Transcript Year 7 Maths Challenge 2004

Year 7 Maths Challenge
2004
Scorecards
5.4
5.9
?
U.S.
judge
Each judge gives two scores, the first for artistic
impression ( ), the second for technical merit (
The mean for artistic impression is 5.6
The mean for all eight scores is 5.5
What scores has the French judge awarded?
(7 marks)
)
Podium problem (2)
Remember that the Greek mathematician built the
podiums so that they would only fit together in one
way. The label on each cuboid is formed by adding
the expressions on the cuboids below it.
Someone knocked over the podium when they came
last in the arm-wrestling competition. Can you rebuild it?
(8 marks)
2β - 3α
C
Medals
Number of medals won
16
14
You have 8 charts
showing the
number of medals
won by different
countries. Can you
match up the
charts that show
the same
information?
(8 marks)
Frequency
12
10
8
6
4
2
0
Australia
USA
Russia
China
France
Country
L
Number of medals won
Australia
USA
Russia
China
France
M
I
Number of medals won
Number of medals won
Australia
USA
Russia
Russia
USA
China
China
France
France
Y
L
Number of medals won
Number of medals won
Australia
Australia
USA
USA
Russia
Russia
China
China
France
France
T’ Lancs Family
Th’ urdles Lancs
‘Our’ Cherrie Lancs
Hop Lancs
Skip Lancs
Ajump Lancs
1
Depart: 09:56
Arrive: 13:38
2
Adult price £275
3
4.2kg
(2 marks)
4
70% 1/5
(1 mark)
5
£150
(3 marks)
6
5 miles = 8 km
(2 marks)
7
2495
(3 marks)
8
£1≈1.5 euros
(1 mark)
9
10m/s 14.35seconds
10
From Athens to Sydney
Child price £184
100m
(1 mark)
(2 marks)
(3 marks)
(2 marks)
Flag it up
Identify the flag from the clues below
1. There are no decagons on this flag
2. This flag has more than one pair of
parallel lines
3. This flag does not contain a parallelogram
4. This flag contains only one reflex angle
5. This flag contains two congruent
trapeziums
(4 marks)
St Kitts & Nevis
The Bahamas
Trinidad and Tobego
Jamaica
Flag it up
Estimate the proportion of yellow on the
selected flag.
(4 marks)
Calculate accurately the proportion of yellow
on the flag of the Bahamas.
(8 marks)
St Kitts & Nevis
The Bahamas
Trinidad and Tobego
Jamaica
Field events
Joy, Ram, Pat, and Eve each enter a
different field event for a different
nation.
Name
Joy
Eve’s event is the hammer. She is not
from the USA.
Joy is from the UK. Her event is not
the discus.
The javelin thrower is French, and is
not Pat.
Who enters which event, for which
nation?
(8 marks)
Ram
Pat
Eve
Event
Country
Plans and views
Photograph 1 shows
(nearly!) a plan view
of the Peace &
Friendship stadium
Photograph 2 shows
a side view of the
Peace & Friendship
stadium.
Plans and views
You are a Consulting Company, and have been asked by the Olympic
Committee to submit proposals to win a contract to build the podium in
the Olympic pool.
There have been several problems fitting the awards podium at the side
of the pool.
The only place available, is in a corner.
However, space is limited. There is also
a problem with height restriction due to
the low roof in this space. The committee
want you to draw accurate plan and side
views, so they can check that the floor
space and height clearance are adequate
to meet risk assessments.
The best proposal wins the business prize
from sponsor’s!
Plans and views
The total height of
the podium is 0.75m
Each block of the
podium has a
square base with
side 0.5m
0.75m
0.5m
Scale : 1cm on the scale drawing
represents 0.1m on the actual podium
Plans and
views
Side
Front
Scale : 1cm on the scale drawing represents 0.1m on the actual podium.
On your answer sheet draw accurate, labelled, scale drawings of
the plan view and the side view of the podium
(10 marks)
Plans and
views
Scale : 1cm on the scale drawing represents 0.1m on the actual podium.
The tallest swimmer in the Olympics is 198cm tall. The height of
the ceiling in the pool hall is 2 740mm. Is the ceiling high
enough?
(2 marks)
Fastest finger first…..
Put the numbers involved in each of these
statements in ascending order:
A: The number of
metres in a 4 x 100m
relay race.
C: The length in
metres of 4 Olympic
swimming pools.
B: The number of
miles in 2 ½
marathons.
D: The number of
events in 3
heptathlons.