WELCOME TO
This morning is about ...
HELPING:
To understand what the SATs are about.
Each other.
BECOMING:
Confident.
Sure of some of those things we didn’t
understand before.
SID THE SPIDER
2 Add 29 to me
1 Double me
48
53
9
24
3
8 One eighth of me is?
76
7 How much less than 100
am I?
3 Subtract 15 from me
12
4 Halve me
6
120
6 Multiply me by 5
5 Divide me by 4
The Pentagon ...
The five numbers around the pentagon add up to
1000.
Write two numbers that could complete the total.
75
400
125
The Pentagon ...
The five numbers around the pentagon add up to
1000.
Write two numbers that complete the total.
Find the total
of the given
numbers.
300
75
400
Subtract 600
from 1000.
400
600
100
125
Put in any 2 numbers that add up to 400.
Back at school FINDING NUMBERS
Put numbers in the spaces so that the each line adds up to 500.
95
110
105
245
235
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ANSWERS
160
190
Back at school FINDING NUMBERS
Fill in the two spaces to complete this number sequence.
85
76
-9
68
-8
61
-7
55
-6
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50
-5
Back at school FINDING NUMBERS
Draw a line to join two numbers that total 1000. One has been
done for you.
260
325
285
450
550
840
575
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715
Matching numbers
Work out the number problems and match your answer
to the list of numbers on the right hand side.
15 + 38
25 - 9
18 x 3
9
55
53
16
81 ÷ 9
54
Matching numbers
Work out the number problems and match your answer
to the list of numbers on the right hand side.
15 + 38 53
55
25 - 9
18 x 3
9
53
54
16
81 ÷ 9
9
54
MATCHING
Back at school
Match each calculation on the left with the answer on the right.
490
59
x
249 241
5
295
295
263
247
89
+
162
251
241
741
÷
3
247
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251
Back at school
MATCHING
Match each calculation on the left with the calculation on the right.
45
+
36
72
÷
8
23
-
Double 18
13
81
5
+ 4
9
55
-
19
36
9
x
9
81
11
10
10
36
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110 ÷
9
On a number line ...
Work out the problems on the right and place your
answer on the number line on the left hand side.
80
150 - 62
35
x
3
100
270 ÷ 3
66 + 46
120
On a number line ...
Work out the problems on the right and place your
answer on the number line on the left hand side.
80
150 - 62
88
35
105
90
x
3
100
270 ÷ 3
90
110
66 + 46
120
112
Back at school
NUMBER LINE
Calculate these problems and show your answer on the number
line. One has been done for you.
100
80 + 30
250 - 119
75 + 39
36 x
4
150
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Back at school
NUMBER LINE
Calculate these problems and show your answer on the number
line. One has been done for you.
100
110
110
250 - 119 131
120
75 + 39
114
130
36 x
144
140
80 + 30
4
150
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Fill in the missing numbers ...
X
89
6
=
+
÷
-
42
=
150
8 =
12
115
= 76
+ 45 +
(
25 +
X
39
3) + 12
=
=
180
=
27
-
10
Fill in the missing numbers ...
7
X
89
6
+
96
=
=
150
8 =
12
61
÷
191
-
100
70
+ 45 +
(
5
25 +
115
X
39
42
= 76
65
35
=
180
3) + 12
=
27
=
74
-
10
Back at school
Calculate these problems and show your answers in the number boxes.
609
-
149
=
460
212
+
109
=
321
9
x
14
=
126
273
÷
7
=
39
(56 ÷ 7) x 120 =
960
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Solving those little problems ...
Fish
£1.95
Chips small 55p
large 70p
Peas
Ben buys fish and large
chips.
How much does he spend
altogether?
35p
Amy buys small chips and
peas three times.
How much change does she
have from £3?
Solving those little problems ...
Fish
Fish
£1.95
£1.95
Chips
Chips small
small 55p
55p
large
large 70p
70p
Peas
Peas
Ben buys fish and large
chips.
How much does he spend
altogether?
35p
35p
Add together the cost of fish and large chips.
£1.95 + 70p = £2.65
£2.65
Solving those little problems ...
Fish
£1.95
Chips small 55p
large 70p
Peas
Amy buys small chips and
peas three times.
How much change does she
have from £3?
35p
One portion of peas and small chips costs 55p + 35p.
90p.
Three portions will cost 3 x 90p = £2.70.
Change will be £3 - £2.70 = 30p
30p
Try this one ...
Greetings cards.
AA
75p
BB
90P
CC
£1.20
DD
£1.35
EE
£2.35
Emily buys 2
greetings cards.
One is code BB the
other code EE.
How much does she
pay altogether?
Jack buys a card.
He has £3.65 change
from £5.
Which code did he buy?
Try this one ...
Greetings cards.
AA
75p
BB
90P
CC
£1.20
DD
£1.35
EE
£2.35
Emily buys 2
greetings cards.
One is code BB the
other code EE.
How much does she
pay altogether?
Code BB costs 90p.
Code EE costs £2.35.
Add them together.
90p + £2.35 = £3.25
£2.35
Try this one ...
Greetings cards.
Jack buys a card.
AA
75p
BB
90P
He has £3.65 change
from £5.
CC
£1.20
DD
£1.35
EE
£2.35
Which code did he buy?
To find what he spends subtract £3.65 from £5.
£5 - £3.65 = £1.35.
This is code DD
DD
On your own ...
40p Roses cost 40p each and daffodils
cost 99p a bunch.
99p
Ben buys three roses and two
bunches of daffodils.
How much change does he receive
from £5?
£1.82
Other things you might come
across ...
Sweets
Drink
Chocco 35p Lemon 80p
Mars
40p Cola
65p
Twix
48p Orange 75p
£2.95
£5.49
Snacks
Crisps 45p
Nuts 50p
Chips 60p
£3.80
Other things you might come
across ...
Parking Charges
Up to 1 hour
350 g
90p
1-3 hours
£1.50
3-5 hours
£2.80
All day
£4.00
Back at school SOLVING PROBLEMS
The table shows
collection times for
letters at a post box.
Collection times
Monday - Friday
Amy posts a letter on Wednesday
at 4-15 p.m.
When was it collected?
Wednesday 6-30 p.m.
8-00 a.m
2-00 p.m.
6-30 p.m.
Saturday
Ben posts a letter on Saturday at
12-30 p.m.
11-30 a.m.
When was it collected?
No collection
Monday 8-00 a.m.
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Sunday
Back at school SOLVING PROBLEMS
29p
What is the difference in price
between the most expensive item
and the least expensive item?
£1.85
Diary at £4.45
£4.45
Take away pencil at 0.29
£4.16
£2.49
Ans.
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£4.16
Back at school SOLVING PROBLEMS
29p
£1.85
Jack buys a box of paints and a
diary.
How much change does he have
from £10?
Paints cost £2.49
£4.45
A diary costs £4.45
They £6.94 altogether
Subtract £6.49 from £10
£2.49
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He has £3.06 change
Back at school SOLVING PROBLEMS
29p
Emily has £3.15 change from
£5.
What did she buy?
£1.85
Subtract Emily’s change from £5.
£4.45
This will tell us what she spent.
£5 - £3.15 = £1.85.
£2.49
Emily bought scissors.
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Back at school SOLVING PROBLEMS
A class has 178 crayons.
Ben packs them in boxes of 8.
How many boxes does he need
to put all the crayons into boxes?
Amy gives out scissors to the class.
They share a pair between two children.
There are 28 children in the class.
Amy has 5 scissors left over.
How many scissors did she start with?
Back at school SOLVING PROBLEMS
A class has 178 crayons.
Ben packs them in boxes of 8.
How many boxes does he need
to put all the crayons into boxes?
Divide 178 by 8.
178 ÷ 8 = 22 remainder 2.
The 2 crayons must go into a box, so Ben needs 23 boxes.
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Back at school SOLVING PROBLEMS
Amy gives out scissors to the class.
They share a pair between two children.
There are 28 children in the class.
Amy has 5 scissors left over.
How many scissors did she start with?
Divide 28 by 2 to find out how many pairs of children there are.
28 ÷ 2 = 14
Add the 5 pairs of scissors Emily had let over.
Emily had 14 + 5 = 19 pairs of scissors to start with.
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Back at school SOLVING PROBLEMS
Jack has 2 piles of bricks of similar size
How high is the taller pile of bricks?
One brick is
27cm ÷ 3 = 9cm high.
The taller pile is
11 x 3cm = 33cm
27 cm
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Back at school SOLVING PROBLEMS
Amy has red crayons, blue crayons and green crayons.
She has 24 crayons.
One third are green, 7 are red.
How many are blue?
Find one third by dividing 24 by 3.
This is 8 green crayons, leaving 16 red and blue ones.
Subtract 7 red from 16.
This leaves 9 blue crayons
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Back at school SOLVING PROBLEMS
Ticket type
A
B
C
D
Old fare
75P
£1.45
£1.85
New fare
£1.05
£1.80
£2.60
The table shows old and
new bus fares.
The rise in fares is 35p.
Two fares are missing from the table.
Which fares complete the table? C £2.20 D
£2.25
Ben makes journeys B and D at the new price.
What would they have cost at the old price?
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Back at school SOLVING PROBLEMS
Emily buys a box of four tennis balls costing £2.96.
How much is this for each ball?
To find the cost of one tennis ball divide
£2.96 by 4.
Answer 74p each
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Fractions ...
What fraction of these shapes is shaded red?
Count ALL the triangles in the shape.
your denominator (the bottom one).
Count the coloured shapes
4 is
1
This is your numerator (the bottom one).
The fraction shaded red is ¼.
Explain how you know that 3 of this
shape is red.
8
Fractions …
Shade ¼ of this shape.
2
3
4
2
3
1
Shade one shape
in every four
that there is.
1
4
Count four
shapes and
shade one of
them.
Have a go …
Shade in 1 of this shape.
5
Shade in 1 of this shape.
3
What fraction is coloured blue?
4
or 1
12
3
3
10
Back at school
FRACTIONS
Shade in the fractions below.
2
5
3
Shade in any four
squares
4
Shade in any six
squares
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Back at school
FRACTIONS
What fraction of each shape is shaded red?
7
6
10
12
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OR
1
2
FRACTIONS
Back at school
Draw a line to match the fractions shaded blue with the
correct answer below.
3
5
50%
0.7
4
2
7
3
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Back at school
FRACTIONS
Which fractions are shown on the number line?
1½
1
4¼
2¾
3
Put an arrow to show where 3¼ would be.
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Back at school FRACTION PROBLEM
Jack has a piece of wood 200 cm long.
He uses 3 of it.
10
What length of wood remains?
Find one tenth by dividing the total length by 10.
One tenth is 200cm ÷ 10 = 20cm.
He use three tenths which is 3 x 20cm = 60cm
He has 200cm - 60cm = 140cm left.
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A word about percentages ...
Find 15% of ...
Find 5% of ...
Find 10% of ...
It is easiest to find 10% of anything … just divide it by 10.
If we know this then most others are easy.
5% is half of 10%
15% is 10% + 5%
A word about percentages ...
What is 5% of360?
!0% is 350 ÷ 10 = 36
half of 36 is 18
5% of 360 is 18.
What is 15% of360?
!0% is 350 ÷ 10 = 36
add a half of 36 (5%) which is 18
36 + 18 = 54
15% of 360 is 54.
Back at school
PERCENTAGES
Amy has £90 in her bank account.
She takes 20% out to buy a present.
How much does the present cost?
£18
First find 10% by dividing £90 by 10.
£90 ÷ 10 = £9
20% is double this amount. £9 x 2 = £18
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Back at school
PERCENTAGES
A school has 350 children.
40% are boys.
How many are girls?
If 40% are boys then 60% are girls.
Find 60% of 350.
60% is 10% x 6
First find 10% by dividing 350 by 10.
350 ÷ 10 = 35.
Multiply this answer by 6.
6 x 35 = 210
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Looking at graphs … pictogram
Pepsi
12
7-up
3
Coke
15
Vimto
9
3 children
The graph shows the favourite drinks of children in class 3
How many children like Coke?
How many more children like Vimto than 7-up?
How many children are in the survey?
15
6
39
Looking at graphs … bar graphs
Gap is 2mm
6mm
6mm
5mm The graph shows
4mm
rainfall in a
4mm
wet week
3mm
2mm
1mm
0mm
0mm
Mon
Tue
Wed Thurs Fri
sat
Looking at graphs … bar graphs
6mm
6mm
5mm The graph shows
4mm
rainfall in a
4mm
wet week
3mm
2mm
1mm
0mm
0mm
Mon
Tue
Wed Thurs Fri
sat
How much more rain fell on Wednesday than Tuesday?
6mm - 1mm = 5mm
Looking at graphs … bar graphs
6mm
6mm
5mm The graph shows
4mm
rainfall in a
4mm
wet week
3mm
2mm
1mm
0mm
0mm
Mon
Tue
Wed Thurs Fri
sat
How much rain fell during the six days altogether?
4mm + 1mm + 6mm + 3mm + 5mm = 19mm
Looking at graphs … bar graphs
6mm
6mm
5mm The graph shows
4mm
rainfall in a
4mm
wet week
3mm
2mm
1mm
0mm
0mm
Mon
Tue
Wed Thurs Fri
sat
12 mm of rain fell on Saturday and Sunday
altogether.
How much rain fell on Sunday?
12mm - 5mm = 7mm
Reading books ...
Amy
The graph shows
the number of books
read by a group of
children in as
month.
Ben
Jack
Emily
Tom
0
2
4
6
8
10
TASK 1: Annotate the graph to put in information you might need
TASK 2: Think about some of the questions that might be asked
using the information on the graph.
Back at school
HANDLING DATA
The chart shows the favourite sports of a group of children
1 child
TENNIS
NETBALL
FOOTBALL
13
ROUNDERS
5
CRICKET
How many more children liked football than rounders?
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8
Back at school
HANDLING DATA
The chart shows the favourite sports of a group of children
1 child
TENNIS
NETBALL
8
FOOTBALL
ROUNDERS
CRICKET
6
How many children liked netball and cricket altogether?
14
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Back at school
HANDLING DATA
The chart shows the favourite sports of a group of children
TENNIS
5
NETBALL
8
FOOTBALL
13
ROUNDERS
5
CRICKET
6
1 child
19 of the children surveyed were girls. How many were boys?
Total children 37. 37 children - 19 girls leaves 18 boys
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HANDLING DATA
Back at school
8
£ 4
6
8
7
4
2
0
The graph shows the
amount of money
collected by five
children to buy CDs
for their school.
Amy Ben Jack Emily Tom
Who collected £4 more than Tom?
How much did Emily collect?
How much did the children collect altogether?
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Amy
£7
£27
HANDLING DATA
Back at school
12
Yellow
6
White
The results are shown in the
pie chart.
Red
18
Jack did a survey of 48
football club colours.
Blue
12
Estimate (it can be done quite
accurately) how many of each
colour of shirt he found.
Explain your reasoning.
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Oh, those measures ...
READING THOSE SCALES: How to do it.
2
4
6
0
10
17
20
Look for the zero and the first number on the scale line.
Count the number of divisions.
Divide the number on the scale line by the number of divisions.
20 ÷ 10 = 2.
Oh, those measures ...
READING THOSE SCALES: How to do it.
TASK: Calculate the value of the
small gap.
The large gap is 50.
250
There are 5 divisions.
50 ÷ 5 = 10
What values are indicated by
the arrows?
200
230
150
10
275
Oh, those measures ...
READING THOSE SCALES: How to do it.
The scale is showing Kilograms.
The blue indicator is showing
1.5 Kg or 1500 grams.
0
3
How do you know?
1
2
Oh, those measures ...
READING THOSE SCALES: How to do it.
The scale is showing Kilograms.
What weight is now shown by
the arrow?
0
3.5 Kg or 3500 g
3
1
2
Oh, those measures ...
READING THOSE SCALES: How to do it.
The scale is showing Kilograms.
What weight is now shown by
the arrow?
0
2.7 Kg or 2700 g
3
1
2
Between 2650 g
and 2750 g would
be accepted.
Try this one ...
Jack has 2 cylinders of liquid.
He pours the contents of each
400ml
cylinder into another container.
Draw a line on the scale on the right
340ml
to show how full the new container
would be.
Each small
division is 20
300ml
180 ml
160 ml
200ml
160 ml +180 ml = 340 ml
Back at school
200g
READING SCALES
Remember what to do first…
25g
Ben weighs a parcel.
Its weight is shown by the arrow.
300g
How much does Ben’s parcel weigh?
275g
Amy’s parcel weighs he parcel.
400g
It weighs 360g.
Put an arrow where the weight would
be shown.
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Back at school SOLVING PROBLEMS
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Back at school SOLVING PROBLEMS
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Properties of shapes ...
IDENTIFYING SHAPES
3
5
4
8
5
4
E
F
G
C
A
B
D
4
Which of these shapes are quadrilaterals?
Quadrilaterals have four sides.
Count the sides in each shape and write them down.
A D and G are quadrilaterals
Identifying properties ...
B
A
Look at the triangles on
the grid.
Using the properties shown
put each triangle in the
correct region in the
diagram.
C
D
Has a right
angle
Not isosceles
Isosceles
D
A
Has obtuse
angle
C
Has 3 acute
angles
B
A
Area...
Look at the areas of
the drawings on the
grid.
B
C
D
Match the areas of
the drawings with
the same areas of
the rectangles on
the right.
Use a line to join
them up.
A
14
12
B
C
16
8
9
8
12
14
D
16
24
Area...
Back at school SOLVING PROBLEMS
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Back at school SOLVING PROBLEMS
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Perimeter ...
10 cm
6 cm
8 cm
Ben has three shapes like this one.
He puts them together to make new
shape.
What is the perimeter of his new shape?
Perimeter ...
10 cm
6 cm
Mark the length of each
side on your new shape
8 cm
Add together the lengths.
2 cm
10 cm
6 cm
8 cm
30cm + 10cm + 8cm =48cm
10 cm
2 cm
10 cm
Perimeter ...
The perimeter of the regular hexagon is 24 cm.
Emily joins four similar hexagons to make a new shape.
What is its perimeter?
Each side is 4 cm.
Calculate the visible perimeter of
each individual hexagon
20 cm
Add together each perimeter.
12 cm
20 cm
60 cm + 12 cm = 72 cm
20 cm
Back at school SOLVING PROBLEMS
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Back at school SOLVING PROBLEMS
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Symmetry ...
Draw one line of symmetry on each of these shapes.
Back at school
SYMMETRY
Add one square to each of these identical shapes to make
three different symmetrical shapes. Draw in a line of
symmetry
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Symmetry ...
D
Which of the shapes below is a reflection of the one above?
A
B
C
D
E
Back at school
SYMMETRY
Draw the reflection of this shape in the mirror line.
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Drawing the reflection of a shape ...
Drawing the reflection of a shape ...
Back at school
SYMMETRY
Draw the reflection of this shape in the mirror line.
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Drawing the reflection of a shape ...
Drawing or completing a shape
Draw two lines to
complete the rectangle
Back at school
SYMMETRY
Draw the reflection of this shape in the mirror line
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Back at school
SYMMETRY
Draw the reflection of this shape in the mirror line
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Back at school SOLVING PROBLEMS
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Drawing a shape ...
Join dots to draw a triangle that does not have a right angle
Drawing a shape ...
Join dots to draw a triangle that has an obtuse angle
Knowing angles and lines ...
Measure the longest line in the drawing.
Measure the smallest angle in the drawing.
Back at school SOLVING PROBLEMS
Draw a triangle with three acute angles.
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Back at school SOLVING PROBLEMS
Draw a triangle with three acute angles.
OR
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Back at school SOLVING PROBLEMS
Draw a quadrilateral with one pair of parallel sides
and no right angles.
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Back at school SOLVING PROBLEMS
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