# Tag Archives: mtap reviewer for grade 8

## 2017 Grade 8 Math Challenge Elimination Round (Questions 26-50) with PDF

This is the 2017 MTAP Grade 8 Math Challenge questions 26 to 30. Questions 1-25 including can be found here. The pdf can be downloaded here. Solutions and answer will be posted later.

26.) Perform the indicated operations and simplify:

$\dfrac{2x - 3}{6x} \cdot \dfrac{4}{6x - 9} \div \dfrac{8}{x}$

27.) What is the difference between the mean and the median of 2, 3, 3, 4, 6, 7, 8, 15?

28.) The surface area of a cube is 50% more than its volume. Find the total length of the edges of the cube.

29.) What is the slope of the line with y-intercept 6 and x-intercept $-4$?

30.) If the standard deviation of a set of 20 numbers is 0, what is its range?

31.) A date is randomly chosen from the month of February 2017. What is the probability that the date chosen is a prime number greater than 10?

32.) Solve for $x: (x - 3) + 2( x-3) + 3(x-3)+ \cdots + 200(x-3)=1809004$Continue reading

## 2017 Grade 8 Math Challenge Elimination Round (Questions 1-25)

This is the 2017 MTAP Grade 7 Math Challenge questions 1 to 25.Questions 26-30 including the pdf will be posted very soon.

Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

1.) What is the sum of the reciprocals of all the positive divisors of 8?

2.) Factor completely: $27x^5y^5 + 12x^3y^7$.

3.) Expand and simplify: $(x+y)^2 - (x - y)^2 +(x+y)(x - y)$.

4.) If $6x^2 + kx - 8 = 2(3x+1)(x - 4)$,what is the value of $k$?

5.) Factor completely:

$\dfrac{x^2y^2}{16} - \dfrac{4}{25}$ .

6.) What is the area of a square whose perimeter is $8x - 36$Continue reading

## 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