# 2015 Grade 10 MTAP Math Challenge – Division Orals

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 2*x* + 3*y* = 5?

Answer: 5/3

2.) How many degrees is of a revolution?

Answer: 432°

3.) What is the vertex of the parabola with equation ?

Answer: (-1, 2)

4.) Find the value of

Answer: 2/3

5.) What’s the exact value of sin (29π/4)?

Answer:

6.) Find the value of so that is divisible by .

Answer: -1/2

7.) What is the domain of ?

Answer: (0, 1)

8.) If the sequence 1, 2/3, *x* is harmonic, find the value of* x*.

Answer: 1/2

9.) What is the x-intercept of f(*x*) = log(*x*-1)

Answer: 2

10.) The system 2*x* + 2*y* = 1 and 3*x* + 3*y* = *a* has infinitely many solutions for which value of a?

Answer: 3/2

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.

Answer: 6

2.) Find the value of a if the line *ax* + 2*y* = 1 is perpendicular to 3*x* – 6*y* = 7.

Answer: 4

3.) Find the value of so that the domain and range of are identical sets.

Answer: 3

4.) If sec θ = -13/5 and sin θ < 0, find the value of tan θ.

Answer: 12/5

5.) Assuming that and are the roots of , what is ?

Answer: -20/9

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?

Answer: 65

2.) Given that tan θ = -2, find the value of sin 2θ.

Answer: -4/5

3.) Solve:

Answer: 1/2

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 ?

Answer: 49

6.) Find the real roots of given that is one root.

Answer: -1, 3

**Clincher Question**

1.) If secθ = 5, find the value of cos(π – θ).

Answer: -1/5

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?

Answer: 13

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wow, so demanding

i dont have a copy of the 2014 orals, but i do have a copy of an oral if you know what i mean 😉

haha… can you send it to mtapreviewers@gmail.com, then, i’ll solve it and post it here. 🙂

hi…do you have a copy of the 2014 orals? tnx ahead…

i dont have a copy of the 2014 orals, but i do have a copy of an oral if you know what i mean 😉

why is it there there is not grade 7 for oral 2015 please who can help us thank you very much for your generosity!

nc grammar

Can I get a copy of the solutions? Thanks, in advance

Do you have the 2016 mtap grade 10 orals

hello, can I please have the detailed solutions for 2015 Grade 10 MTAP Math Challenge – Division Orals? thank you so much… GOD BLESS