Verso l Università Test di matematica e logica TEST IMAT PER ACCEDERE AI CORSI UNIVERSITARI IN INGLESE 1. Evaluate ________________________ 4 2 8 11 3 (9 10 ) 10 + 1.2 10 _______________________ 5. The diagram shows two concentric circles both with centre O. 10 1 9.8 10 2 40 000 400 8000 10 000 100 000 A. B. C. D. E. 2. Find the area enclosed by the three lines y=0 y = 2x 4 y = 11 x A. B. C. D. E. 27 3 22,5 37, 5 39 O (diagram not to scale) The angle of the shaded sector is °. The radius of the larger circle is 50% greater than the radius of the smaller circle. The total area of the smaller circle is 36 cm2. The area of the 27 shaded sector is ___ cm2. 8 What is the value of ? A. 3. Which of the following is a simplification of B. 3 x + 8x 3 2 x 9x 18 ___________ ____________ C. A. D. 2 2 D. x2 6x _2_ 1 x 1 2 __ x _4_ 2 x 4 x E. _4_ 1 B. C. x2 + 3x x 4. The mean of five non-zero positive integers is 20. The median is 24. What is the maximum possible value for the largest number? A. 50 48 B. 49 C. 73 D. 78 E. ° E. 7 16 __ 8 1 22__ 2 15 7 8 ___ 16 30 6. ln a survey of cats eating habits, 10% of the cats tested showed a clear preference for Moggiemeat, 20% preferred Fuss-a-Puss and 40% preferred Yummy Paws. An additional 6 cats did not seem to care at all which of the three foods they ate, while the remaining 27 cats in the survey would not touch any of these foods. How many cats were involved in the survey? 33 A. B. 63 C. 90 D. 103 E. 110 87