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NUMBER
ALGEBRA
F
F
E
E
D
C
D
C
SHAPE
HANDLING
SPACE & M
DATA
F
E
SHAPE and
SPACE
D
C
F
E
HANDLIN
G DATA
D
C
SHAPE and
SPACE
HANDLIN
G DATA
SHAPE and
SPACE
HANDLIN
G DATA
Simon thinks of a three digit number.
When Jenny asked him to take away 53
Simon got the answer shown:
47
What was Simon’s number?
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Answer
Simon thinks of a three digit number.
When Jenny asked him to take away 53
Simon got the answer shown:
47
What was Simon’s number?
Back to board
100
What numbers would you use to help
find an approximate answer to:
29 x 41
and what would your approximate
answer be?
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Answer
What numbers would you use to help
find an approximate answer to:
29 x 41
and what would your approximate
answer be?
30 x 40
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1200
Increase the amount shown by 20%.
£56
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Answer
Increase the amount shown by 20%.
£56
£67.20
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Explain?
Increase the amount shown by 20%.
10% = £5.60
so:
£56.00
+ £11.20
£67.20
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£56
£67.20
Both the numbers shown have been written as
a product of their prime factors. What is the
highest common factor of the numbers?
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540
450
22 x 3 3 x 5
2 x 32 x 52
Answer
Both the numbers shown have been written as
a product of their prime factors. What is the
highest common factor of the numbers?
540
450
22 x 3 3 x 5
2 x 32 x 52
90
Back to board
Explain?
Both the numbers shown have been written as
a product of their prime factors. What is the
highest common factor of the numbers?
540
450
22 x 3 3 x 5
2 x 32 x 52
90
Both numbers are divisible by 2, 32 and 5.
So the HCF = 2 x 32 x 5
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Which numbers below have 4
as a factor?
Back to board
54
35
32
12
24
56
18
28
25
58
47
15
Answer
Which numbers below have 4
as a factor?
Back to board
54
35
32
12
24
56
18
28
25
58
47
15
Explain?
Which numbers below have 4
as a factor?
54
35
32
12
24
56
18
28
25
58
47
15
When these numbers are divided
by 4 there is no remainder.
Back to board
y
5
C
4
3
A
2
What are the vertex
co-ordinates of the
quadrilateral?
1
-5 -4 -3 -2
-1
0
1
2
3
4
5
x
-1
-2
D
B
-3
-4
-5
Back to board
Answer
y
5
C
4
3
A
2
What are the vertex
co-ordinates of the
quadrilateral?
1
-5 -4 -3 -2
-1
0
1
2
3
D
-3
-4
-5
Back to board
5
x
A = (4,2)
B = (2,-2)
-1
-2
4
B
C = (-4,3)
D = (-3,-3)
Jumbo drove x miles on Monday, twice as far on
Tuesday and 25 miles on Wednesday. If the total
distance that Jumbo drove is D miles, write an
equation for this distance.
x miles
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Answer
Jumbo drove x miles on Monday, twice as far on
Tuesday and 25 miles on Wednesday. If the total
distance that Jumbo drove is D miles, write an
equation for this distance.
x miles
D = 3x + 25
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Explain?
Jumbo drove x miles on Monday, twice as far on
Tuesday and 25 miles on Wednesday. If the total
distance that Jumbo drove is D miles, write an
equation for this distance.
x miles
D = 3x + 25
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x + 2x + 25 = 3x + 25
What is the inequality shown on the number
line below? (Use n as the variable)
-6 -5 -4 -3 -2 -1
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0
1
2
3
4
5
6
Answer
What is the inequality shown on the number
line below? (Use n as the variable)
-6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
0n5
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Explain?
What is the inequality shown on the number
line below? (Use n as the variable)
-6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
Remember:
Full circles include the number.
whereas:
Open circles exclude the number.
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0n5
Estimate the size of the angle shown.
a
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Answer
Estimate the size of the angle shown.
65o
a
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Approximately how many centimetres
are there in 4 inches?
INCHES
1
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2
3
4
5
6
Answer
Approximately how many centimetres
are there in 4 inches?
INCHES
1
2
3
4
4 inches  10 cm
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Explain?
5
6
Approximately how many centimetres
are there in 4 inches?
INCHES
1
2
3
4
5
6
4 inches  10 cm
1 inch  2.5 cm
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The shape below is a regular pentagon.
Calculate the angles shown.
b a
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Answer
The shape below is a regular pentagon.
Calculate the angles shown.
b a
Angle a = 72o
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Angle b = 108o
Explain?
The shape below is a regular pentagon.
Calculate the angles shown.
Exterior angle (a)
= 360/5 = 72o
Interior angle (b)
= 180 - 72 = 108o
b a
Angle a = 72o
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Angle b = 108o
Describe the locus of all points that
remain equidistant from lines AB and AC.
C
A
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B
Answer
Describe the locus of all points that
remain equidistant from lines AB and AC.
The angular
bisector of
angle A.
C
A
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B
Explain?
Describe the locus of all points that
remain equidistant from lines AB and AC.
The angular
bisector of
angle A.
C
A
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B
The bar charts show how many
people attended a new judo
club in the first 3 weeks.
1st Week
Judo Club
30
20
The combined attendance
for T/W/Th each week was
the same. True or false?
10
0
M
T
W
Th
F
2nd Week
30
Judo Club
30
Judo Club
20
20
10
10
0
3rd Week
M
Back to board
T
0
W
Th
F
M
T
W
Th
F
Answer
The bar charts show how many
people attended a new judo
club in the first 3 weeks.
1st Week
Judo Club
30
20
The combined attendance
for T/W/Th each week was
the same. True or false?
10
0
M
T
W
Th
F
2nd Week
30
Judo Club
20
20
10
10
0
True
Judo Club
30
3rd Week
M
Back to board
T
0
W
Th
F
Explain?
M
T
W
Th
F
The bar charts show how many
people attended a new judo
club in the first 3 weeks.
1st Week
Judo Club
30
20
The combined attendance
for T/W/Th each week was
the same. True or false?
10
0
M
T
W
Th
F
2nd Week
30
Judo Club
20
20
10
10
0
True
Judo Club
30
3rd Week
M
T
0
W
Th
F
M
T
W
Attendance at the club for Monday,
Tuesday and Wednesday was 60 in
each of the three weeks.
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Th
F
Prof and Beaky took it in turns to throw two dice.
Prof started first and his scores are shown in
black and Beaky’s are shown in red.
(a) What is the mean score for Prof?
(b) What is the mean score for Beaky?
12, 4, 8, 7, 7, 6, 5, 11
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Answer
Prof and Beaky took it in turns to throw two dice.
Prof started first and his scores are shown in
black and Beaky’s are shown in red.
(a) What is the mean score for Prof?
(b) What is the mean score for Beaky?
12, 4, 8, 7, 7, 6, 5, 11
Mean for Prof = 8
Mean for Beaky = 7
Back to board
Explain?
Prof and Beaky took it in turns to throw two dice.
Prof started first and his scores are shown in
black and Beaky’s are shown in red.
(a) What is the mean score for Prof?
(b) What is the mean score for Beaky?
12, 4, 8, 7, 7, 6, 5, 11
Back to board
Mean for Prof = 8
32/4 = 8
Mean for Beaky = 7
28/4 = 7
When a coin is tossed it can land on heads or
tails. How many possible outcomes are there
for tossing three coins?
Head
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Head
Tail
Answer
When a coin is tossed it can land on heads or
tails. How many possible outcomes are there
for tossing three coins?
Head
Head
Tail
8
Back to board
Explain?
When a coin is tossed it can land on heads or
tails. How many possible outcomes are there
for tossing three coins?
Head
Head
Tail
HHH, HHT, HTH, THH,
TTT,
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TTH,
THT, HTT
8
The pointer on the hexagonal spinner
(regular) below is spun.
8
2
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2
5
5
2
Let A be the event
‘landing on a 5’.
Let B be the event
‘landing on a green’.
(a) Are these events
mutually exclusive?
(b) What is the
probability of the pointer
landing on a 5 or yellow?
Answer
The pointer on the hexagonal spinner
(regular) below is spun.
8
2
2
5
Let A be the event
‘landing on a 5’.
Let B be the event No
‘landing on a green’.
(a) Are these events
mutually exclusive?
5
2
(b) What is the
probability of the pointer
landing on a 5 or yellow?
½
Back to board
Explain?
The pointer on the hexagonal spinner
(regular) below is spun.
8
2
2
5
5
2
Let A be the event
‘landing on a 5’.
Let B be the event No
‘landing on a green’.
(a) Are these events
mutually exclusive?
(b) What is the
probability of the pointer
landing on a 5 or yellow?
½
(a) Since both events can happen at the same time
they are not mutually exclusive.
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(b) P(5 or yellow) = P(5) + P(yellow) = 2/6 + 1/6 = 3/6 = ½.
(The addition principle can be used as the events are
mutually exclusive.