Download Numeracy-Booklet-2016 - Saint Wilfrids Blackburn

TRANSITION
BOOKLET
NUMERACY
Welcome to St Wilfrid’s!
Why is it
important?
Mathematics is a very important subject to study because
it is useful for many other subjects as well as being fun. We
want you to continue to practice your mathematics over the
summer so that you remember the skills you have already
learnt. This will help you to be ready at the start of Y7 to make
good progress developing your fluency in mathematics,
working with increasingly complex topics and problems.
Every week during the summer holidays, you will be expected
to complete a section of your Mathematics booklet.
The purpose of this booklet is to:
What do
I have
to do?
• Show what you can already do
• Help you to feel confident about your mathematical skills
and ready to learn in Y7.
• Help you to develop your interest and enjoyment in
answering sums and solving puzzles.
You should ask someone at home to help you with this
booklet and to check your work!
2
Coordinates in all 4 quadrants
Task
Use the coordinates to find the hidden message.
(-3, 5) (2, -5) (0, 4)
W
H
(-3, 5) (1, -3) (-5, 1)
Y
(4, 0) (2, -5) (3, 3)
(1, 5) (1, -3) (4, 0) (2, -5) (-5, 1)
(-4, 3) (4, 3) (4, 3) (-3, 0)
(-5, 1) (1, -3) (-2, -2) ?
(-4, 3) (3, 3) (-4, -4) (1, -3) (-3, -5) (-5, 1) ((3, 3)
(-2, 4) (4, 0)
(2, -5) (1, -3) (-2, -2)
(4, 0) (4, 3) (4, 3)
(1, 5) (1, -3) (4, -4) (0, 4)
(-5, 4) (4, 5) (4, 3) (-4, 3) (2, -1) (3, 3) (1, 5) (-5, 1)!!
3
Money Problems
1
A packet of biscuits costs 56p. A bottle of
cola costs £1.14. Emma buys 4 packets of
biscuits and one bottle of cola. She pays
with a £10 note.
How much change should she get?
2
Two ice creams and one cola costs £3.80.
One ice cream and one cola costs £2.40.
How much does:
a) one ice cream cost?
b) one cola cost?
3
Lorenzo makes pizzas. One day he makes
24 pizzas. He charges £3.70 for each pizza.
Work out the total he charges for
all 24 pizzas.
4
Guissepe charges £3 for delivering pizzas.
The total cost of some pizzas including
delivery is £114.
How many pizzas did Guiseppe deliver?
4
Party Pooper
To come to the
party you must first
crack the code.
Where and when is the party?
P
A
W
T
C
O
D
A
E
N
Y
R
O
H
U
M
N
Y
V
E
M
T
L
E
O
E
O
A
T
S
O
Y
L
T
Y
T
M
E
C
A
T
I
O
R
R
O
M
Y
P
L
E
F
F
A
O
F
T
F
E
L
M
Y
O
I
L
I
H
A
V
E
O
O
T
E
D
O
C
E
H
T
C
U
C
A
N
C
R
A
C
K
Y
L
N
O
N
A
C
U
O
Y
5
Shading Fractions
What fraction?
Write what fraction
is shaded. The first one
is done for you.
a)
b)
1
__
4
Colour the fraction
True or False?
Shade in the fraction of each
shape given. The first one
is done for you.
Circle the correct answer.
a)
3
__
4
b)
5
__
8
a) Half of the shape is shaded:
TRUE
FALSE
b) 1/4 of the shape is shaded
c)
c)
5
__
6
TRUE
d)
d)
1
__
2
c) It is impossible to shade 3/6
of the shape below:
TRUE
e)
f)
g)
6
e)
4
__
6
FALSE
FALSE
Venn Diagrams (1)
Task
Add the objects from the list below into the correct place on the Venn Diagram.
(Some examples have been added in for you)
Koala Bear
Helicopter
Kite
Bat
Cat
Guinea Pig
Eagle
Bee
Aeroplane
Hot Air Balloon
Flying Squirrel
Caterpillar
Rocket
Zebra
Fly
Animals
Lion
Things that fly
Wasp
Boomerang
7
Symmetry
How many different symmetrical butterflies can year 7 create?
Task
Draw the other half then colour a symmetrical pattern.
Line of symmetry
8
Introducing Algebra
Task 1
Find the value of the letter in the following sentences.
Here is an example of what to do:
e.g.
There are k days in October.
k = 31
1)
u players in a football team.
u=
2)
The h Days of Christmas (song).
h=
3)
p centimetres in a metre.
p=
4)
g aces in a pack of cards.
g=
5)
k legs on a dog.
k=
6)
Donald Duck has d nephews.
d=
7)
A right angle is w degrees.
w=
8)
e millimetres in a centimetre.
e=
9)
Henry the 8th had m wives.
10)
A spider has r legs.
Task 2
m=
r=
Every letter below represents a number.
In each case, write down what each letter is worth.
e.g.
m+4=9
m=5
1)
a + 3 = 12
a=
2)
25 – w = 11
w=
3)
r x 3 = 15
r=
4)
32 ÷ f = 4
f=
5)
g÷3=7
g=
6)
12 = d – 5
d=
7)
2 x j = 26
j=
8)
y + 56 = 142
y=
9)
17 = 5 + c
c=
10)
g÷5=9
g=
9
Short Division
Can you crack the code?
A
B
C
D
E
F
G
H
I
J
K
L
M
45
39
124
84
12
46
78
157
97
61
80
184
13
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
47
56
44
91
37
27
43
21
88
23
99
63
66
12 4
Example: 496 ÷ 4 = 4 4 9 16
e.g.
496 ÷ 4
108 ÷ 4
225 ÷ 5
291 ÷ 3
235 ÷ 5
301 ÷ 7
184 ÷ 8
485 ÷ 5
368 ÷ 2
138 ÷ 3
222 ÷ 6
582 ÷ 6
756 ÷ 9
189 ÷ 7
10
124
C
Venn Diagrams (2)
Task
Place all the integers (whole numbers) in the set of numbers 1 to 30 (inclusive)
in the correct place in this Venn diagram.
Multiples of 2
Questions
Multiples of 3
Answer these in full sentences:
1) What factors do the numbers in the intersection of the circles have in common?
2) Which numbers are multiples of 2 and multiples of 3?
3) Which numbers are multiples of 2 or multiples of 3?
4) How could you describe the numbers that are not inside the circles?
11
Venn Diagrams (3)
Task 1
Create your own Venn diagram - what could you label the third circle?
Using the same set of numbers (1-30) complete this diagram with your new label.
Multiples of 2
Multiples of 3
Multiples of
Task 2
Think of a question you could ask about your new diagram.
My question is...
12
Pet Rabbits
Three pet rabbits cost £19.70.
The second rabbit cost £2 more than the first.
The third rabbit cost 80p less than the second.
What was the cost of each rabbit?
Working out...
1st Rabbit cost:
2nd Rabbit cost:
3rd Rabbit cost:
Fill in the Gaps
3
2 3
+ 4
- 6 1
6 8
2 5
1 6 0
8
- 5 9 6
1 9 2
1 8 7
+ 8
7
-
6 3
5 6 5
+
13
Long Multiplication
Section A
(2 digit by 2 digit)
1
5
4
x
1
2
2
3
4
x
4
8
2
8
6
x
1
7
3
1
2
x
1
9
3
9
8
x
7
4
6
3
x
6
7
EXAMPLE: 37 x 24
37
x 24
148
2
740
1
888
Task
Now try the
three questions
in the grid!
Section B
(3 digit by 2 digit)
EXAMPLE: 476 x 29
476
x 29
4284
2
5
9520
1 1
13804
Task
Now try the
three questions
in the grid!
14
1
2
5
7
Ordering Decimals
EXAMPLE - Put these decimal numbers in order of size. Start with the smallest.
3.4
3.5
3.26
5.4
Write the numbers in columns
(Three of them have the same number of units!)
U
T
3
4
3
5
3
2
5
4
H
6
Look at the digits in the Units (U) column first, then look
at the tenths (T). Then look at the hundredths (H) if you need to.
The Correct Order Is:
Smallest
3.26
3.4
3.5
5.4
Biggest
Now try these:
1.
3.45, 3.52, 3.4, 3.58, 3.49
Smallest
2.
Biggest
1.4, 1.06, 1.7, 1.57, 2.56
Smallest
3.
Biggest
5.7, 5.88, 5.63, 5.08, 5.725
Smallest
Challenge:
Smallest
Biggest
3.5, 0.035, 0.35, 0.0305, 0.305,
Biggest
15
The Values of Shapes
TOTAL
= 54
Working out:
To find the value of 1 heart:
54 ÷ 3 = 18
1 heart and 2 suns add up to 32.
32 – 18 = 14 so 14 is the value of 2
suns.
1 sun would be 14 ÷ 2 = 7
= 18
TOTAL
=7
= 32
Working out:
TOTAL
= 39
=
TOTAL
=
= 59
Working out:
TOTAL
= 2120
16
TOTAL
TOTAL
= 72
= 240
=
=
=
Adding & Subtracting Fractions
Fractions must have the same denominators before you can add or subtract them.
EXAMPLES
1
__
+
7
2
__
=
7
3
__
7
3
__
–
5
1
__
=
5
A denominator is
2
__
5
Now try these:
1
1
__
+
6
4
__
=
6
__
2
3
__
–
4
2
__
=
4
__
4
__
2
__
=
5
3
__
5
5
5
__
–
11
__
2
__
11
+
=
2
__
+
3
3
1
__
=
3
__
Which question gives an answer equal to 1?
Challenge
a
1
__
+
2
Which of the following has the largest value?
1
__
8
b
3
__
–
4
3
__
16
c
3
__
+
16
1
__
4
Working out:
Answer:
17
Compass Points in the Classroom
Here is an incomplete classroom plan:
JOHN
JEAN
KARL
RICHARD
Task
Complete the seating plan above using the clues below:
1). Dale is 1 seat North of Richard.
2). Gemma is 1 seat South West of Jean.
3). James is 2 seats East of John.
4). Alex is 2 seats South East of John.
5). Anne is 1 seat South East of Karl.
6). Jim is 3 seats South West of James.
7). Keith is West of Jean and North West of Richard.
8). Ron is South West of John and North West of Karl.
9). Val is 3 seats West of Alex.
10). Martin is North East of Val and North of Anne.
11). Wayne is 1 seat South West of Dale.
12). Rosie looks North East and can see Gemma, Jean and Sally.
13). Beth looks East and sees Keith, Jean and Lynne.
14). Sue is 3 seats North West of Wayne.
Task
Now your seating plan is complete, use it to answer these questions:
If James looks west, which girl can he see?
Lynne looks at Anne. Which direction is Lynne facing?
Dale looks North West. Who can he see?
Sue looks at Gemma. Which direction is Sue facing?
Write down the direction and number of seats Karl must go to get to James.
18
Using Times Tables
Task
Below is part of the 45 times table.
Use the table to help you fill in the missing numbers.
a) 315 ÷ 7 =
1 x 45 = 45
2 x 45 = 90
b) 135 ÷ 45 =
c) 270 ÷
d)
3 x 45 = 135
= 45
4 x 45 = 180
5 x 45 = 225
x 45 = 405
6 x 45 = 270
7 x 45 = 315
e) 495 ÷ 45 =
f)
8 x 45 = 360
x 45 = 900
9 x 45 = 405
10 x 45 = 450
g) 450 ÷ 30 =
Task
Answer the question below and explain your answer.
Joe says:
“Divide any number by 3.
The answer is always an even number.“
Is he correct?
Circle the right answer:
YES
NO
Explain how you know:
19
Problem Solving
1
Find the value of each symbol in the grid:
£ £ £
$ $ £
€ £ $
2
30
34
30
In rugby 5 points are scored for a ‘try’.
Points can also be scored by a ‘conversion’
and a ‘penalty’.
In their last game Preston Grasshoppers
scored 32 points.
They scored 4 tries and 4 penalties, but no
conversions.
How many points does a penalty score?
3
The game before saw them score 43 points.
This was made up with 6 tries, 5 conversion
and penalty.
How many points does a conversion score?
4
If a team score 2 tries, 2 conversions and 5
penalties...
How many points does it score?
20
Famous Five Challenge
The famous five have been given 20 sweets as a reward for solving a tricky crime.
They have agreed that the oldest of them must receive more than the next oldest, who
must receive more than the next oldest, and so on.
Task
Assuming that each of the five gets at least one sweet,
in how many different ways can they share the sweets?
Solution:
21