Six Hard Math Brain‑Teasers
A collection of six demanding riddles that blend arithmetic tricks with logical twists, crafted to stretch even seasoned problem solvers.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
A number is three times the sum of its digits. What is the smallest positive integer that satisfies this condition?
- 2
Start with 2 and 3; each subsequent term equals the product of the previous two terms minus the previous term. What is the fourth term?
- 3
A rectangular garden has integer side lengths. Its area exceeds its perimeter by 30 square meters. What is the smallest possible perimeter?
- 4
Find the least positive integer that leaves remainder 4 when divided by 7, remainder 6 when divided by 9, and remainder 8 when divided by 11.
- 5
A right triangle has integer sides. The area equals 84 and the perimeter is minimal among all such triangles. What is the length of the hypotenuse?
- 6
Consider the infinite series 1/2 + 1/4 + 1/8 + … . What is the smallest integer n such that the sum of the first n terms exceeds 0.99?
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