Sample Math Test Bachelor of Aviation Technology Degree Program (FPR) 1. If F(x)=x2-3x+1, then F(1) is equal to: (a)0 (b)2 (c)-1 (d)-3 2. The intersection of the lines x+y=6 and -3x+y=2 is the point: (a)(1,5) (b)(2,3) (c)(5,1) (d) (-1, 0) 3. Cornelius scored an average of 20.2 points per game in the first 10 basketball games he played and 22.3 points per game in the next 5. What is his average points per game for the 15 games he played? (a)20.3 (b)12.4 (c) 22.1 (d)20.9 4. Which of the following expressions is always the same as A/0.01? (a)A (b)A/100 (c)10A (d)100A 5. If you have q quarters and (10-q) dimes, then the total amount of money (in cents) that you have is: (a)25q+10q (b)25q+10(10-q) (c)(10-q)q+25q (d)q+(10-q) 6. A parabola with vertex (0,1) containing the point (2, 13) is given by the equation: (a)y=(x-1)2+4 (b)y=2x2-2 (c)y=3x2+1 (d) y=3(x+1)2 FPR Mathematics Practice Test Page 1 7. Approximately what percentage of the area of the square is contained within the inscribed circle? (a) 78% (b)70% (c)62% (d)68% 8. If the two spinners shown above are spun, what is the probability that the sum of the numbers showing will be 7? (a)1/7 (b)3/7 (c)1/12 (d)1/6 FPR Mathematics Practice Test Page 2 9. Simplify the expression (2a+2b)2+(2a-2b)2. (a)4ab (b)4b2 (c)16ab (d)16a2 10. A traveler walks 400 m south, 200 m west, and then 100 m north. If she now walks back to her starting point in a straight line, the total distance she has walked will be about: (a) 1100 m (b) 1016 m (c) 902 m (d) 1124 m 11. Which of the following equations represents a parabola in the xy-plane with vertex (2,4) opening down ward? (a)y=(x+2)2+4 (b)y=2(x-1)2-4 (c) y= -(x-1)2+2 (d) y= -(x-2)2+4 12. A box contains 3 green balls and 4 red balls. If two balls are drawn at random, one after the other, without replacement, what is the probability that they are both green? (a)1/2 (b)1/7 (c)3/7 (d)1/12 13. If the graph of y=mx+b passes through the points (1,2) and (2, 8), then the value of m is: (a)6 (b)-6 (c)2 (d)-1 14. Consider the following list of numbers. If the range is 25 and the median is 15, then the missing numbers are: 10 11 ? 16 20 ? (a) (b) (c) (d) 14 and 35. 14 and 25. 8 and 35. 12 and 30. FPR Mathematics Practice Test Page 3 15. Which of the following equations solves the formula N= (3x-y)/2 for y? (a)y=2x-2N (b)y=3x+N/2 (c)y=3x-2N (d)y=(3x-N)/2 16. In the diagram above, AC is parallel to DE, DE = 10, AD = 2, and DB = 4. What is the length of AC? (a)7.5 (b)16 (c)15 (d)15.5 17. The area of a rectangle is 120 cm2. If the area is decreased by 50%, the dimensions of the new rectangle could be: (a) 8 cm by 5 cm (b) 5 cm by 10 cm (c) 5 cm by 12 cm (d) 9 cm by 10 cm 18. In the system: 3a+2b=19 a+b=8 The value of a is: (a)5 (b)3 (c)2 (d)4 FPR Mathematics Practice Test Page 4 19. In the diagram above, the transformation of ABC that produced the image A’B’C’ could be a (a) Horizontal shift left 3 and a vertical shift up 5. (b) Horizontal shift right 5 and a vertical shift down 3. (c) Horizontal shift left 4 and a vertical shift up 2. (d) Horizontal shift left 5 and a vertical shift up 3. 20. Simplify 4p/7+q/3. (a)12ab/21 (b)(4p+q)/10 (c)(4p+q)/21 (d)(12p+7q)/21 21. Simplify 4x-2(3x-5x). (a)8x (b)-14x (c)-7x (d)3x FPR Mathematics Practice Test Page 5 22. If you know that (2x-5)(x+4)=0, then the value of x is (a)3.5 (b) -4 or -2.5 (c) -4 or 2.5 (d) 4 or 1.5 23. Which of the following equations corresponds to the statement, “The cube of a number is 3 less than its square”? (a)n3=3-n2 (b)n3=n2-3 (c)n2=n3-3 (d) n3=n2+3 24. Which of the following transformations could have brought ABC to A’B’C’ in the diagram above? (a) Left shift by 4 units and clockwise rotation of 90 degrees. (b) Reflection in the line y=x and a vertical shift by 2 units. (c) Right shift by 4 units and a counterclockwise rotation of 180 degrees. (d) Left shift by 3 units and a clockwise rotation of 180 degrees. FPR Mathematics Practice Test Page 6 25. Study the following graph which is found in the annual report of a company. In the graph above, the increase in revenue from 2003 to 2006 was approximately (a)33% (b)20% (c)50% (d)40% 26. Which of the following equations represents an ellipse in the xy-plane? (a)x2+y2= -1 (b)y=10-2x2 (c)5x2+4y2=20 (d)3x2-4y2= -12 27. If f(x)=(x2-1)/x , then the value of f(1/4) is (a)14/3 (b)2 (c)-1/16 (d)-15/4 FPR Mathematics Practice Test Page 7 28. Consider the following set of numbers: 263 240 218 200 150 175 192 The mean (average) of this list of numbers is approximately: (a)210 (b)220 (c)206 (d)190 29. A triangle ABC has angle C at 90 degrees. If the Length of AB is 10 and the length of BC is 7, then approximately what value is the angle B, in degrees? (a)46 (b)55 (c)39 (d)34 FPR Mathematics Practice Test Page 8 30. In the above equilateral triangle, you are given that a=2√3. What is the area of the triangle? (a)3√3 (b)2-√3 (c)(3√3)/4 (d)6√3 FPR Mathematics Practice Test Page 9

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