Board 3 - Sirius Academy

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Transcript Board 3 - Sirius Academy

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NUMBER
ALGEBRA
3
4
3
4
5
6
5
6
SHAPE
HANDLING
SPACE & M
DATA
3
4
3
4
SHAPE and
SPACE
HANDLING
DATA
SHAPE and
SPACE
HANDLING
DATA
SHAPE and
SPACE
5
6
HANDLING
DATA
SHAPE and
SPACE
HANDLING
DATA
5
6
The numbers in the circles must add up to
100 in total. What is the value of the missing
number?
15
20
?
10
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25
Answer
The numbers in the circles must add up to
100 in total. What is the value of the missing
number?
15
20
30
10
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25
Estimate the proportion of the rectangle
that is coloured red as:
(a) A fraction and (b) A percentage.
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Answer
Estimate the proportion of the rectangle
that is coloured red as:
(a) A fraction and (b) A percentage.
(a) 1/5
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(b) 20%
Explain?
Estimate the proportion of the rectangle
that is coloured red as:
(a) A fraction and (b) A percentage.
1 out of 5
20 out of 100
(a) 1/5
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(b) 20%
What percentage of each shape is
shaded blue?
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Answer
What percentage of each shape is
shaded blue?
36 %
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40 %
Explain?
What percentage of each shape is
shaded blue?
4/10 = 40%
36/100
= 36%
36 %
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40 %
Express £12 as a
percentage of £20.
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Answer
Express £12 as a
percentage of £20.
60%
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Explain?
Express £12 as a
percentage of £20.
x5
60
12
?
=
20
100
x5
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60%
Work out the missing numbers in
each equation.
(a) 17 + ? = 30
(b) 4 x 300 = ?
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Answer
Work out the missing numbers in
each equation.
(a) 17 + ? = 30
13
(b) 4 x 300 = ?
1200
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Ollie said that a formula for the number of
strips of wood in any diagram is:
“Multiply the diagram number by 3 and add 1.
How many strips of wood are in the 8th diagram?
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1
2
3
4
7
10
Answer
Ollie said that a formula for the number of
strips of wood in any diagram is:
“Multiply the diagram number by 3 and add 1.
How many strips of wood are in the 8th diagram?
1
2
3
4
7
10
25
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Explain?
Ollie said that a formula for the number of
strips of wood in any diagram is:
“Multiply the diagram number by 3 and add 1.
How many strips of wood are in the 8th diagram?
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3
1
2
4
7
10
3 x 8 + 1 = 25
25
(a) How many balls are in the next pattern?
(b) What is the name of this number sequence?
?
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Answer
(a) How many balls are in the next pattern?
(b) What is the name of this number sequence?
6x6
5x5
4x4
?
Square Numbers
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9
Write down an expression for the perimeter
of the rectangular marble slab.
3x + 2
x
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Answer
Write down an expression for the perimeter
of the rectangular marble slab.
3x + 2
x
8x + 4
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Explain?
Write down an expression for the perimeter
of the rectangular marble slab.
3x + 2
x
x + 3x + 2 + x + 3x + 2 = 8x + 4
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8x + 4
How many lines of symmetry
does the shape below have?
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Answer
How many lines of symmetry
does the shape below have?
3
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Explain?
How many lines of symmetry
does the shape below have?
3
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Snoopy drew the octagon on 1 cm square
paper. Work out the area of the octagon. Hippo
said that it is a regular octagon. Is he right?
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Answer
Snoopy drew the octagon on 1 cm square
paper. Work out the area of the octagon. Hippo
said that it is a regular octagon. Is he right?
Area
= 28 cm2
No. The
sides are not
all equal in
length.
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Explain?
Snoopy drew the octagon on 1 cm square
paper. Work out the area of the octagon. Hippo
said that it is a regular octagon. Is he right?
24 whole squares
+ 8 half squares
= 28 squares
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Area
= 28 cm2
No. The
sides are not
all equal in
length.
What is the order of rotational symmetry
for the shape shown?
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Answer
What is the order of rotational symmetry
for the shape shown?
Order 4
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Explain?
What is the order of rotational symmetry
for the shape shown?
4
3
2
1
Order 4
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N
D
A
Estimate the bearing
of each aircraft from
the centre of the
radar screen.
E
W
B
C
S
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Answer
330o
N
030o
D
A
E
W
240o
Estimate the bearing
of each aircraft from
the centre of the
radar screen.
B
C
135o
S
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Explain?
330o
N
030o
D
A
Estimate the bearing
of each aircraft from
the centre of the
radar screen.
Bearings are:
•Measured from North
W
240o
•In a clockwise direction
B
C
•Using 3 figures
135o
S
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Use the pictogram to work out how
many pets year 3 children had.
Key:  Stands for 4 pets
Year 2
Year 3
Year 4
Year 5
Year 6
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




Answer
Use the pictogram to work out how
many pets year 3 children had.
Key:  Stands for 4 pets
Year 2
Year 3
Year 4
Year 5
Year 6
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
 24



The number of matches in six (full) boxes
was counted. What is the mode and range
for this data.
52
50
51
49
52
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52
Answer
The number of matches in six (full) boxes
was counted. What is the mode and range
for this data.
52
50
51
49
52
52
Mode = 52
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Explain?
Range = 3
The number of matches in six (full) boxes
was counted. What is the mode and range
for this data. The mode is the most frequent value.
52
50
51
49
52
52
Mode = 52
Range = 3
Range = largest value – smallest value (52 - 49)
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+1
2
3
4
5
The outcome table
7 shows the scores
for throwing 2 dice.
8
What is the
9 probability of getting
10 a score of 8?
6
1
2
3
4
5
6
2
3
4
5
6
7
3
4
5
6
7
8
4
5
6
7
8
9
5
6
7
8
9 10 11
6
7
8
9 10 11 12
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Answer
+1
2
3
4
5
The outcome table
7 shows the scores
for throwing 2 dice.
8
What is the
9 probability of getting
10 a score of 8?
6
1
2
3
4
5
6
2
3
4
5
6
7
3
4
5
6
7
8
4
5
6
7
8
9
5
6
7
8
9 10 11
6
7
8
9 10 11 12
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Explain?
5/36
5 wanted outcomes
out of a total of 36.
+1
2
3
4
5
The outcome table
7 shows the scores
for throwing 2 dice.
8
What is the
9 probability of getting
10 a score of 8?
6
1
2
3
4
5
6
2
3
4
5
6
7
3
4
5
6
7
8
4
5
6
7
8
9
5
6
7
8
9 10 11
6
7
8
9 10 11 12
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5/36
Shoe Size
Height
Soup Sales
Describe the type of correlation in
each of the cases shown.
Temperature
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Shoe Size
Annual Income
Answer
Shoe Size
Height
Soup Sales
Describe the type of correlation in
each of the cases shown.
Temperature
Shoe Size
Annual Income
Negative
Positive
None
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