Download Board 5 - Sirius Academy

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SHAPE
HANDLING
SPACE & M
DATA
NUMBER
ALGEBRA
F
F
F
F
E
D
E
SHAPE and
SPACE
E
HANDLIN
G DATA
C
D
C
D
C
E
D
C
SHAPE and
SPACE
HANDLIN
G DATA
SHAPE and
SPACE
HANDLIN
G DATA
Follow the
footballs to the
top and add up
the tyre numbers
as you go.
7
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15
12
10
8
9
Answer
Follow the
footballs to the
top and add up
the tyre numbers
as you go.
7
15
12
10
8
9
35
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Two parts of the regular pentagon are coloured
blue. What is: (a) the fraction, (b) the decimal
and (c) the percentage of the shape that is
coloured blue?
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Answer
Two parts of the regular pentagon are coloured
blue. What is: (a) the fraction, (b) the decimal
and (c) the percentage of the shape that is
coloured blue?
2/5
0.4
40%
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Explain?
Two parts of the regular pentagon are coloured
blue. What is: (a) the fraction, (b) the decimal
and (c) the percentage of the shape that is
coloured blue?
2/5
0.4
2 parts out of a
total of 5 parts
are coloured
blue.
40%
2
5
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=
40
4
=
100
10
The exact attendance at a football
match is shown below. Write this
number to 2 significant figures.
36 484
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Answer
The exact attendance at a football
match is shown below. Write this
number to 2 significant figures.
36 484
36 000
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Explain?
The exact attendance at a football
match is shown below. Write this
number to 2 significant figures.
36 484
So round down
and add the zeros.
5 or bigger ?
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
36 000
The cost of 8 oranges is £1.92. Find
the cost of 7 oranges.
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Answer
The cost of 8 oranges is £1.92. Find
the cost of 7 oranges.
£1.68
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Explain?
The cost of 8 oranges is £1.92. Find
the cost of 7 oranges.
The cost of 7
oranges must be
7/8 of the cost of 8.
7 x £1.92 = £1.68
8
£1.68
(192/8 = 24p)
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Find a number that is a multiple of 5
and a multiple of 6.
5 12 20 28
36 15 6 18 32
10 24 30 8
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Answer
Find a number that is a multiple of 5
and a multiple of 6.
5 12 20 28
36 15 6 18 32
10 24 30 8
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Explain?
Find a number that is a multiple of 5
and a multiple of 6.
5 12 20 28
36 15 6 18 32
10 24 30 8
30 is in the 5 times table
and the 6 times table.
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Work out the value of V
when m = 5.
V = 2m + 8
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Answer
Work out the value of V
when m = 5.
V = 2m + 8
V = 18
Back to board
Explain?
Work out the value of V
when m = 5.
V = 2m + 8
V = 2 x 5 + 8 = 18
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V = 18
?
3y
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5x
The expression in
each white triangle is
found by adding those
in the two triangles
beneath. Find the
expression for the top
5x - 2y triangle.
-2y
Answer
?
3y
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5x
The expression in
each white triangle is
found by adding those
in the two triangles
beneath. Find the
expression for the top
5x - 2y triangle.
-2y
10x + y
Explain?
?
5x + 3y
3y
5x
The expression in
each white triangle is
found by adding those
in the two triangles
beneath. Find the
expression for the top
5x - 2y triangle.
-2y
5x + 3y + 5x - 2y = 10x + y
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10x + y
(a) Find the rule for the nth term, (tn) in
the sequence below.
(b) Use your rule to calculate the 9th
term (t9).
3, 6, 11, 18, 27,…..
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Answer
(a) Find the rule for the nth term, (tn) in
the sequence below.
(b) Use your rule to calculate the 9th
term (t9).
3, 6, 11, 18, 27,…..
(a) tn = n2 + 2
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Explain?
(b) t9 = 83
(a) Find the rule for the nth term, (tn) in
the sequence below.
(b) Use your rule to calculate the 9th
term (t9).
1
2
3
4
5
Term
n
numbers
3, 6, 11, 18, 27,…..
(a) The term number2 + 2 gives the rule.
(b) t9 = 92 + 2 = 83.
(a) tn = n2 + 2
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(b) t9 = 83
Which three of the six nets shown
are nets of a cube.
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Answer
Which three of the six nets shown
are nets of a cube.



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How many centimetres are there in
the number of metres shown?
3¼ m
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Answer
How many centimetres are there in
the number of metres shown?
3¼ m
325
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Explain?
How many centimetres are there in
the number of metres shown?
3¼ m
1 m = 100 cm
3 ¼ x 100 = 325
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325
Plan View
Front Elevation
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Decide which of the three
views of the object below
show the plan, side and
front elevations.
Side Elevation
Answer
Plan View
Decide which of the three
views of the object below
show the plan, side and
front elevations.
Front Elevation
Front Elevation
Side Elevation
Side Elevation
Plan
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A lorry travels along a motorway from
junction 35 to junction 37. The journey time is
30 minutes. Find its average speed in mph.
35
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12 miles
36
15 miles
37
Answer
A lorry travels along a motorway from
junction 35 to junction 37. The journey time is
30 minutes. Find its average speed in mph.
35
12 miles
36
15 miles
37
54 mph
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Explain?
A lorry travels along a motorway from
junction 35 to junction 37. The journey time is
30 minutes. Find its average speed in mph.
35
12 miles
36
15 miles
37
Distance
Time
27
Speed =
= 54
½
Speed =
54 mph
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People visiting Gym
50
How many people
in total visited the
gym on Tuesday
and Wednesday.
40
30
20
10
0
Mon
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Tue
Wed
Thu
Fri
Answer
People visiting Gym
50
How many people
in total visited the
gym on Tuesday
and Wednesday.
40
30
20
80
10
0
Mon
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Tue
Wed
Thu
Fri
Explain?
People visiting Gym
50
45
40
How many people
in total visited the
gym on Tuesday
and Wednesday.
35
30
20
80
10
0
Mon
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Tue
Wed
Thu
Fri
Prof and Beaky are playing a game of cards.
Beaky asks Prof to take a card at random from
her hand. What is the probability that Prof
takes a card that is not a Jack?
Beaky’s Hand
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Answer
Prof and Beaky are playing a game of cards.
Beaky asks Prof to take a card at random from
her hand. What is the probability that Prof
takes a card that is not a Jack?
5
7
Beaky’s Hand
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Explain?
Prof and Beaky are playing a game of cards.
Beaky asks Prof to take a card at random from
her hand. What is the probability that Prof
takes a card that is not a Jack?
5 of the cards
are “not jacks”
5
7
Beaky’s Hand
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Out of a total
of 7cards.
80 people were asked which one of three sports
they preferred to watch. Complete the partially
filled two-way table below.
Football Rugby
Male
12
Female
8
Total
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Cricket
Total
7
40
10
80
Answer
80 people were asked which one of three sports
they preferred to watch. Complete the partially
filled two-way table below.
Football Rugby
Cricket
Total
Male
12
21
7
40
Female
8
10
22
40
Total
20
31
29
80
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Use the histogram and frequency polygon to estimate the
mean time taken for the 45 runners to complete the race.
Time Taken for Race
Frequency
20
15
10
5
0
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10
20
30 40
Time in minutes
50
60
Answer
Use the histogram and frequency polygon to estimate the
mean time taken for the 45 runners to complete the race.
Time Taken for Race
Frequency
20
15
10
5
0
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10
20
30 40
Time in minutes
Explain?
50
60
32.8 mins
Use the histogram and frequency polygon to estimate the
mean time taken for the 45 runners to complete the race.
Time Taken for Race
Frequency
20
15
10
5
0
10
20
30 40
Time in minutes
50
60
32.8 mins
7 x 15 + 10 x 25 + 18 x 35 + 6 x 45 + 4 x 55
= 32.8
45
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Numbers in blue are the midpoints of the intervals.