Howden School and
Technology College
Year 7 Mathematics
Homework Booklet
Half Term 1
Please complete your maths homework regularly – each
week is broken into three sections. Section A, which
checks your recall of key ideas and skills Section B is a
task based on recent work and a ‘challenge’ task (a
problem for you to try and solve). 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
Maths Teacher
Hand this booklet in
Tutor
group
Dear Parent
As outlined on the front cover, mathematics homework in year
7 is organised in a three section format. The Section B tasks
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. The challenge tasks are short problem solving activities
that any pupil can attempt. These questions are taken from
‘UKMT Mathematics Challenge’ papers – some pupils will take
part in the annual national UKMT Challenge during year 7.
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.
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. These areas will be
assessed in more detail in lessons and formal assessments.
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
2
HOMEWORK 1
SECTION A
1 A rectangle has a length of 4cm 2
and a width of 7 cm. What is
its perimeter?
Change 4.8 metres into
centimetres.
3 What is 247 + 583?
What is 465 – 128?
4
5 How many faces does a cuboid 6
have?
Write down the first 5 multiples
of 7.
7 What is the outcome if I add an 8
odd number to an odd number?
Complete the sentence:
When I square a number I ….
9 What is 38 x 46?
10 Multiply the following numbers
by 10.
17
2.6
1.45
3
SECTION B
Level 4
The shapes below are drawn on 1cm grids.
Find the area of each shape.
1.)
………………………………………… cm2
2.)
………………………………………… cm2
3.)
………………………………………… cm2
4.)
………………………………………… cm2
4
Find the area of the shape.
It is drawn on a 1cm grid.
Remember to write down your units!
Area =
5
On the grid below draw shapes with the following areas
a)
10 units2
b)
8 units2
c)
6 units2
6
Level 5
Find the area of the shapes below:
Remember to use the correct units!
You MUST show your WORKING OUT.
1)
……………………………………………………………………………………………………………….....
2)
……………………………………………………………………………………………………………….....
3)
……………………………………………………………………………………………………………….....
7
A letter H is made for a sign. It is put together from the
following pieces of wood.
Two pieces of shape A, and one piece of shape B.
Find the area of shape A.
Find the area of shape B.
What is the area of the finished letter H?
Remember that you MUST show your WORKING OUT!
20cm
A
A
A
130cm
B
15cm
B
20cm
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………..
8
Complete the table below:
Area of Rectangle
15 cm2
Length
5cm
24 cm2
2cm
42 cm2
6cm
100 cm2
20 cm
56 cm2
Width
4 cm
9
Level 6
Work out the area of each of the shapes below:
1)
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
10
2)
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
11
3)
The letter H below is from a helipad; it is drawn to scale. Each
centimetre represents one metre.
What is the area of the H on the helipad?
(You will need to measure the sides and use a calculator.)
………………………………………………………………
..................................................................
………………………………………………………………
………………………………………………………………
………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
Challenge
Which of these calculations produces a multiple of 5?
1 2  3  4
C 1 2  3  4
E 1 2  3  4
A
1 2 3  4
D 1 2  3 4
B
From UKMT 2008
12
HOMEWORK 2
SECTION A
1 A rectangle has a length of 9cm 2
and a width of 13cm. What is its
perimeter?
Change 0.65 metres into
centimetres.
3 What is 451 + 378?
4
What is 572 – 188?
5 How many edges does a cuboid
have?
6
Write down the first 5 multiples
of 12.
7 What is the outcome if I add an
8
odd number to an even number?
What does this calculation
mean?
112
9 What is 27 x 54?
10 Multiply the following numbers
by 100.
73
4.5
3.84
13
SECTION B
Level 4
Work out the perimeter of the shapes below.
They are drawn on a 1cm grid.
Remember to include units!
1)
……………………………………………………………………………………………………………….....
2)
……………………………………………………………………………………………………………….....
3)
……………………………………………………………………………………………………………….....
14
Look at the letter ‘P’ below. It is drawn on a 1cm grid.
Find its perimeter. You need to include the centre of the
letter.
Perimeter =
...............................................
……………………………………………
……………………………………………
15
On the grid below draw three different shapes which have a
perimeter of 24 units.
16
Level 5
Find the perimeter of the shapes below:
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
17
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
18
Work out the area and perimeter of the front cover of your
homework booklet (when it is closed!) Remember to write down
your working out.
Use your ruler to measure:
The length of your booklet to the nearest centimetre is………
The width of your booklet to the nearest centimetre is……….
Perimeter =
Area =
19
Level 6
1)
Calculate the volume and surface area of the
cuboid.
Volume=
………………………………………
………………………………………
7cm
9cm
5cm
………………………………………
………………………………………
Surface Area =
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
20
2)
Choose a box. This could be a cereal box
Sketch your box in the space below.
Label the lengths of the edges.
Calculate the volume.
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Calculate the surface area =
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
21
Challenge
Which of these diagrams could be draw without taking the pen
off the page and without drawing along a line already drawn?
A
B
D
E
C
From UKMT 2008
22
HOMEWORK 3
SECTION A
1 A rectangle has a length of
5.4cm and a width of 3cm.
What is its perimeter?
2
Change 230 centimetres into
metres.
3 What is 371 + 276?
4
What is 482 – 358?
5 How many vertices does a
cuboid have?
6
Write down the first 5 multiples
of 8.
7 What is the outcome if I add an
even number to an even
number?
8
What is 5 squared?
9 What is 32 x 41?
10 Multiply the following numbers
by 1000.
83
5.6
56.24
23
SECTION B
Level 4
Use the rule to continue the pattern
1)
Goes up in 5’s
20,
2)
……, ……, ……, ……, ……
Goes down in 3’s
35,
……, ……, ……, ……, ……
3) Doubles
5,
……, ……, ……, ……, ……
4) Halves
800,
……, ……, ……, ……, ……
24
Write the next 3 terms in the following sequences AND write a
rule to describe the pattern.
5)
4, 7, 10, 13, ………, ………, ………
…………………………………………………………………………………………………………………
6)
20, 18, 16, 14, ………, ………, ………
…………………………………………………………………………………………………………………
7)
1, 6, 11, 16, 21, ………, ………, ………
…………………………………………………………………………………………………………………
25
Level 5
Write the first 6 terms of the sequence from the description
1)
Starts at 9 and goes up in 7’s.
…………………………………………………………………………………………………………………
2)
Starts at 75 and decreases by 12 each time.
…………………………………………………………………………………………………………………
3)
Starts at 1 and trebles each time.
…………………………………………………………………………………………………………………
4)
Starts at 16 and halves each time.
…………………………………………………………………………………………………………………
Continue the sequence and describe the pattern.
6)
7, 12, 17, 22, ……, ……, ……
…………………………………………………………………………………………………………………
7)
10, 20, 40, 80,……, ……, ……
…………………………………………………………………………………………………………………
8)
46, 42, 38, 34, ……, ……, ……
…………………………………………………………………………………………………………………
26
Level 6
Write the first 6 terms of the following sequences from the
descriptions.
1)
Starts at -3 and doubles each time.
…………………………………………………………………………………………………………………
2)
Starts at -4 and halves each time.
…………………………………………………………………………………………………………………
3)
Starts at -3 and decreases by 11.
…………………………………………………………………………………………………………………
4)
Start at 7 add 1 then divide by 2.
…………………………………………………………………………………………………………………
Fill in the spaces and describe the pattern.
5)
……, 15, 18, ……, 24, ……, …….
…………………………………………………………………………………………………………………
6)
72, 63, ……, 45, ……, ……,
…………………………………………………………………………………………………………………
7)
1, 1, 2, 3, 5, ……, 13,…… , …… , 55
…………………………………………………………………………………………………………………
27
Challenge
At Spuds-R-Us, a 2.5kg bag of potatoes costs £1.25. How
much would 1 tonne of potatoes cost?
A £5
B £20
C £50
D £200 E £500
From UKMT 2008
28
HOMEWORK 4
SECTION A
1 A rectangle has a length of
5.4cm and a width of 6.4cm.
What is its perimeter?
2
Change 85 centimetres into
metres.
3 What is 583 + 387?
4
What is 825 – 197?
5 Sketch the net of a cube.
6
Write down the first 5 multiples
of 9.
7 What is the outcome if I add an
even number to an odd
number?
8
What is 12 squared?
9 What is 53 x 28?
10 Multiply the following numbers
by 100.
63
4.7
12.36
29
SECTION B
Level 4
Draw the next 3 steps in the patterns below.
Describe the patterns.
1
…………………………………………………………………………………………………….
……………………………………………………………………………………………………
2
……………………………………………………………………………………………………
……………………………………………………………………………………………………
30
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
31
……………………………………………………………………………………………………
……………………………………………………………………………………………………
32
Level 5
Input
X2
-4
Output
Find the output for each input, for the number machine below.
a)
5
………………….
b)
15
……………………
c)
100 ………………….
d)
6.5
……………………
e)
n
Input
………………….
+2
÷3
Output
Find the inputs for the given outputs for the number machine
above.
a)
4
……………………
b)
15
………………………
c)
21
……………………
d)
3(n + 2)
…………………….
33
Input
Output
+5
X3
Find the inputs for the given outputs for the number machine
above.
a)
30
……………………
b)
45
c)
21
……………………
d)
3n + 15
Input
÷2
………………………
+3
…………………….
Output
Find the output for each input, for the number machine below.
a)
12
………………….
b)
9
……………………
c)
22
………………….
d)
n
……………………
e)
p
………………….
34
Level 6
Find the nth term for the following sequences.
a)
3,
5,
7,
9, …
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
b)
8,
11,
14,
17, …
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
c)
50,
45,
40,
35, …
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
d)
-5,
-11, -17, -23, …
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
e)
1,
4,
9,
16, …
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
35
Write the first 5 terms for the nth terms below.
f)
2n + 7
……………………………………………………………………………………
……………………………………………………………………………………
g)
5n – 3
……………………………………………………………………………………
…………………………………………………………………………
h)
3n - 8
……………………………………………………………………………………
…………………………………………………………………………
i)
10 – 3n
……………………………………………………………………………………
…………………………………………………………………………
j)
n2 + 6
……………………………………………………………………………………
…………………………………………………………………………
36
Challenge
The diagram shows a single floor tile in which the outer square
has side 8cm and the inner square has side 6cm. If Adam Ant
walks once around the perimeter of the inner square and
Annabel Ant walks once around the perimeter of the outer
square, how much further does Annabel walk than
Adam?
A 2 cm
E 16 cm
B 4 cm
C 6 cm
D 8 cm
From UKMT 2008
HOMEWORK 5
Section B of homework 5 will be issued as a separate
booklet by your teacher.
37
SECTION A
1 A rectangle has a length of 5cm
and a width of 6cm. What is its
area?
2
Change 60 centimetres into
feet.
3 What is 658 + 87?
4
What is 8.25 – 1.38?
5 Sketch a cuboid.
6
List all the factors of 12.
7 What is the outcome if I subtract 8
an even number from an odd
number?
9 What is 123 x 74?
Draw the symbol that means
‘square root’.
10 Divide the following numbers by
100.
700
450
1589
38
HOMEWORK 6
SECTION A
1 A rectangle has a length of 8cm
and a width of 4.5cm. What is
its area?
2
Change 30 miles into
kilometres.
3 What is 3.28 + 14.2?
4
What is 19.57 – 11.3?
5 A cuboid has a base of 6cm,
length 7 cm and height 5cm.
What is its volume?
6
List all the factors of 30.
7 What is the outcome if I subtract 8
an odd number from an odd
number?
9 What is 235 x 53?
What is the square root of 64?
10 Divide the following numbers by
1000.
700
4522
54
39
SECTION B
Level 4
Complete the two tables:
Multiplication
12
6
20
3
210
230
500
40
7400
X10
X100
Division
80
÷10
÷ 100
40
Level 5
Complete the table:
X10
X100
X1000
÷10
÷100
÷1000
4200
25000
34
756
980
41
Level 6
Complete the table:
X10
X100
X1000
÷10
÷100
÷1000
5.5
13.45
248.9
603.07
0.125
42
Challenge
All of the Forty Thieves were light-fingered, but only two of
them were caught red-handed. What Percentage was that?
A2
B5
C 10
D 20
E 50
From UKMT 2008
43
HOMEWORK 7
SECTION A
1 A rectangle has a length of 8cm
and an area of 32cm2. What is
its width?
2
Change 250ml into litres.
3 What is 16.24 +7.63?
4
What is 21.4 – 7.35?
5 A cuboid has a base of 3cm,
length 8cm and height 6cm.
What is its volume?
6
List all the factors of 32.
7 What is the outcome if I subtract 8
an odd number from an even
number?
9 What is 234 x 47?
What is the square root of 16?
10 Divide the following numbers
by 100.
6
45
546
44
SECTION B
Level 4
Round the following numbers to the nearest 10:
56
……………
23
……………
87
……………
45
……………
172
……………
286
……………
496
……………
1099
……………
Round the following numbers to the nearest 100:
156
……………
323
……………
587
……………
245
……………
172
……………
1286
……………
5496
……………
1099
……………
45
Worded problems
1.
There are 27 birds’ nests in a hedge. How many is this to
the nearest 10?
…………………………………………………………………………………………………………………
2.
Sally says that there are 500 folders in a filing cabinet
to the nearest 100. Write down the most folders that
could be in the filing cabinet.
…………………………………………………………………………………………………………………
Level 5
Round the following to the nearest whole number and to 1
decimal place.
Whole number
1 dp
37. 42
……………
……………
12.05
……………
……………
84.396
……………
……………
21.258
……………
……………
248.019
……………
……………
34.895
……………
……………
46
Worded Problems
1.
A football pitch is 94.5 metres long and 54.3 metres
wide. What are these dimensions to the nearest metre?
…………………………………………………………………………………………………………………
2.
A garden is 140 feet long to the nearest foot. What is
the shortest length it could be?
…………………………………………………………………………………………………………………
Level 6
Round the following to 2 and 3 decimal places
2 dp
3 dp
37. 4275
……………
……………
12.05062
……………
……………
84.3969
……………
……………
21.25843
……………
……………
248.0118
……………
……………
34.89959
……………
……………
47
Worded problems
1.
Holly buys three items costing £1.35, £5.47 and £6. 99.
She calculates the price then rounds to the nearest
pound. How much change, to the nearest pound, will she
get from a £20 note?
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
2.
If Holly rounds the original prices to the nearest pound
and calculates the change. Why are the answers
different?
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………
Challenge
King Harry’s arm is twice as long as his forearm, which is twice
as long as his hand, which is twice as long as his middle finger,
which is twice as long as his thumb. His new bed is as long as
four arms. How many thumb lengths is that?
A 16
E 256
B 32
C 64
D 128
From UKMT 2008
48