Mathematics & Logic

Advanced Logic and Number Puzzles

A collection of demanding quantitative riddles designed to test analytical skill and mathematical insight without any markdown formatting.

#logic puzzles#cognitive challenge#critical thinking#problem solving#brain workout#advanced math#numerical riddles

Quiz Intelligence

Total Questions

Difficulty Level

hard

Progress

0/0

Quiz Questions

Answer all questions below and test your knowledge.

1
A rectangular grid 4×5 is tiled with 1×2 dominoes. In how many distinct ways can the grid be completely covered?
Question 1
2
Find the smallest positive integer that leaves a remainder one less than each divisor from 2 through 10.
Question 2
3
A circle is inscribed in a square of side 10. What is the area of the region inside the square but outside the circle?
Question 3
4
Two numbers have a harmonic mean of 12 and an arithmetic mean of 20. What is their product?
Question 4
5
In a sequence each term after the first is obtained by adding the previous term's digit sum. Starting with 7, what is the seventh term?
Question 5
6
A cube has edge length a. A sphere is inscribed inside the cube, and another sphere circumscribes the cube. What is the ratio of the volume of the inscribed sphere to that of the circumscribed sphere?
Question 6
7
A fair six‑sided die is rolled three times. What is the probability that the sum of the three results equals 10?
Question 7
8
Find the next number in the series: 2, 12, 60, 360, ?
Question 8
9
A regular hexagon tiled by unit equilateral triangles has side length 3. How many unit triangles compose the hexagon?
Question 9
10
Consider the function f(x)=x³‑3x+1. How many real roots does it have?
Question 10

Never miss a quiz!

Daily challenges on Telegram

Join Now

Expand Your Mind

Movies & TV

easy5 Qs

Iconic Movie Quotes Quiz

How well do you know your movie lines? See if you can match these famous quotes to their films!

Entertainment

hard8 Qs

80s Movie Mania: The Ultimate Trivia Gauntlet

Think you know your 'Back to the Future' from your 'Blade Runner'? Prove your 80s movie mastery with these challenging questions!

Travel & Places

medium6 Qs

Can You Name These Capital Cities?

Put your global knowledge to the test! Match the country to its capital city.

Music

easy7 Qs

Easy Music Trivia Challenge!

Think you know music? Let's find out with this super easy trivia quiz!

Advanced Logic and Number Puzzles

Quiz Intelligence

Quiz Questions

A rectangular grid 4×5 is tiled with 1×2 dominoes. In how many distinct ways can the grid be completely covered?

Find the smallest positive integer that leaves a remainder one less than each divisor from 2 through 10.

A circle is inscribed in a square of side 10. What is the area of the region inside the square but outside the circle?

Two numbers have a harmonic mean of 12 and an arithmetic mean of 20. What is their product?

In a sequence each term after the first is obtained by adding the previous term's digit sum. Starting with 7, what is the seventh term?

A cube has edge length a. A sphere is inscribed inside the cube, and another sphere circumscribes the cube. What is the ratio of the volume of the inscribed sphere to that of the circumscribed sphere?

A fair six‑sided die is rolled three times. What is the probability that the sum of the three results equals 10?

Find the next number in the series: 2, 12, 60, 360, ?

A regular hexagon tiled by unit equilateral triangles has side length 3. How many unit triangles compose the hexagon?

Consider the function f(x)=x³‑3x+1. How many real roots does it have?

Expand Your Mind

Iconic Movie Quotes Quiz

80s Movie Mania: The Ultimate Trivia Gauntlet

Can You Name These Capital Cities?

Easy Music Trivia Challenge!

History's Hidden Chapters: A Scandalous Quiz

Idioms & Phrases Challenge