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YEAR 9 NUMERACY – SET 5 1 T:\years357\Tests\0\Test Prep\9N_Prep\0 sets\9N_prep 2010_set 5.fm Use a calculator to help answer these questions. Name ........................................................... ......... Date ........................... 1 A quadrilateral has two equal angles that are obtuse. One of the other angles is 50°. Which of these statements is definitely true about the fourth angle? It is obtuse. It is less than 130°. It is more than 130°. It is either acute or right. 2 The diagram shows a 400-metre running track. To find the radius of the semicircular ends of a track like this, you use the formula where r is the radius and d is the length of the straights as marked in the diagram. If the straights are each 75 m long, the radius is closest to 3 Which of these four countries has the highest population density (in pe\ ople per km 2)? d r200 d –  ------------------- = 16 m. 40 m.152 m. 176 m. Country Area (km ) 2 Population Costa Rica 51 100 4 016 200 Egypt 1 001 450 77 505 800 Greece 131 940 10 668 400 Spain 504 782 40 341 500 Costa Rica EgyptGreece Spain

YEAR 9 NUMERACY – SET 5 2 T:\years357\Tests\0\Test Prep\9N_Prep\0 sets\9N_prep 2010_set 5.fm 4 A bookshop has a sale. A book normally costing $39.95 is priced at $23.97. By what percentage has the price been reduced? 5 When k = 3 and p = –1 what is the value of ? 6 The win : loss ratio of an AFL team after playing 15 games was 2 : 3. The team then won four of the last seven games of the season. What was the team’s win : loss ratio at the end of the season? 7 What is the area of this block of land? 8 Which one of the following composite numbers has no prime factors less than 20? 16% 40%60% 67% 2 k 2 3+ 52 p – ------------------ - 3 5713 : m 2 35 m 19 m 37 m 31 m 25 781 25 78325 787 25 789