WorksheetsAdvanced Math Challenge
Total questions: 20
Worksheet time: 10mins
Simplify the expression: 3x + 5 - 2x + 7.
x + 12
3x + 12
x + 5
2x + 10
If f(x) = 2x^2 + 3x - 5, what is f(2)?
5
11
9
7
Solve for x: 4(x - 1) = 2(x + 5).
5
7
10
3
What is the vertex of the parabola defined by y = x^2 - 4x + 3?
(2, -1)
(1, 2)
(0, 3)
(3, 0)
If g(x) = 3x - 4, what is g(5)?
7
9
11
15
Prove the identity: sin^2(x) + cos^2(x) = 1.
sin^2(x) + cos^2(x) = 2
sin^2(x) + cos^2(x) = sin(x)
sin^2(x) + cos^2(x) = 1
sin^2(x) + cos^2(x) = 0
Find the value of sin(30°).
1/2
0
3/4
1/4
If P(A) = 0.3 and P(B) = 0.5, what is P(A and B) if A and B are independent?
0.15
0.25
0.1
0.8
What is the mean of the following set of numbers: 2, 4, 6, 8, 10?
10
4
8
6
Calculate the derivative of f(x) = 3x^3 - 5x + 2.
6x^2 - 5
9x^2 + 2
3x^2 - 5
9x^2 - 5
What is the integral of f(x) = 2x with respect to x?
x^2 + 2C
3x^2 + C
x^2 + C
2x^2 + C
If the probability of an event is 0.2, what is the probability of the event not occurring?
1.0
0.5
0.1
0.8
Solve for x in the equation: x^2 - 9 = 0.
x = 6
x = 0
x = 3, x = -3
x = -6
What is the range of the function f(x) = -x^2 + 4?
(-∞, 4]
(-∞, 0]
[0, 4]
(4, ∞)
If a die is rolled, what is the probability of rolling an even number?
1/4
2/3
1/2
1/3
Find the value of cos(60°).
1/2
√3/2
0
1
What is the sum of the angles in a triangle?
90 degrees
120 degrees
180 degrees
360 degrees
If f(x) = x^2 + 2x + 1, what type of function is this?
Exponential function
Cubic function
Linear function
Quadratic function
What is the standard deviation of the following set: 1, 2, 3, 4, 5?
2.236
1.414
0.500
3.000
Evaluate the limit: lim (x -> 0) (sin(x)/x).
-1
1/2
1
0
