## 2019 Grade 8 Math Challenge Division Finals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 8 Math Challenge Division Finals questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

1.) If

$25^x = \dfrac{5^{x-2}}{3^{x+2}}$,

find $x$.

2.) Solve for $x$ in the equation $|3x - 2| = 4$.

3.) A computer screen saver displays a circle of radius of 2cm and enlarges it. What is the radius of the new circle if its area is four times the original?

4.) Factor completely: $6x^3 + x^2 - 2x$.

5.) Find the solution set of

$\dfrac{2}{3}x < 3x + \dfrac{2}{9}$.

## 2019 Grade 7 Math Challenge Divisionals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 7 Math Challenge Division Finals questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) If 1 megabyte is equal to $10^6$ bytes and 1 gigabyte is equal to $10^9$ bytes, how many gigabytes are there in 1 megabyte?

2.) Divide $2.4 \times 10^{-8}$ by $6 \times 10^8$ and write the quotient in scientific notation.

3.) Point Q lies midway between points  P and R on a number line. What is the coordinate of R if P and Q have coordinates -16 and -7, respectively.

4.) How many sides does a regular polygon have if the measure of each interior angle is $160^\circ$?

5.) Assume A and B are subsets of the set of integers. If A is the set of multiples of 2, and B is the set of multiples of 3, describe the elements of A ∩ B.

## 2016 Grade 7 Math Challenge Elimination Questions

This is the 2016 MTAP Grade 7 Math Challenge questions 26 to 30. Solutions and answer will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify: $6(2)^2 - (4 - 5)^3$.

2.) By how much is $3 - \frac{1}{3}$ greater than $1 - \frac{1}{2}$?

3.)  Write $\frac{11}{250000}$ in scientific notation.

4.)  The product of two prime numbers is $3024$. What is the sum of the two numbers?

5.)  A shirt is marked P 315 after a discount of 10% and value added tax of 12%. What was the price of the shirt before tax and the discount?

6.)  How many different lengths of diagonals does a regular octagon have?  Continue reading

## 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