[Interesting] Collection of Math Quiz Problems

Mathematics Probability Problem

[Yukkuri Explanation] A Paradox That Traps 99%! A Probability Problem in Mathematics

The prisoner’s paradox, often explained in the context of solving the Monty Hall problem posed in probability theory.

It’s a quiz that asks whether your chances of survival increase if, among three prisoners with only one destined to be spared, you learn in advance who will not be spared.

Although it’s a problem themed around mathematical probability, there’s no need to think in a complicated way.

By following your intuition, you can arrive at the correct answer.

It’s an extremely challenging puzzle packed with the allure of paradoxes—where seemingly sound logic leads to an unsettling conclusion.

expand_lessRaise the rankingexpand_morelower

mutō

Report a problem

What is the probability of ◯◯?

A paradoxical probability problem that people good at math are more likely to get wrong [IQ Test]

This is a probability calculation quiz at the level taught in junior high school math.

Here, we explain in detail and in an easy-to-understand way how to calculate more challenging probabilities using playing cards and other tools.

It’s a quiz, but you’ll learn from it too.

Probability tests both the mathematical element of calculation and the reading comprehension needed to interpret problems, so many people—whether you’re currently a student or an adult who used to be—find it difficult.

In addition to the card-based probability methods taught at school, this set also includes some unusual types of problems, so please give it a try.

How many coconuts were collected first?

[University of Tokyo/Kyoto University] A simple yet maddeningly difficult math problem [If you can solve this, you’re at top-tier university level]

It’s a very famous math problem that’s been around for a long time.

The story is simple: five men stranded on a deserted island divide a pile of coconuts, and the leftovers are given to a monkey.

At first glance it seems straightforward and easy to solve, but in fact it’s a deceptively deep problem that’s hard to crack without knowledge such as middle-school mathematics, including recurrence relations.

There are many variations, and all are quite challenging—so much so that the problem has even appeared on university entrance exams in the past.

A key hint is to notice that all five castaways do the same thing in turn; focusing on that point helps lead you to the solution.

How much is the milk?

Will 99% of people be fooled?! A simple math problem: “Bread and Milk”

This is an arithmetic problem with a bit of a riddle-like twist.

There are various versions of this problem, but this time it’s made using bread and milk.

The calculations needed to find the answer are very simple—even elementary school students can solve them—but because the problem statement reads like a clever riddle, many people get tripped up even if they think they’ve solved it easily.

If you got caught, make sure to review the problem carefully all the way to the end.

Intuitive Math Quiz

[Intuition × Intelligence] An intuitive math quiz to get answers by rough estimation! If you’re in the multiplication club, you can easily ace every question, right?

We’re introducing an intuitive math quiz that tests your ability to estimate.

In this quiz, you’re asked to solve fairly complex expressions within a short time limit.

Writing out the equations is prohibited—you must arrive at the answer instantly, using only mental calculations.

However, since the answers are multiple-choice, you don’t need to fully solve every expression; it’s fine to make an educated guess.

If you want to adjust the difficulty, try simplifying the equations or reducing the number of choices.

expand_lessRaise the rankingexpand_morelower

yamamoto

Report a problem

What is the area of the isosceles triangle?

[Math Quiz] A simple problem that even elementary schoolers can solve in 10 seconds!

This is a quiz for elementary school students on finding the area of an isosceles triangle.

Among problems about calculating the areas of shapes, this one is very basic and extremely simple.

Even if you’re someone who struggles with word problems and can’t do them at all, or an adult seeing this type of problem for the first time in a while, the explanations are detailed and easy to understand, so you can check your answers with confidence.

If you’re a parent who was asked by your child but didn’t know the answer, it’s a good idea to take a quick, secret look and study up.

Which route is correct?

[Arithmetic Puzzles] Three maze problems said to be solved by smart elementary school students! Includes explanations [Math Quiz]

This is a problem that incorporates puzzle-like elements rather than calculations.

It presents three mazes, with the rule that the same route can only be used once across all the mazes, so you aim for the goal while figuring out the correct paths.

The first problem has a strong play-oriented feel and is suitable for elementary school students and children, while the other two are quite difficult and can be considered for adults.

You can take it on solo, or enjoy it by teaming up and tackling it together in a lively atmosphere at parties or group gatherings.