Algebra
1. Solve for
xx
x:
2.
5x+3=2x+185x + 3 = 2x + 18
5x+3=2x+18
3. Expand and simplify:
(x+3)(x−4)(x + 3)(x - 4)
(x+3)(x−4)
4. Factorize completely:
x2−5x+6x^2 - 5x + 6
x2−5x+6
Geometry
4. Find the area of a triangle with a base of 8 cm and a height of 5 cm.
5. Calculate the circumference of a circle with a radius of 7 cm. (Use
π≈3.14\pi \approx 3.14
π≈3.14)
Trigonometry
6. Find
sin θ\sin \theta
sinθ if
cos θ=35\cos \theta = \frac{3}{5}
cosθ=53
and
θ\theta
θ is in the first quadrant.
Statistics
7. Mean:
Calculate the mean of the numbers: 12, 15, 10, 18, 20.
Probability
8. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the
probability of randomly selecting a blue ball?
Calculus (for more advanced practice)
9. Differentiate with respect to
xx
x:
f(x)=3x2−4x+5f(x) = 3x^2 - 4x + 5
f(x)=3x2−4x+5
