Year 6 Maths Home learning WB 11.5

This week, we would like you to continue following White Rose’s daily maths lessons Week 4- Fractions. Remember that you do not need a printer at home, it is perfectly fine to write your working out and answers on a piece of paper. The school have now purchased White Rose Premium and the daily activity sheets are now attached to this letter.

https://whiterosemaths.com/homelearning/summer-term/

1. Click on the set of lessons for your child’s year group. 2. Watch the video (either on your own or with your child). 3. Find a calm space where your child can work for about 20-30 minutes. 4. Use the video guidance to support your child as they work through a lesson.

Below your weekly Maths timetable, you can find lots of useful links and resources. We will be updating this list weekly with any new resources that become available.

Remember to email your teacher a picture of your completed work. If you have any questions, please email your class teacher.

Week 4- Fractions

Monday - Lesson 1 – Multiply Fractions by Integers https://whiterosemaths.com/homelearning/year-6/

Tuesday- Lesson 2 – Multiply Fractions by Fractions https://whiterosemaths.com/homelearning/year-6/

Wednesday – Lesson 3 – Divide Fractions by Integers https://whiterosemaths.com/homelearning/year-6/

Thursday – Lesson 4 – Fractions of an Amount https://whiterosemaths.com/homelearning/year-6/

Friday – Lesson 5 Friday Maths challenge https://whiterosemaths.com/homelearning/year-6/

Extra Links and Resources

https://login.mathletics.com/ Remember to continue to work through the activities set by your teacher.

https://www.bbc.co.uk/bitesize/dailylessons BBC Bitesize are uploading daily maths lessons

https://www.themathsfactor.com/ Carol Vorderman’s The Maths Factor will be free while schools are closed (normally £2/week).

https://www.twinkl.co.uk/home-learning-hub Sign up for a free Twinkl account and have a look at their new Home Learning Hub for more daily lessons and activities.

https://corbettmathsprimary.com/content/ Corbettmaths is full of individual videos and activities for each maths topic.

https://mathsframe.co.uk/ Mathsframe has more than 200 interactive maths games and 300 maths worksheets and assessments linked to the curriculum.

https://www.topmarks.co.uk/maths-games/7-11-years/ordering-and-sequencing-numbers

Another website full of interactive teaching tools and learning games.

https://classroomsecrets.co.uk/category/sats-practice-questions/sats-arithmetic/

Practice SATs questions for Maths and English

3 Completethecalculations.

a) 13

×1= b) 34

×1=

13

×2= 34

×2=

13

×3= 34

×3=

13

×4= 34

×4=

13

×5= 34

×5=

13

×6= 34

×6=

Whatpatternsdoyounotice?

4 Completethemultiplication.

225

×3=

Whatmethoddidyouuse?Isthereadifferentmethodyoucould

haveused?

Multiply fractionsby integers

1 Completethecalculations.

a)

27

×2=

b)

3× 310=

2 a) Shadethebarmodelstoshow 25

×4

b) Completethemultiplication.

25

×4=

©WhiteRoseMaths2019

0 1

5 Matchthecalculations.

23

+ 23

12

×6

14

×24 18× 14

34

+ 34

+ 34

+ 34

16

×10

512

×4 12× 12

112

×3 13

×4

6 Writeeachanswerasamixednumberinitssimplestform.

a) 115

×2= d) 225

×5=

b) 216

×3= e) 7×312

=

c) 225

×4= f) 1115

×7=

©WhiteRoseMaths2019

7 Fillinthemissingnumbers.

a) 27

×3=667

b) 28

×3=712

8 Tommy’sdogeats312

tinsoffoodaweek.

Howmanytinsdoessheeatinayear?

9

Jackbuildsatowerusinggreyblocks.

Alexbuildsatowerusingredblocks.

Thetowersareexactlythesameheight.

Howmanyblockscouldtheyeachhaveused?

212

ft316

ft

b) 12

× 23

= 12

12

13

13

13

3 a) Divide the square to show that 23

× 34

is equal to 612

b) Mo says 23

× 34

is equal to 12

Is Mo correct?

Explain your answer.

Multiply fractionsby fractions

1 Dexter works out 12

× 13

using a grid method.

12

12

13

13

13

Explain how this shows 12

× 13 =

16

2 Shade the diagrams to show the fraction multiplications.

Complete the multiplications.

a) 12

× 14

= 12

12

14

14

14

14

© White Rose Maths 2019

4 Complete the calculations.

a) 14

× 15

= e) 34

× 15

=

b) 15

× 16

= f) 25

× 56

=

c) = 17

× 18

g) 57

× 58

=

d) 18

× 19

× 110

= h) 38

× 29

× 310

=

5 Use the diagram to complete the calculations.

a) 13

of 14 =

b) 23

of 34 =

c) What do you notice about your answers?

Talk to your partner.

6 Fill in the missing numbers.

a) 110

= 12

× 1 b) 15

× 3

= 215

7 Fill in the missing numbers.

a) 110

= 4

× 5

b) 14

= 4

× 5

© White Rose Maths 2019

8 Calculate the area of the shapes.

a) b)

Area = m2 Area = m2

9 Work out the area of the shaded part.

23 m

45 m

910 m

910 m

26 m

37 m

110 m

110 m

d) Draw a diagram to help you work out the answer to 45

÷ 3

2 Complete the divisions using the diagrams to help you.

a) 13

÷ 2 =

b) 13

÷ 3 =

c) 23

÷ 3 =

3 34

of a kilogram of rice is divided equally between two bowls.

How much rice is in each bowl?

Divide fractionsby integers (2)

1

a) Write two things that are the same about the calculations.

b) Write one thing that is different about the calculations.

c) Draw a diagram to help you work out the answer to 45

÷ 2

© White Rose Maths 2019

Rice

45

÷ 2 45

÷ 3

4 Work out the divisions.

a) 15

÷ 7 = f) = 56

÷ 12

b) = 16

÷ 3 g) 83

÷ 7 =

c) 14

÷ 9 = h) = 1920

÷ 5

d) = 17

÷ 6 i) 1100

÷ 25 =

e) 49

÷ 7 = j) = 4550

÷ 20

5 Write < , > or = to complete each statement.

a) 13

÷ 5 15

÷ 3

b) 13

÷ 3 15

÷ 5

c) 35

÷ 5 35

÷ 3

© White Rose Maths 2019

6 There are some cones in the PE shed.

Classes 1, 2 and 3 share them equally.

• Class 1 put theirs into 4 equal piles.

• Class 2 put theirs into 5 equal piles.

• Class 3 put theirs into 11 equal piles.

What fraction of the whole number of cones is in each pile?

Fraction in each pile

Class 1

Class 2

Class 3

7 a) Which of these statements are true? Tick your answers.

12

÷ 2 is equal to 12

× 12

12

÷ 4 = 12

× 14

12

÷ 3 = 12

× 13

12

÷ 5 = 12

× 15

b) What do you notice?

Is it only true for halves?

Does it work for non-unit fractions?

Talk to a partner.

3 Calculatethemissingvalues.

a)

35

of200=

b)

27

of140litres=

c)

49

of£1,800=

d)

311

of990=

Fractionsofanamount

1

a) Shade 15

ofthebarmodel.

b) Whatis 15of20?

2 Useyourtimestablesknowledgetosolvethecalculations.

a) 13

of12= d) 110

of80cm=

b) 14

of£20= e) 112

of60=

c) 15

of35m= f) 17

of84kg=

Nowuseyouranswerstosolvethesecalculations.

a) 23

of12= d) 710

of80cm=

b) 34

of£20= e) 1112

of60=

c) 35

of35m= f) 67

of84kg=

©WhiteRoseMaths2019

200

140litres

£1,800

990

20

4 a) Inaschoolof480pupils, 23

arejuniors.

Howmanyjuniorsareintheschool?

b) Afactorymakes256cars.

38

areelectriccars.

Howmanyelectriccarsdoesthefactorymake?

c) Brettuses 25

ofhis£180savingstobuyatrainticket.

Howmuchofhissavingsdoeshehaveleft?

5

Alexhas288moffencetopaint.

Shepaints 312

ofthewholefenceonMonday.Shethenpaints 12

of

whatisleftonTuesday.

Howmuchfencedoesshehavelefttopaint?

©WhiteRoseMaths2019

6 Fillinthemissingnumbers.

a) 10

of$500=$150 c) 42=100

of700

b) 4

of100kg=75kg d) 450=20

of3,000

7 Findthevaluesofaandb.

a= b=

480

a

b

Hussein

Typewriter

Answers

3 Completethecalculations.

a) 13

×1= b) 34

×1=

13

×2= 34

×2=

13

×3= 34

×3=

13

×4= 34

×4=

13

×5= 34

×5=

13

×6= 34

×6=

Whatpatternsdoyounotice?

4 Completethemultiplication.

225

×3=

Whatmethoddidyouuse?Isthereadifferentmethodyoucould

haveused?

Multiply fractionsby integers

1 Completethecalculations.

a)

27

×2=

b)

3× 310=

2 a) Shadethebarmodelstoshow 25

×4

b) Completethemultiplication.

25

×4=

©WhiteRoseMaths2019

0 1

5 Matchthecalculations.

23

+ 23

12

×6

14

×24 18× 14

34

+ 34

+ 34

+ 34

16

×10

512

×4 12× 12

112

×3 13

×4

6 Writeeachanswerasamixednumberinitssimplestform.

a) 115

×2= d) 225

×5=

b) 216

×3= e) 7×312

=

c) 225

×4= f) 1115

×7=

©WhiteRoseMaths2019

7 Fillinthemissingnumbers.

a) 27

×3=667

b) 28

×3=712

8 Tommy’sdogeats312

tinsoffoodaweek.

Howmanytinsdoessheeatinayear?

9

Jackbuildsatowerusinggreyblocks.

Alexbuildsatowerusingredblocks.

Thetowersareexactlythesameheight.

Howmanyblockscouldtheyeachhaveused?

212

ft316

ft

b) 12

× 23

= 12

12

13

13

13

3 a) Divide the square to show that 23

× 34

is equal to 612

b) Mo says 23

× 34

is equal to 12

Is Mo correct?

Explain your answer.

Multiply fractionsby fractions

1 Dexter works out 12

× 13

using a grid method.

12

12

13

13

13

Explain how this shows 12

× 13 =

16

2 Shade the diagrams to show the fraction multiplications.

Complete the multiplications.

a) 12

× 14

= 12

12

14

14

14

14

© White Rose Maths 2019

4 Complete the calculations.

a) 14

× 15

= e) 34

× 15

=

b) 15

× 16

= f) 25

× 56

=

c) = 17

× 18

g) 57

× 58

=

d) 18

× 19

× 110

= h) 38

× 29

× 310

=

5 Use the diagram to complete the calculations.

a) 13

of 14 =

b) 23

of 34 =

c) What do you notice about your answers?

Talk to your partner.

6 Fill in the missing numbers.

a) 110

= 12

× 1 b) 15

× 3

= 215

7 Fill in the missing numbers.

a) 110

= 4

× 5

b) 14

= 4

× 5

© White Rose Maths 2019

8 Calculate the area of the shapes.

a) b)

Area = m2 Area = m2

9 Work out the area of the shaded part.

23 m

45 m

910 m

910 m

26 m

37 m

110 m

110 m

d) Draw a diagram to help you work out the answer to 45

÷ 3

2 Complete the divisions using the diagrams to help you.

a) 13

÷ 2 =

b) 13

÷ 3 =

c) 23

÷ 3 =

3 34

of a kilogram of rice is divided equally between two bowls.

How much rice is in each bowl?

Divide fractionsby integers (2)

1

a) Write two things that are the same about the calculations.

b) Write one thing that is different about the calculations.

c) Draw a diagram to help you work out the answer to 45

÷ 2

© White Rose Maths 2019

Rice

45

÷ 2 45

÷ 3

4 Work out the divisions.

a) 15

÷ 7 = f) = 56

÷ 12

b) = 16

÷ 3 g) 83

÷ 7 =

c) 14

÷ 9 = h) = 1920

÷ 5

d) = 17

÷ 6 i) 1100

÷ 25 =

e) 49

÷ 7 = j) = 4550

÷ 20

5 Write < , > or = to complete each statement.

a) 13

÷ 5 15

÷ 3

b) 13

÷ 3 15

÷ 5

c) 35

÷ 5 35

÷ 3

© White Rose Maths 2019

6 There are some cones in the PE shed.

Classes 1, 2 and 3 share them equally.

• Class 1 put theirs into 4 equal piles.

• Class 2 put theirs into 5 equal piles.

• Class 3 put theirs into 11 equal piles.

What fraction of the whole number of cones is in each pile?

Fraction in each pile

Class 1

Class 2

Class 3

7 a) Which of these statements are true? Tick your answers.

12

÷ 2 is equal to 12

× 12

12

÷ 4 = 12

× 14

12

÷ 3 = 12

× 13

12

÷ 5 = 12

× 15

b) What do you notice?

Is it only true for halves?

Does it work for non-unit fractions?

Talk to a partner.

3 Calculatethemissingvalues.

a)

35

of200=

b)

27

of140litres=

c)

49

of£1,800=

d)

311

of990=

Fractionsofanamount

1

a) Shade 15

ofthebarmodel.

b) Whatis 15of20?

2 Useyourtimestablesknowledgetosolvethecalculations.

a) 13

of12= d) 110

of80cm=

b) 14

of£20= e) 112

of60=

c) 15

of35m= f) 17

of84kg=

Nowuseyouranswerstosolvethesecalculations.

a) 23

of12= d) 710

of80cm=

b) 34

of£20= e) 1112

of60=

c) 35

of35m= f) 67

of84kg=

©WhiteRoseMaths2019

200

140litres

£1,800

990

20

4 a) Inaschoolof480pupils, 23

arejuniors.

Howmanyjuniorsareintheschool?

b) Afactorymakes256cars.

38

areelectriccars.

Howmanyelectriccarsdoesthefactorymake?

c) Brettuses 25

ofhis£180savingstobuyatrainticket.

Howmuchofhissavingsdoeshehaveleft?

5

Alexhas288moffencetopaint.

Shepaints 312

ofthewholefenceonMonday.Shethenpaints 12

of

whatisleftonTuesday.

Howmuchfencedoesshehavelefttopaint?

©WhiteRoseMaths2019

6 Fillinthemissingnumbers.

a) 10

of$500=$150 c) 42=100

of700

b) 4

of100kg=75kg d) 450=20

of3,000

7 Findthevaluesofaandb.

a= b=

480

a

b