Year 7 Maths Challenge 2004

Scorecards ? 5.9 ? 5.3 5.8 5.9 5.1 5.4 U.K. Russian judge judge U.S. French 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 re-build it? (8 marks) 3α + 6β 2β - 3α 2β 8β -3α 3α + 4β

Medals 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)

T’ Lancs Family Th’ urdles Lancs ‘Our’ Cherrie Lancs Skip Lancs Ajump Lancs Hop Lancs

1 Depart: 09:56 Arrive: 13:38 2 Adult price £275 Child price £184 3 4.2kg 4 70% 1/5 5 £150 6 5 miles = 8 km 7 2495 8 £1≈1.5 euros 9 10m/s 14.35seconds 100m 10 From Athens to Sydney (1 mark) (2 marks) (2 marks) (1 mark) (3 marks) (2 marks) (3 marks) (1 mark) (3 marks) (2 marks)

Flag it up Identify the flag from the clues below There are no decagons on this flag This flag has more than one pair of parallel lines This flag does not contain a parallelogram This flag contains only one reflex angle 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. Calculate accurately the proportion of yellow on the flag of the Bahamas. (4 marks) (8 marks) St Kitts & Nevis The Bahamas Trinidad and Tobego Jamaica

Field events (8 marks) Joy, Ram, Pat, and Eve each enter a different field event for a different nation. 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? Name Event Country Joy Ram Pat Eve (8 marks)

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!

Scale : 1cm on the scale drawing represents 0.1m on the actual podium 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

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)

Scale : 1cm on the scale drawing represents 0.1m on the actual podium. 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. B: The number of miles in 2 ½ marathons. C: The length in metres of 4 Olympic swimming pools. D: The number of events in 3 heptathlons.