## 2016 Grade 7 Math Challenge Elimination Questions with answers – Part 2

This is the 2016 MTAP Grade 7 Math Challenge questions 26 to 50 with answer key. More reviewers can be found on the Past Tests and All Posts pages.

26.) The sum of the square roots of two positive integers is $54$. If the two integers differ by $54$, what are the integers?

## 2014 Grade 7 Math Challenge – Elimination Round with answer key – Part II

Below are the 2014 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.) Subtract $2a^2 + 2ab - ac$ from the product of $a + b$ and $2a - b + c$.

27.) A cylindrical container which with radius 10 cm is filled with water to a height of 2 cm. The water is poured into a second cylindrical container with 4 cm radius. How high will the water be in the second container?

28.) Luis can arrange 6 or 9 stickers to a page without any stickers left over. If he arrange his stickers 10 to a page, there are 2 stickers left over. What is the smallest number of stickers Luis can have?

29.) ABCDEFGH is a regular octagon. What is the measure of $\angle BAD?$

30.) Given a rectangle ABCD, let E be the midpoint of side AB and F be the midpoint of side BC. What part of the rectangle ABCD is triangle DEF?

## 2016 Grade 8 Math Challenge – Elimination Round with answer key – Part II

Below are the 2016 Grade 8 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the Past Tests and All Posts pages.

26.) Liza ran 200 meters in only 45 seconds. What was Liza’s speed in kilometers per hour?

27.) Suppose f(x) is a linear function such that $f(\frac{1}{2}) = -7$ and $f(1) = -3$. What is f(3)?

28.) Ana has four cardboard squares, each of which has side of length 6 cm. She decides to form a trapezoid by putting three squares side-by-side, cutting one square along a diagonal, discarding one-half and putting the other half at one end of three squares. What is the area of the trapezoid?

29.) What is the perimeter of the trapezoid in #28?

30.) The number 9,979 is a four-digit number the sum of whose digits is equal to 34. How many such number exist?

## 2014 Grade 7 Math Challenge – Elimination Round with answer key – Part I

Below are the 2014 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: $\dfrac {6}{5} \times \dfrac {1}{4} + 2 \div \dfrac {5}{2}$

2.) Simplify: $\dfrac{\dfrac{2}{3} - \dfrac{5}{4}}{\dfrac{1}{2} + \dfrac{4}{3}}$

3.) Write in scientific notation: $\dfrac {7}{12500000}$

4.) Simplify: $2 - \left( 1 + \dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{16} \right)$

5.) Julie’s average for the first four tests is 88.5 If she wants an average of at least 90 in the five tests, what score must she get in her last test?

## 2016 Grade 8 Math Challenge – Elimination Round with answer key – Part I

Below are the 2016 Grade 8 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify: $(a - b)^2 (a + b)^2 + 2a^2b^2$

2.) Simplify: $\left( \dfrac {125x^4y^3}{27x^{-2y^6}} \right)^\frac{1}{3}$

3.) Solve for x in the equation $x^4 - 5x^2 + 4 = 0$.

4.) In the arithmetic sequence $10 + 10\sqrt{3}, 11 + 9\sqrt{3}, 12 + 8\sqrt{3}, ... ,$ what term has no $\sqrt{3}$?

5.) If $x + y = 12$ and $xy = 50$, what is $x^2 + y^2$?