## Secret Agent 007

Seven secret agents are on payroll of a government.

Secret agent 001 spies on a secret agent who spies on secret agent 002,

who spies on a secret agent who spies on secret agent 003,

who spies on . . . spies on secret agent 007

who spies on a secret agent who spies on secret agent 001.

Who spies on secret agent 007?

## JUICE, SODA, and LUCKY

A drinks dispenser has three labelled buttons: JUICE, SODA, and LUCKY. If you press LUCKY you are supposed to get either juice or soda with equal probability.

Each button is wired to exactly one of these functions, but each function is not necessarily wired to exactly one button.

Assuming that you are clever, but unlucky, how many button presses are required to establish exactly which button does which function?

## Back to School – Friendship Math

It is the first day of a new school year, and this class has only 10 students.  Ashley has 9 friends, Betty has 8, Caleb has 7, Derek has 6, Elaine has 5, Graham has 4, Henri has 3, Ivana has 2, Julie has 1.  Name one of Fred’s friends.

In a group of 4 school children, each child has exactly two friends, just one of which is their best friend. What is the minimum possible number of children for whom their best friend is also that friend’s best friend?

It is the first day of a new school year, and this class has only 10 students.  Ashley has 9 friends, Betty has 8, Caleb has 7, Derek has 6, Elaine has 5, Graham has 4, Henri has 3, Ivana has 2, Julie has 1.  How many friends does Fred have?

It is the first day of a new school year, and this class has only 5 students. Amy has no friends yet. Betty has one friend. Chris has three friends. Derek has two friends.  How many friends does Ellie have?

In a group of five students, Ann has one real friend among them, Betty has two,  Craig has three, and Dianna has two. How many real friends does Edgar have in the group?

## Sign Logic Puzzle

Find a mistake. Think differently!

Find more logic puzzles for all ages in Think Outside the Box collection of puzzles.

## A+Click 2014 Numbers

2014 Annual Statistics

4600+ challenging problems for students in grades one through twelve;

500,000+ sessions on websites http://www.aplusclick.com and http://www.aplusclick.ru in 2014;

5’30” is the average duration of a session;

190 countries: USA 45%; India 9%; Canada 7%; Australia 5%; UK 5%;

10,000+ cities: top cities are  Brisbane, Australia; Chicago, USA; New Delhi, India;

25% visitors via mobile or tablets;

500 stars is the Best Score of the A+Click Challenge in 2014. Suhas, Bangalore, India is the best performer of 2014.

100 Best Performers of the A+Click Challenge in 2014: USA – 28%; Cambodia – 26%; India – 15%; Canada – 6%.

2,000+ people passed IQ Test; 454 people scored over 100;

100+ suggestions from users;

A+Click continues the adventure in 2015!

## Pancake Math

“Archaeological evidence suggests that pancakes are probably the earliest and most widespread cereal food eaten in prehistoric societies.” – Wikipedia

What is the maximum number of sections into which a pancake may be divided into by four straight cuts through it?

Here more difficult questions go:

1) Is it possible to divided it so that all sections have equal area?

2) How many pancakes are needed to reach your height if they are squeezed by the weight of the upper pancakes?

3) If I spent 30 grams of batter for a pancake (French-style crêpe) of 30 cm in diameter how much batter do I need for the square pancake of the same thickness and the side length of 30 cm?

These and many other practical “pancake” questions are presented in the Applied Math section of A+Click series, which already includes more than 4500 questions.

## The man who counted

The man who counted

“In 1932 Malba Tahan published what would became one of the most successful books ever written in Brazil – O Homem que Calculava – The Man Who Counted.”

## Funny Logic : Serious Math

Math is fun. Ten sample problems prove that math and logic can be interesting. It provides a link to collection of challenging math and logic puzzles.

Can be Math Funny? Try to solve 10 problems from A+Click.

## You Are A Math Genius!

Everybody was born a genius! You too!

Unleash the genius that sleeps within.

One of the possibilities is a small everyday dose of brain work.

Look at the puzzle below.

At the beginning, it can drive you crazy.

Don’t give up!

Take an easier challenge and GROW!

Aplusclick provides you with an enormous opportunity for everyday training!

You start with unpractical number puzzles and finish by solving practical optimization problems such as finding the shortest underground route …

… or packing the maximum possible number of boxes in a room.

Remember: You are a genius! Don’t miss an opportunity to grow!

A rendezvous at www.aplusclick.org

## Math: Practical Problems for Human Beings

There are many books Practical Problems in Math for Electricians, for Health Careers, Welders, etc. Nice!

Why there are not math Q&A just for people?

We tried to compile some of them in the presentation.

Enjoy!