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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

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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?

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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?

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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 ?

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