Mathematics MCQs
Mathematics MCQs
These Mathematics multiple-choice questions and their answers will help you strengthen your grip on the subject of Mathematics. You can prepare for an upcoming exam or job interview with these Mathematics MCQs.
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1: 9+9+2+5
A. 11
B. 7
C. 24
D. 21
E. 25
2: Solve for x: x + 7/3 = 5
A. x = 8/3
B. x = -8/3
C. x = 11/3
D. x = -11/3
3: Which of the following describes the Real Numbers?
A. The intersection of the complex numbers and the rational numbers.
B. The intersection of the complex numbers and the natural numbers.
C. The union of the integers and the irrational numbers.
D. The union of the natural numbers and the set of negative integers.
E. The union of the rational numbers and the irrational numbers.
4: Solve x for: x^2+4x+4 = 0
A. x=-1
B. x=3
C. x= -2
D. x=2
E. x=1
5: If a cube has side length 's' where s = 8, what is the volume of the cube ?
A. 512
B. 125
C. 4096
D. 310
E. 625
6: Solve for x: x-2x+1=0
A. x=-1
B. x=1
C. x=2
D. x=-2
7: What is true about an acute angle?
A. Measures between 90 and 180 degrees
B. Measures less than 90 degrees
C. Measures greater than 180 degrees
D. Measures exactly 90 degrees
E. Measures exactly 180 degrees
8: 3^4 =
A. 81
B. 27
C. 3
D. 9
E. 243
9: Solve for x: (x-2)(x+3)=0
A. x=2 or x=-3
B. x=2 or x=3
C. x=-2 or x=3
D. x=-2 or x=-3
10: Solve for x: x^3=-1
A. x=-1
B. x=1
C. x=2
D. x=-2
11: What is the average of 1, 2, 3, 4,5?
A. 3
B. 5
C. 2
D. 4
E. 1
12: x^2 - 4=?
A. (x-2)(x+2)
B. (x-3)(x-2)
C. (x-1)(x+2)
D. (x-1)(x-2)
13: Solve for n: 4+2n=t
A. n=(t-2)/4
B. n=(t+2)/4
C. n=(t-4)/2
D. n=(t+4)/2
14: What is the elapsed time between 9:15 AM and 9:30 PM
A. 10 hr.
B. 12 hr.
C. 12hr. 10min.
D. 12hr. 15 min.
E. 10hr. 15min.
15: If x+y=y, what is x equal to?
A. -1
B. 0
C. 1
D. y
16: Solve for w: w/2 = 7/9
A. w= 14/9
B. w=1/7
C. w=7/9
D. w=3/5
17: What is the measure of a right angle?
A. 135 degrees
B. 115 degrees
C. 90 degrees
D. 45 degrees
E. 180 degrees
18: What is the sum of degrees in a triangle?
A. 80
B. 90
C. 40
D. 360
E. 180
19: Which of these is equivalent to 4x-8?
A. -2(2x+4)
B. 4(x-2)
C. (2x-2)^3
D. 8-4x
20: Which of the following numbers is largest? -18 -2 -3 -0.5
A. -3
B. -18
C. -2
D. -0.5
21: A cab charges $0.75 per mile. What is the cost of 10 mile trip?
A. $7.00
B. $6.00
C. $7.50
D. $6.50
22: How many degrees are there in a circle?
A. 320
B. 360
C. 300
D. 180
E. 290
23: Simplify: 6x+3y-4x-5y
A. 2x+2y
B. 10x-2y
C. 2x-2y
D. 9x-9y
24: Find the value of x in x/3=6/9
A. 5
B. 6
C. 4
D. 2
25: -2(3x+2y)=?
A. 6x-4y
B. -6x+4y
C. -6x-4y
D. 4x-6y
26: Solve for x and y: (x-2)(y+3)=0
A. x=-2 or y=3
B. x=2 or y=-3
C. x=-3 or y=2
D. x=-2 or y=-3
27: Solve for x: 5x+3=2
A. x=1
B. x=1/5
C. x=5
D. x=-1/5
28: Which number is a prime number ?
A. 33
B. 85
C. 46
D. 17
29: Simplify: x-4y+6x+2y
A. -7x+2y
B. 5x-6y
C. 7x-2y
D. 6x+5y
30: Solve for t: 2+2t=n
A. t=(n-2)/2
B. t=(n+1)/2
C. t=(n+2)/2
D. t=(n-1)/2
31: What is 5% of 65?
A. 6.75
B. 1.25
C. 5
D. 12
E. 3.25
32: Simplify: 24 / 36
A. 3 / 5
B. 1 / 3
C. 1 / 2
D. 2 / 3
E. 3 / 4
33: 2^3+3^2=?
A. 10
B. 12
C. 27
D. 17
34: Which is the correct?
A. a^0=0
B. a^0=1
C. can not calculate.
35: Simplify: x^2 + 6x + 9
A. (x+3)^2
B. (x+2)^2
C. (x-2)^2
D. (x-3)^2
36: Solve for x: 37 - 4x =1
A. x=9
B. x=8.5
C. x=8
D. x=9.5
37: Solve for x: 1/x + 2/x = 1
A. x=4
B. x=2
C. x=3
D. x=1
38: Ln 1 = ??
A. 1/2
B. 1
C. -1
D. 0
39: What number is 30% of 240?
A. 40
B. 62
C. 72
D. 96
40: Solve for x: x+4x+4=0
A. -4/5
B. 2
C. 5/4
D. 4
41: Solve for y: y^3 = 27
A. y=9
B. y=3
C. y=-3
D. y=-9
42: Solve for x: 2x-3>1
A. x < -2
B. x < 2
C. x > -2
D. x > 2
43: What is the next term in this series? {1, 1, 2, 3 , __ }
A. 7
B. 3
C. 5
D. 4
E. 8
44: 9+2*5+5
A. 24
B. 60
C. 80
D. 55
E. 29
45: 4!=?
A. 16
B. 0
C. 4
D. 24
E. 64
46: Which of the following is a sextic equation ?
A. x^16 + 5x = 2
B. x^6 + 3x^3 + 4x^2 = 5
C. x^5 = -1
D. x^3 + 2x = 18
E. x^7 + 8x^4 + 3x = 20
47: What is the next number in the sequence: 2 4 16
A. 32
B. 40
C. 256
D. 20
48: Simplify the Square root of 32.
A. 4*the square root of 2
B. 8*the square root of 2
C. 10*the square root of 7
D. 9*the square root of 5
49: Which of the following represents the base associated with the natural logarithm?
A. e
B. π
C. 4
D. 10
E. 2
50: Find f '(x) of this: x^2 + x^3
A. 2x + 3x^2
B. 2x
C. x +2x
D. 5x
E. x^2 + 3x
51: If two angle measures in a triangle are 83 and 29 what is the measure of the third angle?
A. 68
B. 69
C. 71
D. 60
E. 70
52: The sum of n/2 for values between 1 and n, as n approaches infinity, approaches ___ .
A. pi
B. 2
C. e
D. 1
E. infinity
53: 4 - 5 x 2 + 7 =?
A. -2
B. 2
C. 1
D. -1
54: What is the derivative w.r.t 'x' of the function f(x) = 6sin(3x) ?
A. 18cos(3x)
B. 2cos(3x)
C. 6cos(3x)sin(3x)
D. 6cos(3x)
55: What number is 70% of 370?
A. 337
B. 310
C. 292
D. 216
E. 259
56: What is the discriminant of the quadratic equation y = ax^2 + bx + c ?
A. b^2 - 4ac
B. a^2 - b^2 + c^2
C. -b / 2a
D. -4b^2 - ca
E. 3a^2 - 4bc
57: Which of the following is NOT a valid identity?
A. ln(x^a) = a ln(x)
B. ln(xy) = ln(x) + ln(y)
C. ln(x - y) = ln(x) - ln(y)
D. ln[e^iθ] = ln[cos(θ) + isin(θ)]
58: Factor: x^2-2x-8
A. (x-2)(x-4)
B. (x+2)(x-4)
C. (x+2)(x+4)
D. (x-2)(x+4)
59: Solve for x: x-6x = 3x-56 ?
A. x = -7
B. x = 6
C. x = -6
D. x = 8
E. x = 7
60: If the discriminant of a quadratic equation is zero, what must be true?
A. There is one unique root.
B. The roots are imaginary numbers.
C. The roots are irrational numbers.
D. There are two distinct roots.
61: 2^6-7
A. 55
B. 1/2
C. 1/4
D. 57
62: If 3x=6x-15 then x + 8=
A. 13
B. 12
C. 11
D. 10
E. 5
63: a(n) = a(n - 2) + a(n - 1), a(0) = 1, a(1) = 1 defines which sequence?
A. The Fibonacci Sequence
B. The Triangular Number Sequence
C. The Harmonic Sequence
64: 3^x=81
A. 6
B. 5
C. 2
D. 3
E. 4
65: A triangle has three angles named a,b, and c. Angle a = 23° and Angle b = 68°. What must be true about angle c ?
A. Angle c is acute.
B. Angle c is obtuse.
C. Angle c = 109°.
D. Angle c is a right angle.
66: Find the midpoint of line point A(2,5) and B(-1,7)
A. (-1/2,6)
B. (1/2,-6)
C. None of the answer is correct.
D. (1/2,6)
E. (1/2,0)
67: What is the slope of a line that passes through the points (3, 7) and (-4, 8)?
A. -4/7
B. 2/5
C. 5
D. -1/7
E. -7
68: What is the value of ln(4e), where 'e' is the natural base ?
A. 4e
B. e^4
C. 4ln(e)
D. e + 4
E. ln(4) + 1
69: if sin A=4/5 Then cos A=?
A. 2/5
B. 1/5
C. 1
D. 3/5
70: aX^2+bX+c = 0 , If Answers are X = p , X = q what is the value of p+q
A. p+q = -c/a
B. p+q = -b/a
C. p+q = -a/b
D. p+q = b/a
E. p+q = a/c
71: What is the contrapositive of the statement "If I walked outside, then it will rain." ?
A. If it will rain, then I walked outside.
B. If it does not rain, then I did not walk outside.
C. If I walked outside, then it did not rain.
D. If I did not walk outside, then it will rain.
E. If it does not rain, then I walked outside.
72: If x^2 -3x -4 = 0 then x=?
A. -1 or -4
B. 1 or 4
C. -1 or 4
D. 1 or -4
73: Which of the following are the factors of x^2 - x - 5?
A. (x + 3) and (x + 2)
B. (x - 3) and (x - 2)
C. (x - 3) and (x + 2)
D. (x - 5) and (x - 1)
E. (x + 5) and (x + 1)
74: If x^4 =1 ; then x^5 is ::
A. -1
B. 1
C. x^5 > 0 Always
D. x^5 < 0 Always
E. Can't be determined
75: Evaluate 1+2+3+4+5+...+95+96+97+98+99+100
A. 5050
B. 100100
C. 50050
D. 50500
E. 10100
76: A trapezoid has bases measuring 6cm and 4cm and its height is 3cm. Find its area.
A. 15 square cm
B. 20 square cm
C. 18 square cm
D. 12 square cm
E. 13 square cm
77: Which set of coefficients from Pascal's triangle would you use in the expansion of (a+b)^5 ?
A. 1 5 10 10 5 1
B. 1 7 21 35 35 21 7 1
C. 1 2 1
D. 1 4 6 4 1
E. 1 6 15 20 15 6 1
78: What is a fractal?
A. Another name for a fractional exponent
B. Any geometry that violates the Parallel Postulate
C. An object or quantity that is self-similar on all scales
D. A line segment that splits an angle into two angles of equal measure
79: Consider a right triangle with an adjacent side of 3 meters and the opposite side has a length of 4 meters. Which expression represents cos(θ) for the triangle described above?
A. 3/5
B. 4/3
C. 3/8
D. 4/5
80: What is 400° when converted into radians ?
A. [25/13] π radians
B. [3/2] π radians
C. 3π radians
D. [17/7] π radians
E. [20/9] π radians
81: Which is NOT a perfect cube?
A. 216
B. 225
C. 64
D. 512
E. 1
82: What is the fourth value in the series (90, 80, 70) if an average of 85 is desired?
A. 100
B. 99
C. 90
D. 80
E. 85
83: If the volume of a cube is 27, what is the surface area of the cube?
A. 36
B. 9
C. 54
D. 27
E. 162
84: If a quadratic equation 2x^2+8x+4=0 has two roots a and b, then a+b=?
A. -3
B. -4
C. 3
D. 4
85: What is the equation of the horizontal asymptote of the function: f(x) = 3(x+3)(x-2)/(x+5)(x-1)
A. y = -2
B. y = 1
C. y = 3
D. y = -5
86: Consider a circular sector with angle θ = 45° and radius r = 16 meters. What is the arc length of the circular sector?
A. 8π meters
B. 3π meters
C. π meters
D. 2π meters
E. 4π meters
87: Which is NOT a purpose of Pascal's Triangle?
A. Find the powers of 2.
B. Solve binomial expansion coefficients of (a + b)^N.
C. Find terms of the Fibonacci Sequence.
D. Find the opposite angle of an Isosceles triangle.
88: if the arithmetic, geometric and harmonic means between two positive numbers are A, G and H, then which is correct
A. H^2=AG
B. A^2=GH
C. G^2=AH
D. G=AH
89: What is tan(120°) to the nearest hundredth?
A. 1.25
B. -1.73
C. 1.73
D. -1.50
E. -1.30
90: What is the slope of a line perpendicular to y = (5)(-2x + 1)
A. 0.1
B. 2
C. -0.1
D. 10
E. 0.5
91: ABCD is a parallelogram whose side lengths are 4 and 7. The angular bisectors of interior angles are drawn to intersect one another to form quadrilateral. Let one angle of parallelogram is equal to sixty degrees. Then find the nearest integer to the area of the quadrilateral formed by the angular bisectors.
A. 2
B. 3
C. 4
D. 1
92: What is ∫ cot(x) dx ?
A. ln|sin(x)| + C
B. -csc(x)cot(x) + C
C. ln|csc(x)| + C
D. ln|[sec(x)]^2| + C
E. ln|tan(x)| + C
93: What is the probability of rolling a sum of 5 with two standard six sided dice? (simplest form)
A. 4/9
B. 4/7
C. 6/7
D. 2/5
E. 1/9
94: Find ? (-251*21*-12)/?=158.13
A. 400
B. 150
C. 250
D. 300
Complete the given equation.
sin"(2xV(1-x2) = ?
A.
2 sin'11/x
B.
2 sin'1x
C.
1/sin'12x
D.
1/sin'1x
96: What is the value of a and b, if we have [a/3 + 2, b — 4/3] = [10/3, 2/3]?
A. a: 4. b =1
B. a: 4, b = 2
C. a= 3. b = 2
D. a= 3. b =1
97: What is the value of dy/dx, ifx = pa2 and y = 2pa?
A. 1/a2
B. a2/3
C. 1/a
D. a
A.
i)
B.
ii)
C.
iii)
D.
iv)
A.
i)
B.
ii)
C.
iii)
D.
iv)
100: Which of the following statements correctly defines collinear vectors?
A. It is a set of two or more vectors that have the same initial point.
B. It is a set of two or more vectors that are parallel to the same line, irrespective of their magnitudes and directions.
C. It is a set of two or more vectors that are parallel to the same line and have the same magnitudes irrespective of their directions.
D. It is a set of two or more vectors that are parallel to the same line and have the same directions irrespective of their magnitudes.
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