﻿ Practice Math Questions  # Practice Math Questions

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 1) What's the radius of the largest sphere that can be placed inside a cube of volume 64?   (A) 16 (B) 8 (C) 4 (D) 2 (E) 2 2) One side of this square is on the radius of the circle. The circle's radius is 6. What's the area of the blue region?   (A) 12 (B) 36 (C) 36 - 12 (D) 36 - 9 (E) 36 - 9 • 3) The average of 12 consecutive even integers is 981. What's the highest of these integers?
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• (A) 988
• (B) 989
• (C) 990
• (D) 991
• (E) 992
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• 1) What's the radius of the largest sphere that can be placed inside a cube of volume 64?
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• 1. If the cube's volume is 64, then each edge has a length of 4.
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• 2. The largest circle or sphere that fits inside this cube has a diameter of 4.
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• 3. The radius is half the diameter, so the radius is 2.
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 2) One side of this square is on the center of the circle. The circle's radius is 6. What's the area of the blue region?   Answer is (D) 36 - 9  • 1. The area of the square is 36.
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• 2. The area of the entire circle is 36 .
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• 3. Only 1/4 of the circle is in the drawing. 1/4 of 36 is 9 .
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• 4. Subtract the area of the quarter circle from the area of square.
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• 5. The area of the blue region is 36 - 9 •
• The answer is typically in terms of .
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• 3) The average of 12 consecutive even integers is 981. What's the highest of these integers?
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• 1. There are 12 numbers, so draw 12 spaces.
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• 2. The average is 981, which goes right in the middle.
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• 3. The consecutive numbers are even, so we know what the next number is.
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• 4. And from there, we know what all the other numbers are.
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• 5. The highest is 992.