f2-regular-tes_ch-1-2-8

f2-regular-tes_ch-1-2-8 - (70 marks 7 If the sum of the...

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F.2 MATHEMATICS REGULAR TEST Total score: 100 Time allowed: 35 minutes Name: _______________________ F.2____ ( ) 2009-02-06 Part A: Multiple Choice (5 marks each) Write your answers in the boxes provided. 1. Which of the following is a solution of 1 18 4 - x x – 11? A. - 8 B. - 1 C. 1 D. 8 2. If a > b , which of the following MUST be true? I. ca > cb II. b a 1 1 < III. a 2 > b 2 A. I B. II C. III D. none 3. Peter’s present age is greater than two times his age fifteen years ago. What is his possible present age? A. 29 B. 30 C. 31 D. 32 4. In the figure, a + b + c + d = A. 180 °. B. 270 °. C. 360 °. D. 540 °. 5. In the figure, DA = DB and CD = CB . If DC // AB and BCD = 40 ° , ADB = A. 30 ° B. 40 ° C. 70 ° D. 110 ° 6. In the figure, BAC = BCD , CD = 4 cm , BC = 6 cm and AD is 3 times as long as BD . Find the length of AD . A. 3 cm B. 4 cm C. 9 cm D. 12 cm 1. 2. 3. 4. 5. 6. 40 ° C B A D A C D B 4 cm 6 cm T3-04-40
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Part B: Short Questions
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Unformatted text preview: (70 marks) 7. If the sum of the exterior angles of a regular n-sided polygon is half the sum of its interior angles, find (a) the value of n , (b) the size of each exterior angle. (15 marks) 8. With reference to the following figure, prove that AB // DE . (16 marks) 9. (a) Solve 6 5 2 3 1 4 2-≤--x x and represent the solution graphically. (b) Suppose x > -3 and y = 2 x--5, find the range of values of y . (17 marks) 10. Refer to the figure below. Given that BF cuts EC at G , FG = 2 cm, CB = 6 cm. Given further that FD // GE and FD : GE = 3 : 2. (a) Prove that △ BFD ~ △ BGE and FB = CB . (b) If AD = FD , prove that ∠ DFB = ∠ EBC . (22 marks) END OF PAPER...
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This note was uploaded on 10/17/2011 for the course IELM 3010 taught by Professor Fugee during the Winter '11 term at HKUST.

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f2-regular-tes_ch-1-2-8 - (70 marks 7 If the sum of the...

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