Below are the 2015 Grade 10 MTAP Math Challenge Division Oral Competition questions with answers.
Note: I will fix the latex equations later.
15-second question (2 points each)
1.) What is the y-intercept of 2x + 3y = 5?
2.) How many degrees is of a revolution?
3.) What is the vertex of the parabola with equation ?
Answer: (-1, 2)
4.) Find the value of
5.) What’s the exact value of sin (29π/4)?
6.) Find the value of so that is divisible by .
7.) What is the domain of ?
Answer: (0, 1)
8.) If the sequence 1, 2/3, x is harmonic, find the value of x.
9.) What is the x-intercept of f(x) = log(x-1)
10.) The system 2x + 2y = 1 and 3x + 3y = a has infinitely many solutions for which value of a?
11.) What is the range of ?
Answer: (-∞, 1/7)
30-second question (3 points each)
1.) Find the area of the triangle in the first quadrant bounded by the line x/3 + y/4 = 1.
2.) Find the value of a if the line ax + 2y = 1 is perpendicular to 3x – 6y = 7.
3.) Find the value of so that the domain and range of are identical sets.
4.) If sec θ = -13/5 and sin θ < 0, find the value of tan θ.
5.) Assuming that and are the roots of , what is ?
6.) Find the solutions of .
Answer: 16, 1/2
1-minute question (5 points each)
1.) How many multiples of 3 are there between 5 and 200?
2.) Given that tan θ = -2, find the value of sin 2θ.
4.) Find the perimeter of the region in Quadrant I that is bounded by the circle and the line .
Answer: √2+ π/2
5.) Find the remainder when is divided by ?
6.) Find the real roots of given that is one root.
Answer: -1, 3
1.) If secθ = 5, find the value of cos(π – θ).
2.) What is the inverse of f(x) = (2x + 3)/(5x-1)?
Answer: y = (x + 3)/(5x – 2)
3.) x is directly proportional to y and inversely proportional to the square of z. What happens to x if y and z are both doubled?
Answer: halved or divided by 2
Do or Die Question
What is the next term in the arithmetic sequence x + 1, 2x – 3, x + 5?