# Tag Archives: 2014 mtap reviewers

## 2014 Grade 8 Math Challenge Elimination Questions with answers – Part 2

This is the 2014 MTAP Grade 8 Math Challenge questions 26 to 50 with answer key. More reviewers can be found on the Past Tests and All Posts pages.

26.) If the sum of two consecutive angles of a regular polygon is $312^\circ$, how many sides does it have?

27.) The length a trapezoid is $52 cm^2$. If its bases are 8 cm apart, find the sum of their lengths.

28.) The base angles of an isosceles triangle are $(50 - x)^\circ$ and $(30x - 12)^\circ.$ What is the vertex angle?

29.) What is the area of the circle inscribed inside an equilateral triangle whose are is $4\sqrt{3} cm^2?$

30.) Factor: $x^2 + x^3 - y^2 - xy^2$

## 2014 Grade 8 Math Challenge Elimination Questions with answers – Part 1

This is the 2014 MTAP Grade 8 Math Challenge questions 1 to 25 with answer key. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify: 1 – 2 +3 – 4 + … + 49 – 50 + 49 – 48 + 47 – 46 + … + 1

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

3.) In the proportion $x : 12 = 18 : x^2$, what is x?

4.) Between what two consecutive integers does $\sqrt [3]{-100}$ lie?

5.) What is the area of a rectangle whose sides are twice as long as the sides of a smaller rectangle whose area is $17 cm^2?$

## 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?

## 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?