Here’s and example of a SMART MATH problem for GEOMETRY.
Geometry Problem 2
The coordinates of P, Q and R are
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The Usual Way
Using the midpoint formula:
Similarly,
Hence, answer is
(Ans: 3)
Estimated Time to arrive at the answer = 45 seconds.
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The Smart Way
Since the y coordinate of point Q is negative with a value greater than that of point P (i.e. 3 >
Now looking at the coordinates of P and Q, we observe that the ‘x’ and ‘y’ coordinates of P are fractions with denominators 3 and 2 respectively, whereas the coordinates of Q are integers.
Hence, half of the sum of ‘x’ coordinates of P and Q would yield a fraction with denominator 3 x 2 = 6.
Similarly, half of the sum of y coordinates of P and Q would yield a fraction with denominator 2 x 2 = 4.
The only option that satisfies this condition is option ‘3’.
(Ans: 3)
Estimated Time to arrive at the answer = 10 seconds.
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