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Math Aptitude Test

Prof. Shane Frederick became famous for creating the world’s shortest test called the Cognitive Reflection Test with only 3 questions.

  1. A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?

  2. If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

  3. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

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Meanwhile here at the MathDojo, the Dojomaster presents the following 8 questions called the Math Aptitude Test for your enjoyment and challenge. (Problem 7 is the same problem as question 3 in "Fun Challenges".)

 

  1. You have 100 lbs of potatoes, which are 99 percent water by weight. You let them dehydrate until they are 98 percent water. How much do they weigh now?

  2. You drive from point A to point B at the rate of 60 mph and return the same route at the rate of 40 mph. What is the rate of the average mph for the entire trip?

  3. Worshipful natives are rolling a giant statue across their island. They made an idol statue of you because they think you are a Math God. The statue rests on a slab, which rests on rollers that have a circumference of 1 meter each. How far forward will the statue have moved when the rollers have made in one revolution? If you fail to get this EASY question correctly, the math-worshipping cannibals may be very upset and eat you alive.

  4. How many times must an 8-toothed cogwheel rotate on its axis to circle around a 24-toothed cogwheel?

  5. There are two concentric circles. The radius of the larger circle is R and the radius of the smaller circle is r. The length of the chord tangent to the inner circle is 20 inches. Find the area of the annulus.

  6. Given an equilateral triangle with internal segments from the point P inside the circle to respective sides are perpendicular. The lengths are 3, 4, and 5. Find the area of this equilateral triangle.

  7. Find the missing number in the following sequence: 10 11 12 13 14 15 16 17 20 22 24 ___ 100 121 10000​​

  8. How do you make 30 or 31 just as acceptable as 32 is for the blank in the following sequence: 1 2 4 8 16 ____

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