#1
What is the value of 2 + 2 * 3?
8
ExplanationFollows the order of operations, resulting in 8.
#2
What is the result of 5 squared?
25
Explanation5 multiplied by itself gives 25.
#3
What is the sum of the interior angles of a triangle?
180 degrees
ExplanationSum of interior angles of a triangle is always 180 degrees.
#4
What is the value of π (pi) approximately?
3.14159
Explanationπ (pi) is approximately 3.14159.
#5
What is the result of 3 factorial (3!)?
6
Explanation3 factorial (3!) equals 6.
#6
What is the square root of 81?
9
ExplanationThe square root of 81 is 9.
#7
If x + 5 = 10, what is the value of x?
5
ExplanationSubtracting 5 from both sides yields x = 5.
#8
What is the value of log₁₀100?
2
Explanationlog₁₀100 equals 2.
#9
What is the equation of a line with a slope of 2 passing through the point (3, 4)?
y = 2x - 4
ExplanationUsing point-slope form, y - y₁ = m(x - x₁), we get y - 4 = 2(x - 3), then simplifying yields y = 2x - 4.
#10
What is the area of a circle with radius 4 units?
16π
ExplanationArea of a circle with radius r is πr², hence area is 16π.
#11
What is the derivative of 3x^2 with respect to x?
2x
ExplanationUsing the power rule, derivative of x^n is nx^(n-1), hence derivative of 3x^2 is 23x.
#12
What is the value of sin(π/2)?
1
Explanationsin(π/2) equals 1.
#13
What is the derivative of sin(x) with respect to x?
cos(x)
ExplanationThe derivative of sin(x) is cos(x).
#14
What is the indefinite integral of x^2 with respect to x?
x^3/3 + C
ExplanationThe integral of x^n with respect to x is (x^(n+1))/(n+1) + C, so integral of x^2 is (x^3)/3 + C.
#15
What is the indefinite integral of e^x with respect to x?
e^x + C
ExplanationThe indefinite integral of e^x with respect to x is e^x + C.