## Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 3

This is the third part (questions 21-30) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 and 2-10.

Although much care was given in solving these problems, the solver is only human. If you found any errors in the solution, please comment in the box below.

Note: If you have old MTAP questions, you can send them to mtapreviewers@gmail.com and I will solve them for you and post it here.

21.) When $P (x)$ is divided by $x^2 + 2$, the quotient and remainder are both $x$. What is $P(-1)$?

Solution
If we divide 5 by 3, then we get a quotient of 1 and a remainder of 2. If we generalize latex $a$ the dividend, $b$ as the divisor, $q$ as the quotient and $r$ as the remainder, we can form the equation Continue reading “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 3”

## Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 2

This is the second part (questions 11-20) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 here. If you found any errors in the solution, please comment in the box below.

11.) If $x = 4$ and $y = -3$, what is $x^2y + xy^2$?

Solution

$x^2y + xy^2 = (4^2) (-3) + (4) (-3)^2 = (16) (-3) + 4(9)$
$= (-48) + 36 = -12$

12.) Simplify $x(1 + y) - 2y(x - 2) + xy$Continue reading “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 2”

## Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 1

Below is the first part of the Grade 8 MTAP 2015 Elimination Questions with Solutions and answers. If you find any errors, please comment on the box below.

1.) Find the average of the numbers -1, 3/2, and 1/2.

Solution

(- 1 + 3/2 + 1/2)/3 = 1/3

2.) How much larger is 2/3 than 1/6?

Solution
2/3 – 1/6 = 4/6 – 1/6 = 3/6 = 1/2

3.) If one ream contains 500 sheets of paper and a sheet of paper is 0.3 mm thick, how thick is one ream in meters?

Solution

500 × 0.3mm = 150 mm = 0.15m

4.) What is the second largest number among numbers $\sqrt{2}$, 3/2 , 1.4, $\sqrt{3}$ and 1.6?

Solution

$\sqrt{2}$ is around 1.41 and $\sqrt{3}$ is around 1.7.

5.) If an inch is about 2.54 cm, what is 1 cm to the nearest hundredth of an inch?

Solution

$1:2.54 = x: 1, x = 0.39$

## 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: $b(a - c) (a + c)$  Continue reading “2015 Grade 8 MTAP Math Challenge – Division Orals”

## Grade 7 MTAP 2015 Questions with Solutions Part 5

This is the fifth part of the Metrobank-MTAP Math Challenge Questions for Grade 7. In this post, we discuss the solutions to number 41-50. You can also read the solutions to 1-10, 11-20, 21 – 30, and 31-40.

41.) Each square in the figure has side length 1. The curve each square is a circular arc with center at a corner of the square. What is the area of the shaded region?

Solution: will be discussed in a separate post.