LASCO MATHS CHALLENGE 2014 Quiz 5 © F Schlindwein MMXIV 1 Alana sells bracelets every day in the centre of Cochabamba. She sells a mean of 12 bracelets a day for the first six days of the week. On the seventh day her mean number for every day of the week drops to eleven. How many did she sell on the seventh day? 2 Alejandro gets paid 3 pesos for each car he washes and 5 pesos for each van he washes. If he earns 48 pesos in total and he washes more vans than cars, how many cars did he wash? © F Schlindwein MMXIV 3 Benicio and Juan play with three dice on the street Suggest three numbers you could roll on the dice which would give the same score if you added or multiplied the three numbers. 4 Jorge fishes for a living on Lake Titicaca. He gives two ninths of this catch to his mother at the lakeside and then three eighths of what he has left to his brother Juan at Puno Train Station. He then freezes 70% of what he has left. If this leaves him with 21 fish to sell, how many did he catch? 5 Use the periodic table to crack the code. Work out the name of the city. Your answer will be the name of the country that contains this city. 33 92 7 6 53 8 7 © F Schlindwein MMXIV 6 Use the map of South America to answer the question below Map question X = number of countries smaller than Paraguay Y = number of countries that border Brazil, but not Peru. P = number of countries that have only 2 vowels in their name. Q = number of countries that do not touch the sea. R = number of countries whose capital city has a population of more than 1 million Work out the value of (PR + X + Y) 1/Q © F Schlindwein MMXIV 7 Bernardino builds a pen for his pet vicuna. He keeps his pet alpaca tethered to a rope outside the pen at point A. If the rope is 4m long, what area of ground can be covered by both the alpaca and the vicuna? Country Argentina Bolivia Brazil Chile Colombia Ecuador French Guiana Guyana Paraguay Peru Suriname Uruguay Venezuela Area in km2 2,766,890 1,098,580 8,514,877 756,950 1,138,910 283,560 91,000 214,999 406,750 1,285,220 163,270 176,220 916,445 Population 40,482,000 9,863,000 191,241,714 16,928,873 45,928,970 14,573,101 221,500 772,298 6,831,306 29,132,013 472,000 3,477,780 26,814,843 8 Multiply the number of countries with an area of 1 million km2 (if measured to the nearest million) by the number of countries with a population of 10 million (if measured to the nearest 10 million)? See optional bonus task. © F Schlindwein MMXIV
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