Maths - The Warwick School
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Transcript Maths - The Warwick School
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SHAPE
HANDLING
SPACE & M
DATA
NUMBER
ALGEBRA
E
E
D
E
D
E
D
C
B
C
B
C
B
D
C
B
oC
30o
20o
10o
Put the following oC
temperatures in order of
size smallest to largest.
8
0o
-10o
Back to board
-3
0
4
-10
Answer
oC
30o
20o
10o
Put the following oC
temperatures in order of
size smallest to largest.
8
0o
-10o
-3
0
4
- 10, -3, 0, 4, 8
Back to board
Explain?
-10
oC
30o
20o
10o
Put the following oC
temperatures in order of
size smallest to largest.
8
0o
-10o
-3
0
4
- 10, -3, 0, 4, 8
Back to board
-10
Write the improper fraction below as
a mixed number.
23
8
Back to board
Answer
Write the improper fraction below as
a mixed number.
23
8
2
Back to board
7
8
Jenny has £1000 in her building society account on 1st
January 2006. The interest rate is fixed at 5%. She
intends to leave the money in the account for 3 years
without making any withdrawals.
(a) What do you multiply the £1000 by to get the amount
at the end of the first year?
(b) What is balance for her account on 1st January 2009 .
Date
Amount
Jan 1st 2006
£1000
Jan 1st 2007
Jan 1st 2008
Jan 1st 2009
Back to board
Answer
Jenny has £1000 in her building society account on 1st
January 2006. The interest rate is fixed at 5%. She
intends to leave the money in the account for 3 years
without making any withdrawals.
(a) What do you multiply the £1000 by to get the amount
at the end of the first year?
(b) What is balance for her account on 1st January 2009 .
Date
Amount
Jan 1st 2006
£1000
(a) 1.05
Jan 1st 2007
Jan 1st 2008
Jan 1st 2009
Back to board
Explain?
(b) £1157.63
Jenny has £1000 in her building society account on 1st
January 2006. The interest rate is fixed at 5%. She
intends to leave the money in the account for 3 years
without making any withdrawals.
(a) What do you multiply the £1000 by to get the amount
at the end of the first year?
(b) What is balance for her account on 1st January 2009 .
Date
Amount
Jan 1st 2006
£1000
Jan 1st 2007
£1050
Jan
1st
2008
Jan 1st 2009
£1102.50
£1157.63
(a) 1.05
x 1.05
(b) £1157.63
(a) An increase of 5% means that the new amount is 105% of the
original value and a 105% = 105/100 = 1.05 as a multiplier.
(b) Apply the multiplier repeatedly to get the new amount at the end
of each year.
Back to board
Notice that 1000 x 1.053 gets the answer more efficiently.
The table shows the birth rates per 1000 people in five
countries as recorded in 1975 and 2005. In country A
the birth rate fell by 24.6% in 2005. Use a multiplier to
calculate the birth rate in country A for 2005 (1 dp).
1975
Back to board
2005
A
18.4
B
23.6
17.3
C
9.5
12.7
D
13.7
16.4
Answer
The table shows the birth rates per 1000 people in five
countries as recorded in 1975 and 2005. In country A
the birth rate fell by 24.6% in 2005. Use a multiplier to
calculate the birth rate in country A for 2005 (1 dp).
1975
2005
A
18.4
B
23.6
17.3
C
9.5
12.7
D
13.7
16.4
13.9
Back to board
Explain?
The table shows the birth rates per 1000 people in five
countries as recorded in 1975 and 2005. In country A
the birth rate fell by 24.6% in 2005. Use a multiplier to
calculate the birth rate in country A for 2005 (1 dp).
1975
2005
A
18.4
B
23.6
17.3
C
9.5
12.7
D
13.7
16.4
18.4 x 0.754 =13.9
13.9
A percentage fall of 24.6% implies a
new percentage of 75.4% = 0.754
Back to board
The number sequence below is called the
Fibonacci Sequence and is named after a
mathematician who lived many hundreds of
years ago. Each number in the sequence is the
sum of the two previous numbers. Work out the
next 3 numbers of this sequence.
1, 1, 2, 3, 5, 8,…
Back to board
Answer
The number sequence below is called the
Fibonacci Sequence and is named after a
mathematician who lived many hundreds of
years ago. Each number in the sequence is the
sum of the two previous numbers. Work out the
next 3 numbers of this sequence.
1, 1, 2, 3, 5, 8,…
13, 21, 34
Back to board
The first 4 terms of a number sequence are
shown below. Describe in words the rule
that gives the nth term in the sequence.
1
2
3
4 ………
4,
7,
10,
13,………
Back to board
nth
Answer
The first 4 terms of a number sequence are
shown below. Describe in words the rule
that gives the nth term in the sequence.
1
2
3
4 ………
4,
7,
10,
13,………
nth
Multiply the term number by 3 and add 1
Back to board
Simplify the expression below:
7 + 5(3x + 6) - 2(x + 4) - 3
Back to board
Answer
Simplify the expression below:
7 + 5(3x + 6) - 2(x + 4) - 3
13x + 26
Back to board
Explain?
Simplify the expression below:
7 + 5(3x + 6) - 2(x + 4) - 3
Expanding each bracket gives:
7 +15x + 30 - 2x - 8 - 3
Collecting like terms gives:
13x + 26
Back to board
13x + 26
Determine the inequality that describes the
shaded region below.
y
8
6
4
2
-8 -6 -4 -2 0
-2
2
4
6 8
x
-4
-6
-8
Back to board
Answer
Determine the inequality that describes the
shaded region below.
y
8
6
4
2
-8 -6 -4 -2 0
-2
2
4
6 8
x
-4
-6
-8
Back to board
Explain?
yx-2
Determine the inequality that describes the
shaded region below.
y
8
6
4
Equation of
line is y = x - 2
2
-8 -6 -4 -2 0
-2
-4
-6
-8
Back to board
2
4
6 8
x
For all points x
and y within the
region, y is x -2
yx-2
What is the order of rotational symmetry
for the shape below?
Back to board
Answer
What is the order of rotational symmetry
for the shape below?
3
Back to board
Explain?
What is the order of rotational symmetry
for the shape below?
3
2
Back to board
1
Match the congruent shapes.
C
B
A
D
E
Back to board
F
G
Answer
Match the congruent shapes.
C
B
A
D
E
Back to board
F
G
Calculate the volume of the cylinder. (1 dp)
6 cm
8 cm
Back to board
Answer
Calculate the volume of the cylinder. (1 dp)
6 cm
8 cm
904.8 cm3
Back to board
Explain?
Calculate the volume of the cylinder. (1 dp)
6 cm
8 cm
Remember
V = r2h
Back to board
V = x 62 x 8 =
904.8 cm3
Find the angle of elevation of the top
of the statue (1 dp).
43.5 m
75 m
Back to board
Answer
Find the angle of elevation of the top
of the statue (1 dp).
43.5 m
30.1o
75 m
Back to board
Explain?
Find the angle of elevation of the top
of the statue (1 dp).
43.5
tan x
75
43.5
x tan
30.1o
75
1
43.5 m
30.1o
Angle of
elevation
75 m
Back to board
xo
Prof and Beaky are
playing a dart game at
the fair. Beaky throws a
dart at random at the
cards. What is the
probability that she hits
a picture card?
Back to board
Answer
Prof and Beaky are
playing a dart game at
the fair. Beaky throws a
dart at random at the
cards. What is the
probability that she hits
a picture card?
5/9
Back to board
Explain?
Prof and Beaky are
playing a dart game at
the fair. Beaky throws a
dart at random at the
cards. What is the
probability that she hits
a picture card?
5/9
5 of the cards are picture
cards out of a total of 9 cards.
Back to board
Prof did a survey about the colour of cars passing
underneath a motor way bridge. From the data he
constructed the table of probabilities shown below.
Use the table to calculate the probability that a car
passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15
?
0.1
Back to board
Answer
Prof did a survey about the colour of cars passing
underneath a motor way bridge. From the data he
constructed the table of probabilities shown below.
Use the table to calculate the probability that a car
passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15
?
0.1
0.38
Back to board
Explain?
Prof did a survey about the colour of cars passing
underneath a motor way bridge. From the data he
constructed the table of probabilities shown below.
Use the table to calculate the probability that a car
passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15
?
0.1
0.38
1 - (0.2 + 0.17 + 0.15 + 0.1)
Remember: For mutually exclusive
events the total of all probabilities is 1.
Back to board
Christmas raffle tickets are sold to students in a
school as shown in the table below.
(a) What is the probability that the winning ticket will
be green?
(b) What is the probability that the winning ticket will
show the number 13?
Back to board
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
Answer
Christmas raffle tickets are sold to students in a
school as shown in the table below.
(a) What is the probability that the winning ticket will
be green?
(b) What is the probability that the winning ticket will
show the number 13?
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
(a) 75/240
Back to board
Explain?
(b) 3/240
Christmas raffle tickets are sold to students in a
school as shown in the table below.
(a) What is the probability that the winning ticket will
be green?
(b) What is the probability that the winning ticket will
show the number 13?
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
(a) 75/240
(b) 3/240
(a) 75 tickets are green out of a total of 240.
(b) There are 3 tickets numbered 13
out of a total of 240.
Back to board
The cumulative frequency curve gives information on
aircraft arriving late at an airport. Use the curve to find
the number of aircraft arriving less than 45 minutes late.
Cumulative Frequency
60
50
40
30
20
10
0
Back to board
10
20
30 40 50
Minutes late
60
Answer
The cumulative frequency curve gives information on
aircraft arriving late at an airport. Use the curve to find
the number of aircraft arriving less than 45 minutes late.
Cumulative Frequency
60
50
40
30
20
10
0
Back to board
10
20
30 40 50
Minutes late
Explain?
60
52
The cumulative frequency curve gives information on
aircraft arriving late at an airport. Use the curve to find
the number of aircraft arriving less than 45 minutes late.
Cumulative Frequency
60
50
40
30
20
10
0
Back to board
10
20
30 40 50
Minutes late
60
52