Mathematics 30 June 1999 Grade 12 Diploma Exam

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34. For a certain college program, a student must take an English course. The student must also take any 4 of the following courses: Mathematics, Chemistry, Physics, Psychology, Biology, and French. The number of possible 5-course programs that a student could take to complete this program is A. 6 C 4 B. 7 C 5 C. 6 P 4 D. 7 P 5 35. If n P r = 3 024 and n C r = 126, then the value of r is A. 4 B. 6 C. 9 D. 24 36. A university student is doing research on birth order and gender in families with 2, 3, and 4 children. Each family is designated by a code, which is assigned based on the number of children, their birth order, and their sex. For example, the code MFM is given to families with 3 children where the first- and last-born children are male and the middle child is female. If the student needs a code for families with 2 children, 3 children, and 4 children, then what is the maximum number of possible codes? A. 12 codes B. 16 codes C. 24 codes D. 28 codes 22
37. In the expansion of (x + 2y) 8 , the numerical coefficient of the term containing x 4 y 4 is A. 70 B. 140 C. 560 D. 1 120 Numerical Response 7. An airline company requires flight attendants to wear a pair of slacks, a shirt, a tie, and a blazer. The flight attendants have a choice of 3 different pairs of slacks, 5 different shirts, 4 different ties, and 2 different blazers. The maximum number of different outfits that a flight attendant could create using the items provided is __________ outfits. (Record your answer in the numerical-response section on the answer sheet.) Numerical Response 8. The difference between the number of arrangements using all of the letters in FACTOR and the number of arrangements using all of the letters in DIVIDE is __________. (Record your answer in the numerical-response section on the answer sheet.) 23
Page 1 and 2: athematics 30 Mathematics 30 Mathem
Page 3 and 4: Multiple Choice • Decide which of
Page 5 and 6: 1. The function f (x) = x 3 - 6 is
Page 7 and 8: Use the following information to an
Page 9 and 10: Numerical Response 1. The polynomia
Page 11 and 12: 13. If (π, -6) satisfies the equat
Page 13 and 14: 14. Given that log b 64 = 3 , the v
Page 17 and 18: Numerical Response 4. An exponentia
Page 21 and 22: 25. The foci of a hyperbola are F 1
Page 25: 32. If the sum of the first n terms
Page 31 and 32: • Write an expression for t n as
Page 33 and 34: • Assume that it becomes necessar
Page 35 and 36: • Identify the error that was mad
Page 37 and 38: Fold and tear along perforation. 0
Page 39 and 40: No marks will be given for work don
Page 41 and 42: Mathematics 30 Diploma Examination
Page 43 and 44: SAMPLE ANSWERS TO THE WRITTEN-RESPO
Page 45 and 46: • The store will lose money on th
Page 47 and 48: • Assume that it becomes necessar
Page 49 and 50: A POSSIBLE SOLUTION Student A Stude

Mathematics 30 June 1999 Grade 12 Diploma Exam

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