6 = 7 000

18) 33.45 + 6.743 = 40.193

Answers ☺. Don’t worry if you got some wrong, see if you can see where you went wrong and correct it.

See how you did /40.

It would be great if you could let me know your scores!

19) 177 423 – 63 999 = 113424

20) 6 – 4.55 = 1.45

21) 11² + 9 = 130

22) 40% x 250 = 100

23) 0.7 x 9 = 6.3

24) 3

4of 120 = 75

25) 493 x 24 = 11832 (2 marks)

26) 3

8+

5

16= 11

16

27) 5184 ÷ 16 = 324 (2 marks)

28) 35% of 120 = 42

29) (38 + 12) ÷ 5 – 3 = 7

30) 1 2

7+

5

14= 1

9

14

31) 3

23x 4 =

12

23

32) 2641 x 35 = 92435 (2 marks)

33) 5

12-2

9=

7

36

34) 3

7x 4

5= 12

35

35) 7

36÷ 2 =

7

72

36) 1539 ÷ 27 = 57 (2 marks)

This is the end of the Maths lessons for this week. Well done on completing your work.☺

Remember, you’ve also got the pixl app, Mathswatch and tt rockstars if you can’t wait until your next set of lessons.

Documents

Pupil and parent learning sheet · 10 = 143 30 = 4 23 30 Noah posts three large letters. The postage costs the same for each letter. He pays with a £20 note. His change is £14.48