FMSP Year 10 Maths Feast 2016 Starter - True or False (24 marks)

Transcription

1 FMSP Year 10 Maths Feast 2016 Starter - True or False (2 marks) Total Score For each question, read the information provided carefully. Estimation of the answer is sometimes sufficient for determining whether an answer is more or less than a particular value. For each statement determine if it is true or false and ring your answer. 1. Three daughters were told that they would inherit 77,777. To receive their share the girls were told they needed to work out how much each would receive. Stella was to receive for every 3 received by Robyn, and Tina was to receive 7 for every 6 that Stella received. A: Tina received more than Stella B: Robyn received more than 18,000 C: Stella received less than 30,000 D: Tina received more than 30,000

2 2. (images courtesy of Nicholas Air) 19ft 7 in (6m) 16ft 9 in (5.10m) 51ft in (15.6m) 52ft 2 in (15.91m) What is a Phenom 300? Light jet aircraft made by Brazilian manufacturer Embraer Standard models of the plane can hold eight occupants, including the pilot and co-pilot in the cockpit Can reach 53 knots on high-speed cruise mode [1 knot = 1 nautical mile per hour] Has a maximum altitude of 5,000ft A: The aircraft has one plane of symmetry B: A 1:5 scale model of the plane has a wingspan of 10 feet 5 inches (to the nearest inch) C: The aircraft can fly at an altitude of metres D: The aircraft can fly the 186 nautical miles from London to Paris in 20 minutes

3 3. A football is constructed from regular pentagons and regular hexagons. There are 12 pentagons. A: The football requires 18 regular hexagons B: The percentage area of the football coloured black is less than 37.5% C: There are a total number of 90 edges D: The circumference of the ball is more than ten times greater than the length of the side of a pentagon

4 . Some fact about the new Wembley Stadium The famous twin towers have made way for an iconic arch over the stadium, which has been totally rebuilt and is now one of the most modern and breathtaking arenas in the world The new Wembley reopened its doors in 2007 The pitch dimensions are 105 m by 68 m The most striking, highly visible feature of the stadium is 133 metre tall arch that sits above the north stand With a span of 315 metres, the arch is the longest single span roof structure in the world and is visible right across London The stadium has a circumference of 1 km The stadium has 90,000 seats with NO obstructed views The seats are spread over three tiers: lower 3,303, middle 16,532 and upper 39,165 A: If all the seats were placed next to each other in a line, they would stretch no more than 0 km B: The length of the arch is less than 00 m C: If I buy a ticket at random, the probability that I sit in the middle tier is less than 0.2 D: A 1:20 scale model of Wembley stadium would have a pitch area of m 2

5 5. According to legend Euclid was the author of the following puzzle: A mule and a donkey were carrying a load of sacks. The donkey groaned, so the mule said to him: Why are you complaining? If you gave me one sack, I would have twice as many as you; and if I gave you one of my sacks, then we would have equal loads. A: The donkey carried more sacks than the mule B: The mule carried 2 sacks more than the donkey C: The donkey and the mule carried 12 sacks altogether D: The mule carried less than sacks

6 6. Five children found a method of weighing themselves on an automatic weighing machine with just one coin. Two of them got on the scale at the same time and then one child changed places with another until all the ten possible pairs had been weighed. The weights, in kg, were as follows: 57, 58, 59, 59, 60, 61, 67, 68, 69 and 70 A: Total weight of the five children is 157 kg B: The lightest child weighs 25 kg C: The heaviest child weighs 0 kg D: No two children have the same weight