Gen. Math
Algebra
Geometry
Probability
Trigonometry
100
An equation used to describe real-life relationships be-tween two quantities.
a) Arithmetic b) Fraction c) Function d) Set
c) Function
A function is an equation that describes a relationship between two quantities, where each input (or independent variable) corresponds to exactly one output (or dependent variable). Functions are commonly used to model real-life relationships.
100
Add 8x to 2x and then subtract 5 from the sum. If x is a positive integer, the result must be an integer multiple of?
a) 2 b) 5 c) 8 d) 10
b) 5
100
A point at (2, 5) in the standard (x, y) coordinate plane is shifted down 2 units and left 7 units. What are the new coordinates of the point?
a) (-5, 3) b) (-2, 2) c) (0, -2) d) (4, 12)
a) (-5, 3)
100
If two regular six-sided dice are rolled at the same time, what is the probability that the sum of the their numbers will be prime?
a) 7/18 b) 5/12 c) 1/2 d) 1/4
b) 5/12
100
What is the value of Θ in the right triangle above? Round to the nearest hundredth of a degree.
a) 26.57 b) 36.87 c) 53.13 d) 59.04
d) 59.04
200
Which of the following numbers gives 240 when added to its own square?
a) 15 b) 16 c) 18
d) 20
a) 15
When the number 15 is added to its own square, it gives 240:
15 + 15^2 = 15 + 225 = 240
200
When x=3 and y=5, by how much does the value of 3x2-2y exceed the value of 2x2-3y?
a) 4 b) 14 c) 16 d) 20
b) 14
200
The figure on the board is a quadrilateral CDEF. What is the measure of <D?
a) 95 degrees b) 105 degrees c) 115 degrees
d) 135 degrees
c) 115 degrees
200
Maria is planning the seating for the head table at a college gala. There are eight speakers that will be seated along one side of the table. Richard wants to sit beside Hang, and Maria knows that Thomas and Lily should not be seated together. In how many ways can Maria make up the seating plan?
a) 2880 b) 3975 c) 7200 d) 8100
Correct answer: 7200
200
What’s tangent of C in the given right triangle?
a) AB/AC b) AB/BC c) AC/BC d) CB/AC
b) AB/BC
300
Which of the following is not a function?
a) f={(1,2),(2,4),(3,6),(4,8),(5,10)} b) h={(1,1),(1,2),(2,3),(2,4),(3,4)} c) g={(−1,3),(0,1),(2,5),(4,8),(8,8)} d) k={(−2,2),(−1,3),(0,4),(1,5),(2,6)}
b) h={(1,1),(1,2),(2,3),(2,4),(3,4)}
300
What is the value of x when 2x+3=3x-4?
a) -7 b) -1/5 c) 1/5 d) 7
d) 7
300
A farmer’s rectangular field is 600 ft by 80 ft and is all grazing land for a cow. The farmer decides to build a circular pig sty with a radius of 8ft in the field. How much land in square feet is left for grazing?
a) 2800+8(pi) b) 48000-64(pi) c) 60000-100(pi) d) 48000
b) 48000 -64(pi)
300
{10, 12, 24, 50, 60, 100, 260, 480, 606, 1000}
What is the probability that a number selected randomly from the set will be divisible by both 4 and 6?
a) 3/10 b) 1/10 c) 2/5 d) 3/5
c) 2/5
300
Consider a right triangle with an inner angle x(x<90degrees). If
cosx=3/5 and Sinx=4/5 what is tanx?
a) 1/5 b) 3/4 c) 4/3 d) 5
c) 4/3
400
x=-2 and x=4 are two solutions to which of the following quadratic equations?
a) (x-4)(x-2)=0 b) (x-4)(x+2)=0 c) (x+4)(x-2)=0
d) (x+4)(x+2)=0 e) (x+4)^2=0
b) (x-4)(x+2)=0
x+2=0 gives you x=-2 and x-4=0 gives you x=4
400
Katrina runs 15 miles in 2.5 hours. What is the average number of minutes it takes her to run 1 mile?
a) 6 b) 10 c) 12.5 d) 17.5
b) 10
400
A circle has a radius of 5. What is the measure of an arc on that circle that is interrupted by a central angle of 144 degrees?
a) 4(pi) b) 4 c) 10(pi) d) 10
a) 4(pi)
400
Jacob was 27 years old when his son Mike was born. Mike was 23 years old when his son Sam was born. Sam will celebrate his seventh birthday in 2014. What year was Jacob born?
a) 1957 b) 1964 c) 1984 d) 1987
a) 1957
400
Triangle ABC is a right triangle. If tangent of angle c is 3/7, what is the length of BC?
a) √21 b)3 c)√58 d)7
d) 7
500
For a certain quadratic equation, the factors are (4x+1) and (3x+4). What are the two solutions to this quadratic equation?
a) -1/4 and -4/3 b) -1/3 and -3/4
c) -1/3 and 3/4 c) 1/3 and -3/4
e) 1/4 and 4/3
a) -1/4 and -4/3
4x+1=0 subtract 1 and you get 4x=-1 divide by 4 and you get x=-1/4
3x+4=0 subtract 4 and you get 3x=-4 divide by 3 and you get x=-4/3
500
The solid rectangular prism with a length of 7 cubes, a height of 6 cubes and a width of 5 cubes, was built by alternating congruent black and white cubes such that 2 cubes with the same color have at most 1 edge touching. What is the total number of white cubes that were used to build this prism?
a) 45 b) 102 c) 105 d) 140
c) 105
500
A triangle has sides with lengths 4x, 5x, and 7x. If x=4, what is the perimeter of the triangle?
a) 14 b) 54 c) 64 d) 128
c) 64
500
What is the probability of choosing two consecutive red cards from a standard deck of cards, if replacement is not allowed?
a) 25/102 b) 23/25 c)51/100 d) 17/25
25/102
500
For the above triangle, o=21 and a=8. Find θ.
a) 22.4 degrees b) 67.6 degrees c) 20.9 degrees d) 69.1 degrees
d) 69.1∘