## 2013 Grade 7 Math Challenge – Elimination Round with answer key – Part II

Below are the 2013 Grade 7 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the Past Tests and All Posts pages.

26.) In Teacher Ella’s class, a student receives a final grade of A if the student garners an average of at least 92% in the five long test. After four long test, Jonathan got an average of 91%. At least how much should he get in the last long test to get a final grade of A?

27.) What is the largest prime factor of 2013?

28.) A class of 47 students took examinations in Algebra and in Geometry. If 29 passed Algebra, 26 passed Geometry, and 4 failed in both subjects. How many passed both subjects?

29.) A runner started a course at a steady rate of 8 kph. Five minutes later, a second runner started the same course at 10 kph. How long did it take for the second runner to overtake the first?

30.) A rectangle has sides (2x +3) cm and (4x + 5) cm. How many squares of side x cm can be cut from it?

## 2013 Grade 7 Math Challenge – Elimination Round with answer key – Part I

Below are the 2013 Grade 7 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify: $\left (2 - \dfrac {1}{2} \right) + \left (3 - \dfrac {1}{3} \right) + \left (4 - \dfrac {1}{4} \right)$

2.) Let $A = (a, b, c, d, e), B = (a, e, i, o ,u), C = (e, f, g, h, i).$ Find $(A \cap B ) \cup (B \cap C)$.

3.) Write $\dfrac {1}{50000000}$ in scientific notation.

4.) Nonoy left Butuan City to drive to Cagayan de Oro City at 6:15 PM and arrive 9:15 PM. If he averaged 80 kph and stopped 30 minutes for dinner, approximately how far is Cagayan de Oro from Butuan?

5.) Simplify: $\left (1 - \dfrac {1}{2} \right)^2 - \left (1 + \dfrac {1}{2} \right)^2$

## 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