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1. Find a 10-digit number where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number 6210001000 2. When asked about his birthday, a man said: "The day before yesterday I was only 25 and next year I will turn 28." This is true only one day in a year - when was he born? He was born on December 31st and spoke about it on January 1st. 3. Using 8 exactly eight times to make a 1000. You can use any mathematical symbols 888 + 88 + 8 + 8 + 8 (8(8(8+8)-(8+8)/8))-8 8888/8.888 (888-8) + 8×(8+8) - 8 ((8×(8+8))-((8+8+8)/8))*8 (8+((8+8)/8))^((8+8+8)/8) (8+((8+8)/8))^((88/8)-8) ((8×(8+8))-((88/8)-8))×8 (8888-888)/8 8(8×8+8×8)-8-8-8 4. There were 100 chocolates in a box. The box was passed down along a row of people. The first person took one chocolate. Each person down the row took more chocolates than the person before, until the box was empty. What is the largest number of people that could have been in the row?

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Maths Quiz for High schoolers

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Page 1: Maths quiz

1. Find a 10-digit number where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number

6210001000

2. When asked about his birthday, a man said:

"The day before yesterday I was only 25 and next year I will turn 28."

This is true only one day in a year - when was he born?

He was born on December 31st and spoke about it on January 1st.

3. Using 8 exactly eight times to make a 1000.

You can use any mathematical symbols

888 + 88 + 8 + 8 + 8 

(8(8(8+8)-(8+8)/8))-8 

8888/8.888 

(888-8) + 8×(8+8) - 8((8×(8+8))-((8+8+8)/8))*8(8+((8+8)/8))^((8+8+8)/8)(8+((8+8)/8))^((88/8)-8)((8×(8+8))-((88/8)-8))×8(8888-888)/8

8(8×8+8×8)-8-8-8

4. There were 100 chocolates in a box. The box was passed down along a row of people. 

The first person took one chocolate. Each person down the row took more chocolates than the person before, until the box was empty.

What is the largest number of people that could have been in the row?

The longest line of people you can have is thirteen, with the last person taking all the remaining chocolates. There are not enough chocolates for a fourteenth person, because they would have to take 14 chocolates (after the previous person had taken 13) and there would be only 9 left. 

Page 2: Maths quiz

5. A teacher says: 

"I am thinking of two natural numbers bigger than 1. Try to guess what they are." 

The first student knows their product and the other one knows their sum. 

First: "I do not know the sum." Second: "I knew that. The sum is less than 14." First: "I knew that. However, now I already know the numbers." Second: "And so do I." 

What were the numbers?

The numbers were 2 and 9. Why? Try to think about it.

6. Hungry Horace was looking through the family photograph album, which has a photo of each of his parent, each of his grandparents, all the way up to each of his great-great-great-grandparents. 

How many photos is that?

2 parents4 grandparents8 great-grandparents16 great-great-grandparents32 great-great-great-grandparents

2 + 4 + 8 + 16 + 32 = 62 photos in all.

7. Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?

Three days ago, yesterday was the day before Sunday, so three days ago was itself Sunday.That means today is Wednesday, so tomorrow is Thursday

8. Using three straight lines, divide the cabbage patch up into six sections with two cabbages in each section.

Page 3: Maths quiz

Here is one way:

9. A man is stranded on an island covered in forest. 

One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process. 

There are cliffs around the island, so he cannot jump off.

How can the man survive the fire? (There are no buckets or any other means to put out the fire)

The man picks up a piece of wood and lights it from the fire on the west end of the island. 

He then quickly carries it near the east end of he island and starts a new fire. The wind will cause that fire to burn out the eastern end and he can then shelter in the burnt area.

The man survives the fire, but dies of starvation, with all the food in the forest burnt.10. This mathematician is best known for his work of combining applications of algebra to geometry. He

has a plane named after him.Rene Descartes. Descartes entered college at the age of 8! He stayed there for 8 years. Best known for Cartesian geometry and the Cartesian Plane.

Page 4: Maths quiz

11. Probably one of the most famous mathematician/physicists of our time, this man is confined to a wheel chair because he suffers from amyotrophic lateral sclerosis. He is known for the book "A Brief History of Time".

Stephen HawkingAn amazing man! Read his book "A Brief History of Time". He worked on singularities in the theory of general relativity devising new mathematical techniques to study this area of cosmology. He also proved that black holes emit radiation.

12. This mathematician has a triangle named after him in which each number in the triangle is the sum of the two numbers above it.

Blaise PascalIn correspondence with Fermat, Pascal laid the foundation for the Theory of Probability

13. This mathematician is without doubt the originator of the concepts behind the present day computer. The computation of logarithms had made him aware of the inaccuracy of human

calculation around 1812.Charles Babbage

The construction of modern computers, logically similar to Babbage's design, have changed the whole of

mathematics and it is not an exaggeration to say that they have changed the whole world.

14. The father of geometry, he is most famous for his work "The Elements".

EuclidEuclid's most famous work is his treatise on mathematics "The Elements". The book was a compilation of knowledge that became the center of mathematical teaching for 2,000 years.

15. A number that is smaller in absolute value than any positive real number is called an infinitesimal.

Correct Answer: True16. A triangle whose sides all have different lengths is called a:

Correct Answer: Scalene triangle17. In mathematics, one of the inputs of an operator is called an:

Correct Answer: Operand18. one of the following is reflexive angle

Correct Answer: 22019. . WHAT DOES BIDMAS STAND FOR?

Correct Answer: BRACKETS, INDICES,DIVISON,MULTIPLICATION,ADDITION,SUBTRACTION.

20. You are at an unmarked intersection ... one way is the City of Lies and another way is the City of Truth. 

Citizens of the City of Lies always lie. 

Citizens of the City of Truth always tell the truth. 

A citizen of one of those cities (you don't know which) is at the intersection. What question could you ask to them to find the way to the City of Truth?

You ask "In which of those two directions do you live?"

Page 5: Maths quiz

A Citizens of the City of Lies will point to the City of TruthA Citizens of the City of Truth will point to the City of Truth

21. A man is caught on the King's property. He is brought before the King to be punished. 

The King says, "You must give me a statement. If it is true, you will killed by lions. If it is false, you will be killed by trampling of wild buffalo."

But in the end, the King has to let the man go.

What was the man's statement?

"I will be killed by trampling of wild buffalo."

If you think about it carefully: the King can't say it is true, because if so the man should be killed by the lions. But if he is killed by the lions, then his statement would be false, and so should have been trampled by buffalo.

So the King can't tell if it is a lie or truth, so decides to just let him go.

22. You are about to leave for holiday, but you forgot socks! You race back to your room, but all the lights are off, so you can't see the color of the socks.

Never mind, because you remember that in your drawer there are ten pairs of white socks, ten pairs of black socks, and eleven pairs of blue socks, but they are all mixed up.

How many of your socks do you need to take before you can be sure to have at least one matching pair?

The answer is four. 

Although there are many socks in the drawer, there are only three colors, so if you take four socks then you are guaranteed to have at least one matching pair.

23. A man on a park bench is looking at a small portrait. You ask him, "Who is that in the picture?" 

The man says, "Brothers and sisters, I have none, but that man's father, is my father's son." 

Can you tell what person is in the picture?

The picture is of his son.

24. Famous Mathematicians quiz:-

Page 6: Maths quiz

1. She hid candles in her shoes so she could study math at night.

•  Sonya Kovalevsky

•  Euclid

•  Isaac Newton

•  Sophie Germain (correct answer, your response)

2.

Points earned: 1 out of 1 

 

2. He was a Greek mathematician whose school got burned down.

•  Galileo

•  Pythagoras (correct answer, your response)

•  Archimedes

•  Euclid

3.

Points earned: 1 out of 1 

 

3. He was a Greek mathematician known for shouting “Eureka!” in his bathtub.

•  Galileo

•  Pythagoras

•  Archimedes (correct answer, your response)

•  Euclid

4.

Points earned: 1 out of 1 

 

4. Her bedroom wall was covered with calculus notes.

•  Sonya Kovalevsky (correct answer, your response)

•  Euclid

•  Isaac Newton

•  Sophie Germain

Page 7: Maths quiz

5.

Points earned: 1 out of 1 

 

5. This German mathematician was a smart child who went to college at age 14.

•  Isaac Newton

•  Johann Carl Gauss (correct answer, your response)

•  Sonya Kovalevsky

•  Euclid

6.

Points earned: 1 out of 1 

 

6. He was an English mathematician who was born on Christmas Day.

•  Isaac Newton (correct answer, your response)

•  Johann Carl Gauss

•  Sonya Kovalevsky

•  Euclid

7.

Points earned: 1 out of 1 

 

7. He dropped different weight balls from the Tower of Pisa to show that they would hit the ground at the same time.

•  Isaac Newton

•  Galileo (correct answer, your response)

•  Pythagoras

•  Euclid

8.

Points earned: 1 out of 1 

 

8. He is known as the “Father of Geometry.”

•  Isaac Newton

•  Galileo

•  Pythagoras

•  Euclid (correct answer, your response)

9.

Page 8: Maths quiz

Points earned: 1 out of 1 

 

9. This mathematician died of cancer at age 55.

•  Pythagoras

•  Archimedes

•  Sophie Germain (correct answer, your response)

•  Sonya Kovalevsky

10.

Points earned: 1 out of 1 

 

10. He worked for King Hieron. He conducted experiments to figure out if the king's crown had gold and silver in it.

•  Pythagoras

•  Archimedes (correct answer, your response)

•  Euclid

•  Johann Carl Gauss

11.

Points earned: 1 out of 1 

 

11. This mathematician is famous for experiments involving light, prisms, and the eye.

•  Archimedes

•  Isaac Newton (correct answer, your response)

•  Johann Carl Gauss

•  Sonya Kovalevsky

12.

Points earned: 1 out of 1 

 

12. He was killed in a bean field in 500 B.C.

•  Johann Carl Gauss

•  Euclid (your response)

•  Isaac Newton

•  Pythagoras (correct answer)

13.

Points earned: 0 out of 1 

Page 9: Maths quiz

 

13. This mathematician had to get married in order to leave Russia to study math.

•  Sophie Germain

•  Sonya Kovalevsky (correct answer, your response)

•  Galileo

•  Johann Carl Gauss

14.

Points earned: 1 out of 1 

 

14. This “Prince of Mathematicians” once quickly solved a problem where he was asked to add the first 100 numbers

together.

•  Johann Carl Gauss (correct answer, your response)

•  Euclid

•  Isaac Newton

•  Galileo

15.

Points earned: 1 out of 1 

 

15. This Italian mathematician made telescopes and introduced the scientific method.

•  Johann Carl Gauss

•  Isaac Newton

•  Pythagoras

•  Galileo (correct answer, your response)

16.

Points earned: 1 out of 1