Six Hard Math Brain Teasers to Solve
A collection of six challenging numerical riddles designed to stretch your reasoning and calculation skills.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
Find the smallest positive integer that equals the sum of the factorials of its digits (excluding the trivial 1).
- 2
What is the least number of distinct positive integers whose sum is 100 and whose product is maximized?
- 3
A circle of radius r is inscribed in an equilateral triangle. What fraction of the triangle’s area does the circle occupy?
- 4
Solve for x in the integer equation 2^x + 3^x = 5^x.
- 5
What is the 10th term of the sequence defined by a1 = 1 and a_{n+1} = a_n + n^2?
- 6
A six‑sided die is rolled three times. What is the probability that the sum of the three results equals 10?
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