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WorksheetsMathematics Competency Assessment
Total questions: 15
Worksheet time: 8mins
Solve the quadratic equation: x^2 - 5x + 6 = 0.
x = 1
x = 2, x = 3
x = 5
x = 4
What are the roots of the equation: 2x^2 + 3x - 5 = 0?
1, -2
-1, 5
0, 3
2, -1
If sin(x) = 0.5, what are the possible values of x in degrees?
60 degrees
90 degrees
120 degrees
30 degrees, 150 degrees
Determine the amplitude and period of the function: y = 3sin(2x).
Amplitude: 2, Period: 2π
Amplitude: 1, Period: π/2
Amplitude: 3, Period: 2π
Amplitude: 3, Period: π
Find the mean of the following data set: 4, 8, 6, 5, 3.
4.5
5.2
6.0
7.2
Calculate the standard deviation of the data set: 10, 12, 23, 23, 16, 23, 21.
3.87
4.20
5.10
2.45
What is the derivative of the function f(x) = 3x^3 - 5x + 2?
3x^2 - 5x + 2
9x^2 - 5
9x^3 - 5
6x^2 - 5
Evaluate the integral of f(x) = 2x from 1 to 3.
10
4
8
6
If a die is rolled, what is the probability of rolling a number greater than 4?
1/3
1/2
2/3
1/4
In a class of 30 students, 18 are girls. What is the probability of randomly selecting a boy?
0.3
0.6
0.5
0.4
Solve for x in the equation: 4x^2 - 12x + 9 = 0.
1.5
2
-1.5
3
If cos(x) = 0.6, find the value of x in radians.
1.2566
0.7854
0.9273
1.0472
What is the variance of the following data set: 5, 7, 8, 9, 10?
2.96
4.2
3.5
5.0
Find the area under the curve of f(x) = x^2 from x = 0 to x = 2.
4
8/3
6
2
What is the probability of drawing an Ace from a standard deck of cards?
1/52
1/26
1/13
1/10
