China Secondary Mathematical Olympiad
China Secondary Mathematical Olympiad is a prestigious mathematics competition for secondary school students in China. It is held annually and attracts thousands of participants from all over the country. The competition consists of two rounds: a preliminary round and a final round. The preliminary round is held in local schools, and the top-scoring students from each school advance to the final round. The final round is held in a central location, and the top-scoring students from the final round are awarded medals and prizes.
Questions
What is the sum of the first 100 positive integers?
- 5050
- 5150
- 5250
- 5350
What is the area of a circle with radius 5 cm?
- 25π cm^2
- 50π cm^2
- 75π cm^2
- 100π cm^2
What is the volume of a cube with side length 4 cm?
- 64 cm^3
- 128 cm^3
- 192 cm^3
- 256 cm^3
What is the slope of the line that passes through the points (2, 3) and (5, 7)?
- 1
- 2
- 3
- 4
What is the equation of the line that passes through the point (3, 4) and has a slope of 2?
- y = 2x + 2
- y = 2x - 2
- y = 2x + 4
- y = 2x - 4
What is the solution to the equation x^2 - 4x + 3 = 0?
- x = 1, x = 3
- x = 2, x = 3
- x = 1, x = 4
- x = 2, x = 4
What is the value of the expression (2^3)^2?
- 32
- 64
- 128
- 256
What is the value of the expression log_2(16)?
- 2
- 4
- 8
- 16
What is the value of the expression sin(30°) + cos(60°)?
- 0
- 1
- √2
- √3
What is the value of the expression tan(45°)?
- 1
- √2
- √3
- 2
What is the value of the expression sec(60°)?
- 2
- √2
- √3
- 2√3
What is the value of the expression csc(30°)?
- 2
- √2
- √3
- 2√3
What is the value of the expression cot(45°)?
- 1
- √2
- √3
- 2
What is the value of the expression sin(θ) + cos(θ) if sin(θ) = 3/5 and cos(θ) = 4/5?
- 5/5
- 7/5
- 9/5
- 11/5
What is the value of the expression tan(θ) if sin(θ) = 3/5 and cos(θ) = 4/5?
- 3/4
- 4/3
- 5/3
- 3/5