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Recommended quizzes

[Interesting] Collection of Math Quiz Problems

We’ve put together a collection of “math quizzes” we’d love math enthusiasts to try.

From problems you can solve using formulas you learned in school, to quizzes that require a flash of insight, to ones you’ll almost certainly get wrong if you think too straightforwardly—we’ve prepared lots of fun challenges.

There are also arithmetic quizzes for a good mental workout, so even elementary school students can give them a try.

The insight-based quizzes are perfect for filling spare moments or tackling during your commute.

Get everyone’s brains firing on all cylinders and give them a try!

[Interesting] Compilation of Math Quiz Problems (11–20)

Which weight has a different weight?

An Interesting Physics Story: The Paradox of Falling Objects
Which weight has a different weight?

For those looking for a more challenging problem, I also recommend the puzzle where you identify a weight with a different mass.

In this one, there are 12 weights, and exactly one of them is different, so you use a balance scale to find it.

Of course, if you weigh all the weights, you’ll figure out the answer.

However, the aim of this puzzle is to discover it in as few steps as possible.

It requires not only mathematical knowledge but also creativity.

Try to think flexibly!

Sum of the areas of a square and an equilateral triangle

[Inspiration Arithmetic] A beautiful, excellent problem that even elementary school students can solve! Please find the total area.
Sum of the areas of a square and an equilateral triangle

This is a problem about finding the area of a figure.

Many people may know how to find the area of a single shape, but here we need to find the area of a complex figure that combines an equilateral triangle and a square.

Those who aren’t confident with this might hesitate at first glance, but if you notice that all the side lengths are the same regardless of the shape, you can solve it very easily.

It’s useful for study from elementary school students to adults, and it’s a good bit of trivia to remember.

[Challenging] Math Quiz

10 Challenging Math Quiz Questions
[Challenging] Math Quiz

No matter their age, many people probably struggle with arithmetic or math.

Some are great at calculations but completely stumble on word problems.

This time, most of the questions are word problems and a bit more challenging than what you studied in school, but don’t worry—the quiz is followed by detailed explanations, so even if you’re not confident, you can review comfortably and learn while having fun.

If you’re good at math, it’s fun to tackle the problems on your own; if you’re not, try gathering with friends and taking on the challenge together.

Four integers?

[Math Quiz] Math Olympiad: Four Integers! Can You Solve It with Just This? With Explanation [Challenging Math Problem]
Four integers?

This is a problem that appeared in a past Arithmetic Olympiad.

The problem itself is aimed at elementary school students, but when you actually try to solve it, it turns out to be quite challenging.

It involves adding and subtracting the four provided two-digit integers to find the answer, and rather than calculation skills, it requires reasoning and logical thinking, so some adults may also find it difficult.

However, once you notice the numerical patterns, it becomes easy to solve, and needless to say, it feels very satisfying once you get it.

How long did the round trip take?

[Arithmetic Quiz Land] 061: How long did the round trip take?
How long did the round trip take?

This is a problem where you calculate the time taken for a round trip.

If you apply the formula “time = distance/speed,” it should be relatively easy to solve.

Various numbers appear, but what you need are the distance and the speed.

Then just take into account that it’s a round trip and you’re done.

Since it’s a trick quiz, let’s answer it calmly.

This quiz tests whether you can think straightforwardly.

With knowledge at about a 6th-grade level, you can solve it, so it could be fun to try it together with your child.

Some of you may have been taught it as the ‘HA-JI-KI’ rule.

Monty Hall problem

Monty Hall Problem: Math Quiz
Monty Hall problem

It’s a quiz where you choose one of three doors or boxes, the host reveals a dud from the other two, and then you decide whether to switch your choice or stick with it.

If you can figure it out at first glance, you could be said to have considerable mathematical talent.

Many people may not immediately grasp it even after seeing the answer.

To solve this problem, it’s important to change your perspective.

We tend to focus only on the winning option, but it becomes clearer if you look at the losing side first.

Should you switch, or should you stay? Your reasoning will be put to the test.

[Interesting] Collection of Math Quiz Problems (21–30)

What is the perimeter of the figure in meters?

[4th Grade Math Problem] A shape that looks easy but is surprisingly hard to solve!
What is the perimeter of the figure in meters?

These are area problems with geometric shapes for elementary school students.

They require not only calculation, but also the ability to read charts and understand written text, so many children find them difficult.

Here, we slowly and clearly explain how to solve simple area problems involving triangles and quadrilaterals.

Even children who struggle should be able to solve them smoothly by practicing while reading the explanations.

These problems are also recommended for adults—those who struggled with math as children or those who were asked by their child and weren’t sure of the answer.