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Free SCAT Advanced (6th-8th Grade) Sample Test

Get our free sample test for the SCAT Advanced and sample our products today! This test includes 5 Quantitative and 5 Verbal questions from our SCAT Advanced Pack including solutions and explanations. The free test can be taken online or downloaded as a PDF.

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[1] The following question has two parts. One part is in Column A. The other part is in Column B. You must determine if one part is greater than the other or if the parts are equal. Then select one of the following four answers:
  • A if the part in Column A is greater
  • B if the part in Column B is greater
  • C if the two parts are equal
  • D if not enough information is given




[2] The following question has two parts. One part is in Column A. The other part is in Column B. You must determine if one part is greater than the other or if the parts are equal. Then select one of the following four answers:
  • A if the part in Column A is greater
  • B if the part in Column B is greater
  • C if the two parts are equal
  • D if not enough information is given




[3] Each question begins with two words. These two words go together in a certain way.
Select the pair of words from the answer choices that go together in the same way as the first pair of words.

Answers

[1] Choice A – The area of the big square (including the small white square) is (k + m)2. If we simplify it: (k + m)2 = k2 + 2km + m2. The area of the small white square is k2. The area in column A, is the shaded area which is k2 + 2km + m2 minus k2, k2 + 2km + m2 - k2 = 2km + m2 and 2km + m2 = m (2k + m). Since both m and k are lengths, they are positive numbers. Therefore, the part in column A (m (2k + m)) is greater than the part in column B (m (k + m)).

[2] Choice C – Looking at the hexagon and the bold line, the perimeter and the bold line have 4 sides in common. The difference between the two is that in column A (the perimeter) two gray sides of the hexagon are added, while in column B two lines from the center to the hexagon vertex are added. In a regular hexagon divided to 6 triangles, meeting at the center, the length of the lines connecting the center to the vertex are equal to the length of a side of the hexagon.

Each triangle created is an equilateral triangle:        

This means that the two sides of the hexagon and the two lines from the center to the vertex are equal. Therefore, the part in column A is equal to the part in column B, and the correct answer is C.

[3] Choice A – The correct answer is benefactor : aid. A counselor provides advice as a benefactor provides aid.

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