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WorksheetsChallenging Maths for Grade 12
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
What is the derivative of sin(x)?
a)
sin^2(x)
b)
cos(x)
c)
sec(x)
d)
tan(x)
2.
Solve for x: 2x^2 - 4x + 2 = 0
a)
x = -1
b)
x = 2
c)
x = 0
d)
x = 1
3.
What is the integral of 1/x dx?
a)
e^x + C
b)
ln|x| + C
c)
ln(x) + C
d)
1/x^2 + C
4.
Find the limit as x approaches 0 of (sin(x)/x).
a)
1/2
b)
1
c)
0
d)
-1
5.
What is the value of the determinant of the matrix [[1,2],[3,4]]?
a)
2
b)
0
c)
-4
d)
-2
6.
If f(x) = x^3 - 3x + 2, find f'(1).
a)
2
b)
0
c)
-1
d)
1
7.
What is the sum of the angles in a triangle?
a)
180 degrees
b)
360 degrees
c)
90 degrees
d)
45 degrees
8.
Calculate the area of a circle with radius 5.
a)
100.00
b)
50.27
c)
31.42
d)
78.54
9.
What is the quadratic formula?
a)
x = (-b ± √(b² - 4ac)) / (2a)
b)
x = (b ± √(b² + 4ac)) / (2a)
c)
x = (b ± 4ac) / (2√(b²))
d)
x = (2a ± b) / √(b² - 4ac)
10.
If a = 3 and b = 4, what is the value of a^2 + b^2?
a)
30
b)
25
c)
20
d)
15
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