# 2015 Grade 8 MTAP Math Challenge – Division Orals

Below are the 2015 Grade 8 MTAP Math Challenge Division Oral Competition questions with answers.

15-second question (2 points each)

1.) What is the slope of the line that passes through the points (-1, 0) and (1, -6)?

2.) Which one is the largest, 3.2, 10/3, π?

3.) A furniture shop offers a 15% discount in all its terms, and a sala set was marked Php 14, 000. What was the selling price of the sala set?

4.) Solve for x in the equation |1 – x| = 8.

5.) If $f (x) = 2 - x - x^2$, what is $f (-1) + f (0)$?

6.) Factor completely the algebraic expression $a^2b -bc^2$.
Answer: $b(a - c) (a + c)$

7.) Find the least integer $x$ that satisfies the inequality $2 - 3x < x + 4$.

8.) Given an angle A, what is the supplement of the complement of A?

9.) The operation $*$ is defined as $a * b = a^2b - ab^2$. What is $2 * (-1)$?

10.) What is the quotient when $2x^2 + 5x + 3$ is divided by $x + 1$?
Answer: $2x + 3$

11.) Ana can paint their bedroom in 4 hours, while her older sister, Carla, can paint it in 3 hours. If they work together, what part of the bedroom can they paint in half an hour?

30-second question (3 points each)

1.) A man started walking at a constant rate of 50 meters per minute. After 30 minutes, from the same point where the first man started, another man started jogging at a constant rate of 120 meters per minute. After 20 minutes more, who is ahead? By how many meters?
Answer: First man, by 100 meters.

2.) How far from the origin is the point midway between the points (1, 2) and (-3, 6)?

3.) When $x^4 - 2x^3 + x^2$ is divided by $x^2 + 1$, what is the remainder?
Answer: $2x$

4.) Find the equation of the line, in slope-intercept form, that passes through the points (-1, 0) and (1, -6).
Answer: y = -3x – 3

5.) Triangle ABC has sides 13, 13, and 10 cm long. What is the area of the triangle?

6.) Find all integers x that satisfy the inequality $\frac{14}{3} < |x - 1| < \frac{15}{2}$
Answer: -6, -5, -4, 6, 7, 8

1-minute question (5 points each)

1.) Find the point of intersection of the lines $2x + 3y = 10$ and $3x + 2y = 5$.

2.) Simplify: $\dfrac{1}{x^2 - 2x - 3} + \dfrac{1}{x^2 + 6x + 5} -\dfrac{2}{x^2 + 2x - 5}$.

3.) What is the area of the region described by the inequalities x ≥ 0, y ≤ 2x, and 2y + 6 ≥ 7x?

4.) Find the domain of the function $f(x) = \frac{1}{x} + \sqrt{2x + 3} + \sqrt{1 - x}$
Answer: {x| – 3/2 ≤ x < 0 or x > 0}

5.) State the inverse of the statement “If P(x) ≥ 0 for all x ∈ R, then x < 0 for some x ∈ R.”
Answer: If P(x) < 0 for some x ∈ R, then x ≥ 0 for all x ∈ R.

6.) The sides of a right triangle are x, x + y, and x + 2y, where x and y are positive numbers. What is the ratio of y to x? Answer: 1:3

Clincher Question

1.) What is the sum of the x- and y-intercepts of line $5x+ 2y = 10$?

2.) In ∆ABC, half of ∠A is 30° less than ∠B, and ∠C is twice the complement of ∠A. What kind of triangle is ∆ABC?

3.) In tossing a pair of dice and a pair of coins simultaneously, what is the probability of getting a sum of 6, a tail, and a head?

Do or Die Question

In the equations $3x + p = 2y + 4$ and $4x = 3y + p + 2$, where $x > y$, what is the least possible integral value of $p$?

### 11 responses to “2015 Grade 8 MTAP Math Challenge – Division Orals”

1. Luther Capispisan

This site is very helpful to me. Hopefully you can post the 2013 Grade 8 MTAP Challenge Elim Rounds Questions n Answers.

Tank You…😊

• vhee jay agpoon

and so??????????

2. JASON

NICE ONE

• vhee jay agpoon

no its not

3. Jellu

Thankszz

4. ANALYN

THANK YOU!

5. Nathaniel David

6. Lezah

Im looking for 2014 mtap exam paper. Can anyone please share me the link or copy of it. Thanks ahead.. 😊

7. Trisha

Number 5 of the one minute questions is wrong

8. sly

ooright <3 😛

9. sly

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