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Globe Academy Home Learning Booklet “Climbing the Mountain to Success” Home Learning Booklet Name: _________________________ Subject: Mathematics Class Group: Year 10 Teacher: Mr Clifford Develop a passion for learning. If you do, you will never cease to grow. Anthony J. D'Angelo

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Page 1: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Booklet

Name: _________________________

Subject: Mathematics

Class Group: Year 10

Teacher: Mr Clifford

Develop a passion for learning. If you do, you will never cease to grow.

Anthony J. D'Angelo

Page 2: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Record

After completing each Home Learning task please complete the record boxes below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:

Page 3: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Task One

1 Amy has 10 CDs in a CD holder.

Amy’s favourite group is Edex.

She has 6 Edex CDs in the CD holder.

Amy takes one of these CDs at random.

She writes down whether or not it is an Edex CD.

She puts the CD back in the holder.

Amy again takes one of these CDs at random.

(a) Complete the probability tree diagram.

(2)

Amy had 30 CDs.

The mean playing time of these 30 CDs was 42 minutes.

Amy sold 5 of her CDs.

The mean playing time of the 25 CDs left was 42.8 minutes.

(b) Calculate the mean playing time of the 5 CDs that Amy sold.

......................... minutes (3)

(Total 5 marks)

0.6

..........

Second choice

..........

First choice

..........

..........

..........

EDEXCD

EDEXCD

EDEXCD

NOT-EDEXCD

NOT-EDEXCD

NOT-EDEXCD

Page 4: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

2. Simon plays one game of tennis and one game of snooker.

The probability that Simon will win at tennis is

The probability that Simon will win at snooker is

(a) Complete the probability tree diagram below.

(2)

(b) Work out the probability that Simon wins both games.

..................................... (2)

(c) Work out the probability that Simon will win only one game.

..................................... (3)

(Total 7 marks)

4

3

3

1

Simonwins

Simondoes notwin

34

..........

13

..........

Simonwins

Simondoes notwin

..........

Simonwins

Simondoes notwin

..........

tennis snooker

Page 5: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Record

After completing each Home Learning task please complete the record boxes below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:

Page 6: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Page 7: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Task Two 1) Ahmed, Ben and Cara were given a total of £720

They shared the money in the ratio 3 : 2 : 7

Work out how much money each person received.

Ahmed £ ...........................

Ben £ ...........................

Cara £ ...........................

(3 marks)

2) Bill gave his three daughters a total of £32.40.

The money was shared in the ratio 4:3:2.

Jane had the largest share.

Work out how much money Bill gave to Jane.

£ ....................

(3 marks)

Page 8: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success” 3) Three teams A, B and C run a race.

There is one boy and one girl in each team.

miles. 7 is race The

21

miles. 7 theofpart runs each teamin person One21

Then the other persons runs the rest of the race.

Information about how far each member of a team runs in the boxes below.

Team A:

Ann and Alan

Team B:

Beth and Ben

Team C:

Clare and Colin

Ann and Alan

each run an

equal distance

Beth and Ben

run distances

in the ratio 2:3

Clare runs the miles,3 first

54

Colin runs the

rest

(a) Work out the distance Ann runs.

..................... miles

(2 marks)

(b) Work out the distance Ben runs.

..................... miles

(3 marks)

(c) Work out the distance Colin runs.

..................... miles

(2 marks)

Page 9: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Record

After completing each Home Learning task please complete the record boxes below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:

Page 10: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Task Three 1) It needs 20 litres of orange drink to fill 50 cups.

(a) Work out how many litres of orange drink are needed to fill 60 cups.

(2 marks)

The total cost of orange drink for 50 cups is £7.50.

Each cup of drink is sold at a 20% profit.

(b) Work out the price at which each cup of orange drink is sold.

......................... p

(3 marks)

Fred has a recipe for 30 biscuits.

Here is a list of ingredients for 30 biscuits.

Self-raising flour : 230g

Butter : 150g

Caster sugar : 100g

Eggs : 2

Fred wants to make 45 biscuits.

(a) Complete his new list of ingredients for 45 biscuits.

Self-raising flour :

Butter :

Caster sugar :

Eggs : (3 marks)

The recipe gives the baking temperature as 350 Fahrenheit, F.

A modern oven shows baking temperature in Celsius, C.

(b) Use the formula C = 5(F32)

9

to change 350 Fahrenheit to Celsius.

Give your answer correct to the nearest degree. (3 marks)

Gill has only 1 kilogram of self-raising flour. She has plenty of the other ingredients.

(c)Work out the maximum number of biscuits that Gill could bake. (3 marks)

Page 11: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success” This is a map of part of Northern England.

Scale: 1 cm represents 10 km

A radio station in Manchester transmits programmes.

Its programmes can be received anywhere within a distance of 30 km.

On the diagram, shade the region in which the programmes can be received. (Total 2 marks)

X

X

X

X

X

X

X

X

Blackpool

Wigan

Manchester

Preston

Liverpool

Chester

Stoke-on-Trent

HalifaxN

Page 12: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Record

After completing each Home Learning task please complete the record boxes below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:

Page 13: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Task Four

1. Rosie had 10 boxes of drawing pins.

She counted the number of drawing pins in each box.

The table gives information about her results.

Number of

drawing pins Frequency

29 2

30 5

31 2

32 1

(a) Write down the modal number of drawing pins in a box.

................................. (1)

(b) Work out the range of the number of drawing pins in a box.

................................. (1)

(c) Work out the mean number of drawing pins in a box.

................................. (3)

(Total 5 marks)

3. Charles found out the length of reign of each of 41 kings.

He used the information to complete the frequency table.

Length of reign

(L years) Number of kings

0 < L 10 14

10 < L 20 13

20 < L 30 8

30 < L 40 4

40 < L 50 2

Page 14: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success” (a) Write down the class interval that contains the median.

….……………………. (2)

(b) Calculate an estimate for the mean length of reign.

…………………. years (4)

(Total 6 marks)

Fred did a survey of the time, in seconds, people spent in a queue at a supermarket.

Information about the times is shown in the table.

Time (t seconds) Frequency

0 < t ≤ 40 8

40 < t ≤ 80 12

80 < t ≤ 120 14

120 < t ≤ 160 16

160 < t ≤ 200 10

(a) Write down the modal class interval.

………………………seconds (1)

A person is selected at random from the people in Fred’s survey.

(b) Work out an estimate for the probability that the person selected spent more than 120 seconds in

the queue.

……………………… (2)

(Total 3 marks)

Page 15: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Record

After completing each Home Learning task please complete the record boxes below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:

Page 16: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Home Learning Task Five

1.

XYZ is a right-angled triangle.

XY = 3.2 cm.

XZ = 1.7 cm.

Calculate the length of YZ.

Give your answer correct to 3 significant figures.

2.

ABCD is a rectangle.

AC = 17 cm.

AD = 10 cm.

Calculate the length of the side CD.

Give your answer correct to one decimal place.

................................... cm (Total 3 marks)

Diagram accurately drawn

NOT

3.2 cm

1.7 cm

X Y

Z

10 cm17 cm

A B

CD

Diagram Taccurately drawn

NO

Page 17: Home Learning Booklet - Ark Globe Academyarkglobeacademy.org/sites/default/files/44/attachments/Maths Year... · Globe Academy Home Learning Booklet “Climbing the Mountain to Success”

Globe Academy Home Learning Booklet “Climbing the Mountain to Success” 3.

Diagram NOT accurately drawn

The diagram shows three cities.

Norwich is 168 km due East of Leicester.

York is 157 km due North of Leicester.

Calculate the distance between Norwich and York.

Give your answer correct to the nearest kilometre.

................................ km (Total 3 marks)

4.

Diagram NOT accurately drawn

A rectangular television screen has a width of 45 cm and a height of 34 cm.

Work out the length of the diagonal of the screen.

Give your answer correct to the nearest centimetre.

................................. cm