#1
What is the result of 3^4?
64
ExplanationExponentiation: 3 multiplied by itself 4 times.
#2
What is the value of √(16/4)?
2
ExplanationSquare root of the division of 16 by 4.
#3
Find the value of x in the equation 2x + 5 = 17.
8
ExplanationSolving a simple linear equation.
#4
If a rectangle has a length of 8 units and a width of 6 units, what is its area?
48 square units
ExplanationArea formula: Length × Width.
#5
What is the result of 4^0?
1
ExplanationAny non-zero number raised to power 0 equals 1.
#6
If the square root of x is equal to 5, what is the value of x?
25
ExplanationInverse operation of square root.
#7
What is the result of 10% of 200?
20
ExplanationPercentage calculation.
#8
What is the result of 5!?
120
ExplanationFactorial of 5: 5 × 4 × 3 × 2 × 1.
#9
What is the value of 2^3 * 3^2?
72
ExplanationProduct of powers of 2 and 3.
#10
What is the value of the expression 2x + 3y - z when x=2, y=4, z=1?
11
ExplanationSubstitute values and compute the expression.
#11
If a circle has a radius of 5 units, what is its circumference?
25π units
ExplanationCircumference formula: 2πr.
#12
What is the value of sin(π/6)?
1/2
ExplanationSine function calculation.
#13
What is the result of 2^8?
256
ExplanationExponentiation: 2 multiplied by itself 8 times.
#14
If a triangle has sides of lengths 5, 12, and 13 units, what type of triangle is it?
Right-angled
ExplanationVerify Pythagorean theorem.
#15
What is the result of (7 + 3) * (4 - 2)?
20
ExplanationMultiplication of the sum and the difference.
#16
What is the result of log(base 2) 32?
5
ExplanationLogarithmic calculation.
#17
If the sum of three consecutive integers is 45, what is the smallest integer?
14
ExplanationUnderstanding consecutive integer sums.
#18
What is the value of cos(π/3)?
√3/2
ExplanationCosine function calculation.
#19
If f(x) = 3x^2 - 2x + 5, what is f(2)?
17
ExplanationSubstitute x=2 into the function.
#20
What is the value of tan(π/4)?
1
ExplanationTangent function calculation.
#21
What is the value of cos(π/6)?
√2/2
ExplanationCosine function calculation.