Category Archives: Grade 7-8

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 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?

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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?

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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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