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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
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:
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
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
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:
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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)
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)
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:
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)
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
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:
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Deadline date:
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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
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)
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:
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
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