A set of multiple choice maths questions are presented. The answers are provided and are located at the lower part of the page. The questions have been designed to test for deep understanding of maths concepts. Detailed explanations and solutions to these questions are also provided.

## Questions 1If Log_{x} (1 / 8) = - 3 / 2, then x is equal to
A. - 4 B. 4 C. 1 / 4 D. 10
## Questions 220 % of 2 is equal toA. 20 B. 4 C. 0.4 D. 0.04
## Questions 3If Log_{ 4} (x) = 12, then log_{ 2} (x / 4) is equal to
A. 11 B. 48 C. -12 D. 22
## Questions 4The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have beenA. 1 846 000 B. 1 852 000 C. 1 000 000 D. 1 500 000
## Questions 5f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function g defined by g(x) = 2 - f(x - 5) has a range defined by the intervalA. [ -5 , + infinity) B. [ 2 , + infinity) C. ( - infinity , 2] D. ( - infinity , 0]
## Questions 6f is a function such that f(x) < 0. The graph of the new function g defined by g(x) = | f(x) | is a reflection of the graph of fA. on the y axis B. on the x axis C. on the line y = x D. on the line y = - x
## Questions 7If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given byA. A = a - 3, B = b B. A = a - 3, B = b C. A = a + 3, B = -2 b D. A = a + 3, B = -2 b +3
## Questions 8When a parabola represented by the equation y - 2x^{ 2} = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
A. (-5 , -1) B. (-5 , -5) C. (-1 , -3) D. (-2 , -3)
## Questions 9The graphs of the two linear equations a x + b y = c and b x - a y = c, where a, b and c are all not equal to zero,A. are parallel B. intersect at one point C. intersect at two points D. perpendicular
## Questions 10The graphs of the two equations y = a x^{ 2} + b x + c and y = A x^{ 2} + B x + C, such that a and A have different signs and that the quantities b^{ 2} - 4 a c and B^{ 2} - 4 A C are both negative,
A. intersect at two points B. intersect at one point C. do not intersect D. none of the above
## Questions 11For x greater than or equal to zero and less than or equal to 2 π, sin x and cos x are both decreasing on the intervalsA. (0 , π/2) B. (π/2 , π) C. (π , 3 π / 2) D. (3 π / 2 , 2 π)
## Questions 12The three solutions of the equation f(x) = 0 are -2, 0, and 3. Therefore, the three solutions of the equation f(x - 2) = 0 areA. - 4, -2, and 1 B. -2, 0 and 3 C. 4, 2, and 5 D. 0, 2 and 5
## Questions 13The three solutions of the equation f(x) = 0 are - 4, 8, and 11. Therefore, the three solutions of the equation f(2 x) = 0 areA. - 2, 4, and 11/2 B. - 8, 16 and 22 C. - 4, 8, and 11 D. 2, 19 / 2 and 7 / 2
## Questions 14A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students isA. 10 B. 15 C. 2100 D. 8
## Questions 15Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged isA. 5! B. 3! C. 2! D. 3! * 2!
## Questions 16The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation becomeA. mean = 15 , standard deviation = 6 B. mean = 10 , standard deviation = 6 C. mean = 15 , standard deviation = 1 D. mean = 10 , standard deviation = 1
## Questions 17The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?A. 394 B. 250 C. 400 D. 106
## Questions 18If f(x) is an odd function, then | f(x) | isA. an odd function B. an even function C. neither odd nor even D. even and odd
## Questions 19The period of | sin (3x) | isA. 2 π B. 2 π / 3 C. π / 3 D. 3 π
## Questions 20When a metallic ball bearing is placed inside a cylindrical container, of radius 2 cm, the height of the water, inside the container, increases by 0.6 cm. The radius, to the nearest tenth of a centimeter, of the ball bearing isA. 1 cm B. 1.2 cm C. 2 cm D. 0.6 cm
## Questions 21The period of 2 sin x cos x isA. 4 π ^{ 2}B. 2 π C. 4 π D. π
## Questions 22The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bought, then the probability, to the nearest thousandth, that 7 devices function properly isA. 0.057 B. 0.478 C. 0.001 D. 0
## Answers to the above questions1b, 2c, 3d, 4a, 5c, 6b, 7d, 8a, 9d, 10c11b, 12d, 13a, 14c, 15b, 16c, 17d, 18b, 19c, 20b 21d, 22a. ## More References and links on maths questions and problemsmaths questions and problems with detailed solutions . |