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Maths Home Learning Task
Year 9
Number
Name
Tutor Group
Teacher
Given out: Monday 10 October Hand in: Monday 17 October
Parent/Carer Comment
Staff Comment
ATL
Level
Targets to Improve:
Instructions
You should attempt as many of the tasks as you can. These are the
minimum amounts expected of you:
Set 1: Attempt all of the tasks.
Set 2: Attempt the first 9 tasks.
Set 3: Attempt the first 7 tasks.
Set 4: Attempt the first 5 tasks.
This booklet should take 5 hours to complete so spread the work out over all 5
days.
Complete the tasks neatly in the spaces provided and show all working.
Remember to fill in the evaluation sheet at the end before you hand the booklet
in.
KEYWORDS:
Fraction of amount, equivalent fraction, simplify, percentage, ratio, square root,
multiplier, percentage change, standard form, interest, compound interest,
surd.
Topics to revise:
To help with this booklet you may wish to revise the following topics on My
Maths or any other resources (including your teacher):-
• Negative numbers• Fractions of amounts• Equivalent Fractions• Rounding to nearest 100, 1000• Percentages of amounts• Sharing into ratio and proportion• Multipliers and percentages• Interest and percentages• Standard form• Surds
Task 1: Number Problems (Level 3)
a) Triangular Sums:- The numbers in the two circles add together to give
the number in the square between them. Fill in the gaps below.
b) Multiplication grids:- Fill in the missing numbers in the grid.
c) Complete the calculations and use the code to write a word.
6 X 4 = 18 – 12 = 2 X 9 =
11 – 3 = 3 X 8 = 4 X 5 =
25 X 2 = 2 X 4 = 9 X 4 =
3 X 4 = 150 – 100 =
41
23 19 23 36
52
X 2 3 7
2 14
4
5 15
6 12
X 3 4 10
1
8
7 21
80
X 1 3
8 16
7
2
12
M T I C E A H S
24 50 18 20 6 8 12 36
Task 2: Numbers in Europe (Level 4)
In the table below is some of Europe’s coldest temperatures ever recorded.
a) Put the countries’ temperatures in order of size, starting with the coldest.
b) The temperature in Sweden this year was 39˚C warmer than the coldest
recorded. Calculate Sweden’s temperature for this year.
c) Calculate the difference in temperatures between Malta and the UK.
d) Charlie says ‘ If you add the temperatures in Iceland, Spain and Sweden the
total will be bigger than -100 ˚C.’ Show that he is correct.
e) Using the table of European mountain heights, round each height to the
nearest 100 and 1000 m.
Country Temp (C)
Iceland - 37
United Kingdom - 27
Spain - 32
Malta 2
Portugal -16
Sweden - 53
Italy - 49
Mountain Height (m) Nearest 100m Nearest 1000m
Ben Nevis 1344
Mont Blanc 4807
Matterhorn 4478
Mount Elbrus 5642
Task 3: Shopping style (Level 4)
Sandra owns a shop, the layout of the shop is shown in the diagram below.a) Using the diagram calculate the percentage being represented by each
section of shop. (HINT: % is out of 100, what is one square worth?)
a) The following items are sold at Sandra’s shop.
Sandra has a sale, the items above have 10% off Calculate the new prices.
Show your working
c) In the gift section, Sandra has the following items.
The items above have 20% off. Amy wants to buy all the items, she has £20. How
much do the items cost in the sale? Does Amy have enough?
Show your working
Till
ClothesGifts
Till: %
Gifts: %
Clothes: %
Bags: %
Bags
£30 £25 £55
£6.00 £10.00£12.00
Task 4: Problems of Vast Proportion (Level 5)
a) Lily wants to make 18 cakes, how much of each ingredient does she need?
Eggs:
Flour:
Sugar:
Butter:
Vanilla:
b) Ben wants to make 30 cakes, how much of each ingredient does he need?
Eggs:
Flour:
Sugar:
Butter:
Vanilla:
c) Lily wants to buy some spotty cases for her fairy cakes, which shop is the
cheapest? How many packs will she need to buy?
d) Ben is going to sell his 30 cakes at the school fete. He is going to charge 40p per
cake. Ben paid £4.30 for his ingredients. How much profit does he make?
Cake Emporium
5 cases for £1.20
Kath’s Cakes
10 cases for £2.50
Task 5: Fraction Frenzy (Level 5)
a) Find sets of equivalent fractions (one has been completed for you).
2
3
20
24
3
4
10
12
4
6
5
6
6
8
30
100
6
20
10
25
9
12
8
12
3
10
2
5
4
10
b) Sam is following a recipe and is using some ingredients, the recipe is given in
fractions of amounts. Calculate how much of each ingredient she needs.
i) 3
5of 450g (flour) =
ii) 5
11of 220g (sugar) =
iii) 4
9of 45ml (golden syrup) =
iv) 5
6of 480ml (milk) =
c) Johnny inherits £450 from his nan. He spends 1
25on sweets,
4
9on a games
console, and 1
10on clothes. How much does he have left? SHOW YOUR WORKING
Task 6: Primes, Factors and Multiples (Level 6)
a) Find the HCF (highest common factor) of the following pairs of numbers:
i) 30 and 42 =
ii) 18 and 66 =
b) Find the LCM (lowest common multiple) of the following pairs of numbers:
i) 15 and 25 =
ii) 33 and 21 =
c) Tom, Sam and Matt are counting drum beats.
Tom hits a snare drum every 2 beats
Sam hits a kettle drum every 5 beats
Matts hits a bass drum every 8 beats.
Tom, Sam and Matt start by hitting their drum at the same time. How many beats
is it before they next hit their drums at the same time?
d) Find the prime factor decomposition of 72 (HINT – find factor pairs).
Task 7: Roaring Ratios (Level 6)
a) On Friday, the ratio of Ralph the Lion’s sleeping to the time awake was 3 : 5.
Ralph slept for less time than he was awake. How many hours was Ralph
sleeping? (Show your working)
b) On Saturday Ralph slept for one hour more than he did on Friday. Show the
ratio of the time he is sleeping to being awake. (Simplify the ratio)
c) Ralph eats 63 kg worth of food per week. He eats vegetables, fruit and meat in
the ratio of 1: 2: 4. How much of each food type does Ralph eat?
Vegetables = Fruit = Meat =
Task 8: Getting to the Root of the Problem (Level 6)
a) Tom is wanting to fence his garden. However, the length of his garden has
been given as roots of numbers. Calculate the perimeter of his garden in
metres.
Perimeter =
b) Sarah bought a ring in a cube-shaped box with a volume 8 cm³. She put the
ring box in her jewellery box, also a cube. The jewellery box is 6 times as long as
the ring box.
i) What is the volume of the jewellery box?
ii) How many ring boxes can Sarah fit in her jewellery box?
√81
√36
Not drawn
accurately
10% Rise
15% Fall
25% Rise
5% Loss
15% Rise
50% Decrease
0.85
1.1
0.95
0.5
1.25
1.15
Task 9: Polly’s Percentages (Level 7)
a) Match each percentage change to the correct multiplier ticket.
b) Polly has done a stock take of clothing in her shop and has decided to change
the prices of the following items.
Calculate the new prices using multipliers. (YOU MUST SHOW YOUR WORKING)
Shirt =
Jeans =
Shoes =
Task 10: Population Percentages (Level 7)
The table below shows the country’s population (in millions) in 2000 and 2012.
Calculate the percentage change of each country and fill in the table above.
Which country had the biggest percentage change?
Example:- China = 1343 – 1269 = 7474 ÷ 1269 x 100 = 5.8% increase
Working
Country Population (2000) Population (2012) Percentage Change
China 1269 1343 5.8% increase
India 1004 1205
United States 282 313
Indonesia 214 248
Brazil 176 193
Pakistan 146 190
Nigeria 123 170
Bangladesh 130 161
Russia 147 143
Japan 127 127
Task 11: Spacey Standard Form (Level 8)
The table shows the diameters of the planets in the solar system in standard
form.
a) Which planet has the biggest diameter? (Give your answer as an ordinary
number)
b) Which planet has the smallest diameter? (Give your answer as an ordinary
number)
c) The planet Zog has a diameter of 5 340 000 metres. Write this number in
standard form.
a) Put the planets in order of size, starting with the smallest.
1. 5. 9.
2. 6.
3. 7.
4. 8.
Task 12 : Sort After Savings…. (Level 8)
Josie has £3500 she wants to invest into a savings account, she wants to save
for 3 years.
Which savings account shown above will give her the most interest after the 3
years? (HINT: After the 1st year, Josie will gain interest on the interest earned
already in year 2 and so on.) SHOW ALL YOUR WORKING
Bank:
Bertie’s BankReceive £100 bonus
when you invest £2000
or more.
5.1% interest
Sally’s Savings5.1% interest on the
first £3000 then 6.4%
on any further
investment.
Percy’s Pennies£50 set-up fee. Invest
a maximum if £3600 a
year.
6.4% interest
Task 13: Soapy Surds (Level 8)
Chris and Mary are decorating their kitchen and bathroom and have purchased
new sinks.
a) The lengths of the kitchen sink is shown above. Calculate the perimeter of
the sink. Simplify your answer, leave in surd form
b) The area of the square bathroom sink is 80 cm² (to the nearest cm). Calculate
the length of one side. Give your answer in surd form. (HINT: Simplify surd)
√11 + 2
√11- 2
Self Evaluation of my Homework
I am a R.......................................Learner.
I know this because
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I believe I am working at Level ................ My target is Level ……….
To improve I need to practise
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