Howden School Year 7 Mathematics Homework Booklet Half...
Transcript of Howden School Year 7 Mathematics Homework Booklet Half...
Howden School
Year 7 Mathematics
Homework Booklet
Half Term 2
Levels 2-4
Please complete your maths homework regularly – each
week you have two tasks to complete. Section A which
checks your understanding of some key ideas and skills
and Section B some questions to answer based on
recently completed work. Hand your work in regularly
and your teacher will let you know how well you are
doing and what progress you are making – good luck and
have fun!
Name Tutor
group
Maths Teacher
Hand this booklet in
2
Dear Parent
As outlined on the front cover, mathematics homework in year
7 is organised in a two section format. Section B is made up of
tasks which are split into different levels and your child should
attempt work in line with their working level and target. Your
child should attempt Section A and the level ____ task of
Section B, each week unless otherwise directed by their
teacher – this may mean them completing questions at one, two
or even three levels.
Your child’s working level at the start of year 7 and their end
of year 7 target level is shown at the bottom of this page.
The tasks in this booklet are designed to meet key areas of
maths at levels two, three and four. Any task that has a bold
heading or is marked with an asterisk (*) indicates that the
task is linked to a key area of maths, which needs to be
understood in order to contribute towards being confident
working at that level.
We hope that your child enjoys attempting their maths
homework and achieves success in the process.
Howden Mathematics Department.
KS2 level End of Year 7
Target
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HOMEWORK 8
SECTION A
1 Write down the answer to:
17 - 4 =
2 Write down the answer to:
51 - 28 =
3 How many millimetres are there in 17 centimetre?
4 What is half of 35?
5 What is double 12.5? 6 Write down the largest even number you can make from these digits:
9, 8, 3, 1
7 Write down the first 5 multiples of 7.
8 What is the 7 squared?
9 Continue the pattern. 7, 9, 13, 19, 27 … , … , … ,
10 What do you add to these numbers to make 10? 5.4 6.7 3.21
4
SECTION B
Level 2
Sort the following numbers into the Venn Diagram below.
2, 5, 14, 15, 20, 22, 25, 28, 30, 36, 44, 50
Even
Number
In the five
times table
5
Sort the following numbers into the Venn Diagram below:
13, 21, 40, 17, 56, 73, 3, 84, 101, 5, 98, 11
Odd Number
Larger than 20
6
Level 3
Favourite Colours
0
1
2
3
4
5
6
7
Red Green Blue Yellow
Colour
Fre
qu
en
cy
Use the bar chart above to answer the following questions.
a) How many people said that red was their favourite
colour?
……………………………………
b) How many people’s favourite colours are shown on the bar
chart? Circle your answer.
4 7 13 none of these
c) Change the bar chart to show that 4 people said that blue
was their favourite colour.
7
Draw a pictogram to show the following information:
Pet Owned Frequency
Dog 5
Cat 3
Rabbit 6
Other 10
Key
Typ
e o
f P
et
8
Level 4
Produce a tally chart for the data below: Pink Yellow Blue Green Pink
Red Blue Green Red Blue
Pink Red Blue Orange Blue
Green Red Red Blue Green
Yellow Red Blue Green Yellow
Pink Blue Green Pink Purple
Colour Tally
9
Use the following frequency table to complete the bar
chart.
Type of transport Frequency
Bike 10
Bus 10
Car 50
Lorry 15
Van 5
10
How Students Travel to School
0
10
20
30
40
50
Walking School
Bus
Service
Bus
Car Bicycle
Method of Transport
Fre
qu
en
cy
1. Which method of travelling
to school is the mode? ………………………………………
2. How many students travel
to school by car? ……………………………………..
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HOMEWORK 9 SECTION A
1 What is 10% of 30? 2 What is ¼ of 20?
3 What is ;
4 Work out 14 x 6
5 I buy two items. One costs £3.20, the other costs £1.57. How much is this altogether?
6 Write down the fraction and percentage that are equivalent to 0.47
7 What is the mode for this list of data?
2, 5, 5, 6, 7, 7, 7, 8, 11
8 I am an angle smaller than 90°. What am I called?
9 Name the shape: 10 Show your working out: 264 + 89 =
12
SECTION B
Level 2 to 4
Decide if the following statements, about a standard pack of
playing cards, are true or false.
1. There are 13 suits. True/False
2. There are 12 picture cards. True/False
3. There are 4 of each number card True/False
4. There are 54 cards in a pack. True/False
5. The suits are either black or red. True/False
6. Jokers are part of a standard deck of cards.
True/False
7. All the cards are different. True/False
8. Two of the suits are called ‘Clubs’ and ‘Diamonds’.
True/False
9. There are 8 Aces in a pack. True/False
10. Playing cards are often referred to in probability
questions. True/False
Now answer the questions from the appropriate section on
pages 11 and 12.
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Level 2 and 3
Complete the sentences by filling in the gaps.
You may wish to use these keywords:
Impossible, Certain, Likely, Unlikely, Very unlikely, Very
Likely
It is ………………………… that I will have chips for tea this week.
It is ………………………… that it will rain this week.
It is ………………………… that pig’s will fly.
It is ………………………… that the bell will ring at the end of lessons.
It is ………………………… that I will have children in the future.
It is ………………………… that I will hand this homework in on time.
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Level 4
Write a sentence using each of the following keywords:
Impossible
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Certain
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Even chance
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Very likely
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Unlikely
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
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HOMEWORK 10
SECTION A
1 What is 10% of 80? 2 What is ¼ of 60?
3 What is ;
4 Work out 23 x 8
5 I buy two items. One costs £7.45, the other costs 95p. How much is this altogether?
6 Write down the fraction and percentage that are equivalent to 0.8
7 What is the range for this list of data?
2, 5, 5, 6, 7, 7, 7, 8, 11
8 I am an angle larger than 90°, but smaller than 180°. What am I called?
9 Name the shape: 10 Show your working out: 264 - 89 =
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SECTION B
Level 2
Which shapes have a half shaded?
Circle your answers.
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Which shapes have a quarter shaded?
Circle your answers.
True or False:
7 is half of 14. True / False
10 is half of 12 True / False
8 is half of 4 True / False
5 is half of 12 True / False
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Level 3
Fill in the missing words in the following sentences. Use the
words in the rectangle.
One half is ……………………………………… to two quarters.
The …………………………………………… of 3
1 , is 3.
Three quarters, when written as a ………………………………………………
is 75%
3 is the ……………………………………………… of ⅜.
5 ¾ is known as a ……………………………………………… .
Draw a diagram to show 5
1
Draw a diagram to show one seventh.
Fraction Numerator
Mixed Number Denominator
Equivalent Percentage
Percent Hundredth
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True or False
One tenth of 40 is 8 True / False
One fifth of 30 is 6 True / False
10 is one fifth of 50 True / False
11 is one tenth of 100 True / False
9 is one fifth of 45 True / False
Level 4
Shade in the given fractions.
21
31
124
32
Which of these fractions are equivalent?
………………………………………………………………………………………………………………
20
Write down the fractions shown in each diagram:
………………………
………………………
………………………
………………………
………………………
………………………
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HOMEWORK 11
SECTION A
1 What is 10% of 25? 2 What is 1/5 of 35?
3 What is ;
4 Work out 53 x 4
5 I buy two items. One costs £2.95, the other costs £1.65. How much is this altogether?
6 Write down the fraction and percentage that are equivalent to 0.24
7 What is the median for this list of data?
2, 5, 5, 6, 7, 7, 7, 8, 11
8 I am an angle larger than 180°. What am I called?
9 Name the shape: 10 Show your working out: 563 + 77 =
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SECTION B
Level 2
Circle half of the dots in each rectangle.
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Circle one quarter of the dots in the following
rectangles.
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Level 3
a) ½ of 16 = ……… b) 31
of 21 = ………
c) 10
1 of 70 = ……… d) ½ of 18 = ………
e) ⅛ of 24 = ……… f) ¼ of 20 = ………
g) 5
1 of 35 = ……… h) 6
1 of 36 = ………
i) 4
1 of 36 = ……… j) 5
1 of 50 = ………
k) 10
1 of 70 = ……… l) 5
1 of 20 = ………
m) 2
1 of 20 = ……… o) 2
1 of 30 = ………
p) 2
1 of 12 = ……… q) 10
1 of 10 = ………
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Level 4
a) ½ of 20 = g) 4
1 of 20 =
b) ¼ of 12 = h) 5
1 of 30 =
c) ½ of 32 = i) 3
2 of 100 =
d) ½ of 60 = j) 10
1 of 50 =
e) ¾ of 40 = k) 10
3 of 40 =
f) 31
of 18 = l) 4
3 of 44 =
m) Half of an amount is 12. What is the amount?
……………………………………………………………………………………………………………….
n) One quarter of an amount is 13. What is the original
amount?
……………………………………………………………………………………………………………
HOMEWORK 12
SECTION B
Section B of homework 12 is the second Key Skills homework
and will be set in a separate mini booklet by your teacher.
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SECTION A
1 What is 20% of 40? 2 What is 1/7 of 21?
3 What is ;
4 Work out 28 x 3
5 I spend £3.85. How much change do I get from a £5 note?
6 Write down the fraction and decimal that are equivalent to 70%
7 What is the median for this list of data?
2, 5, 5, 6, 7, 7, 7, 8, 11
8 I am a four sided shape. What is the name for any four sided shape?
9 Name the shape: 10 Show your working out: 563 - 77 =
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HOMEWORK 13 SECTION A
1 What is 60% of 80? 2 What is 1/8 of 32?
3 What is ;
4 Work out 67 x 5
5 I spend £4.28. How much change do I get from a £5 note?
6 Write down the fraction and decimal that are equivalent to 55%
7 What is the mean for this list of data? (you may use a calculator)
2, 5, 5, 6, 7, 7, 7, 8, 11
8 I am a five sided shape. What is the name for any four sided shape?
9 Name the shape: 10 Show your working out: 472 + 58 =
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SECTION B
Level 2
Draw an angle larger than A.
Draw an angle smaller than B.
Draw an angle larger than B but smaller than A.
Draw a right angle
A
B
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Level 3
Draw an acute angle.
Draw an obtuse angle.
Draw an angle that is bigger than 90°
Draw an angle smaller than 45°
30
Draw an angle bigger than 180°
31
If the big hand points to 10 and it turns clockwise 90°, what
number will it point to?
If the big hand points to 12 and the little hand points to 2
what is the angle between the hands?
32
Level 4
The diagrams below are all RIGHT ANGLES. Calculate the
missing angles, a, b, c d, e and f.
a
50
°
b
35
°
c
27
°
43
°
d
d 40
°
a = ………………… b = …………………
c = ………………… d = …………………
e e
e = …………………
f
2f
f = …………………
33
Find the missing angles on the straight lines below.
130° g
………………………………
………………………………
g = ………………………
30° h
………………………………
………………………………
h = ………………………
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HOMEWORK 14
SECTION A
1 What is 75% of 80? 2 What is 1/3 of 39?
3 What is ;
4 Work out 46 x 9
5 I spend £7.43. How much change do I get from a £10 note?
6 Write down the fraction and decimal that are equivalent to 48%
7 What is the mean for this list of data? (you may use a calculator)
0, 5, 5, 6, 7, 7, 8, 11,12
8 I am a eight sided shape. What is the name for any four sided shape?
9 Name the shape: 10 Show your working out: 472 - 58 =
35
SECTION B
Level 2 and 3
Write your answers in the space below the questions.
1) Write down three even numbers between 17 and 25.
………………………………………………………………………………………………………………….
2) Add 3 and 4 and 5.
………………………………………………………………………………………………………………….
3) What are the next 3 numbers in the pattern?
4, 6, 8, …………, …………, …………
4) Eight pounds is shared equally between 2 people. How
much does each get?
………………………………………………………………………………………………………………….
5) Pencils cost 10p each how many can you buy for 80p?
………………………………………………………………………………………………………………….
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6) Round 47 to the nearest 10.
………………………………………………………………………………………………………………….
7) Write down the next 3 numbers in the following pattern.
187, 178, 169, 160, ………, ………, ………
8) I’m thinking of a number. I add 9 and my answer is 16.
What number an I thinking of?
………………………………………………………………………………………………………………….
9) There are 9 passengers on a bus. At the next stop 7
more passengers get on the bus and 4 get off the bus.
How many passengers are there on the bus?
………………………………………………………………………………………………………………….
10) What is one third of 21?
………………………………………………………………………………………………………………….
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Level 4
1.) Draw a rectangle with a perimeter of 24cm2
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
2.) A square has side length 10cm. What is it’s area?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
3.) Calculate 27 multiplied by 43.
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
4.) Continue the sequence by writing the next 3 terms.
3, 7, 11, 14, 17……
………………………………………………………………………………………………………………
What is the nth term?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
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5.) Write the following numbers in order.
7, -3, 0.74, 0.08, -10
………………………………………………………………………………………………………………
6.) Write 34786 to;
The nearest 10
………………………………………………………………………………………………………………
The nearest 100
………………………………………………………………………………………………………………
The nearest 1000
………………………………………………………………………………………………………………
7.) 27.5 – 34.6=
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
8.) Simplify 4s + 4p + 3p – 2s
………………………………………………………………………………………………………………
9.) If A = bh
Find A when b = 3 and h= 5
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
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10.) Find the mean, median and mode of the following data,
6, 3, 5, 8, 3, 9, 1
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………