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## Math Riddles With Answers

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#### Math riddles

#### Math riddles

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How much was on the table originally?

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One morning- May 1- my watch showed the right time. By what date was it 5 minutes faster?

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(5 x 5 x 5)-(5 x 5)=100; (5+5+5+5)x 5=100;(5 x 5)(5-(5/5)=100.

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Supposed that during this time the paint neither dries nor diminishes in quantity. How many inches of each pencil will be sneared with paint after the tenth move?

Each pair of down and up movesof the blue pencil smears 1 more inch of each pencil. 5 pairs of moves will smear 5 inches. This together with the initial inch, makes 6 inches for each pencil.

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#### Math riddles

The apprentice was thorough. When he finished inspecting the clock it was dark. Assuming his work was done, he attached the new hands and set the clock by his pocket watch. It was sic o'clock, so he set the big hand at the 12 and the little hand at the 6.

The apprectice returned, but soon the telephone rang. He picked up to his angry client:

"You didn't do the job right. The clock shows the wrong time."

Surprised he hurried back. He found the clock showing not much past eight. He handed is watch to the client and showed her that her clock was not even one second late. The client had to agree.

Early the nect morning, the client telephoned to say the clock has apparently gone berserk, hands were moving around the clock at will. The apprentice again rushed over, the clock showed a little past seven. After checking his watch he yelled:

"You are making fun of me! Your clock shows the right time!"

Have you figured out whats going on?

The first time the apprentice returned to the client was about 2 hours and 10 minutes after he had set the clock at six.The long had moved olny from twelve to a little past two. The little made two whole circles and an additional 10 minutes. Thus the clock showed the correct time.

The next day around 7:o5 a.m.he came a second time,13 hours and 15 minutes after he had set the clock for six. The long had, acting as the hour hand,covered 13 hours to reach 1. The short hand made 13 full circles and 5 minutes, reaching 7, So the clock showed the correct time again.

#### Math riddles

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When the riders were 180 miles apart, a fly took an interest. Starting on one cyclists shoulder, the fly flew ahead to meet the other cyclist. After reaching him the fly then turned around and yet back.�

The restless fly continued to shuttleback and fourth until the pair met; then settled on the nose of one rider.

The flys speed was 30 mph. Each cyclist speed was 15 mph.

How many miles did the fly travel?

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How long is the bird?

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Then what does the stopper cost?

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So tell us then, How old he was when Dean was ten?

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In how many minutes will the bath be filled?

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Answer: 50 X 101=5,050.

Now find the sum of all the digits in integers from 1 through 1,000,000,000.

That's all the digits in all the numbers, not all the numbers themselves.

999,999,999 and 0;

999,999,998 and 1'

999,999,997 and 2;

and so on....

There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then:

(500,000,000 X 81) + 1= 40,500,000,001.

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How long do the pills last you?

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How many brothers and sisters are there in the family?

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85 had a white hand bag;

75 had black shoes;

60 carried an umbrella;

90 wore a ring;

How many ladies must have had all four items?

Divide by 3. All the ladies had three items. The remainder shows the number of ladies who had 4.

85

75

60

90

______

310 / 3 = 100 + 10 remainder

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How much did the potatoes weigh?

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The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3.

Now find the answer for 4 numbers and for 5 numbers.

1 + 1 + 2 + 4= 1 x 1 x 2 x 4.

Solution for 5 numbers:

1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4�

1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4

1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

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But the goalkeeper grew smaller and smaller and then changed into a ping-pong ball while the soccer ball was swelled up into a huge cast-iron ball. The iron ball circled round madly, trying to crush the ping-pong ball, how did the ping-pong find safety whithout leaving the floor?

Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall.

A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.

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(7) 9 + 8 + 7 + 65 + 4 + 3 + 2 + 1= 99

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(B) Five 3s can express 37: �37=33+3+3/3

Find another way to do it.

(C) Use six identical dgits to make 100. (Several solutions are possible.)

(D) Use five 4s to make 55.

(E) Use four 9s to make 20.

(B) 37=333/3X3; 37=3 X 3 X 3 + 3/.3

(C) 99 + 99/99; 55+55- 5- 5; (666-66)/6

(D) 44 + 44/4=55.

(E) 9 + 99/9=20.

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Benjamin is 36. How old is Edward?

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How many men did the officer have?

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( �- �) �+ �+ �- �- �- �= �100

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12 - 2 = 10

� 5 x 2 = 10

20 � 2 = 10

45

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How far do they walk and at what time do they reach the top of the hill?

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Use the digits above once each only to compose two fractions which when added togeather equal 1.

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How far is Morocco?

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In how many minutes, to the nearest minutes, to the nearest minute, will the alarm clock show noon?

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(A). �A bus leaves Moscow for Tula at noon. An hour later a cyclist leaves Tula for mosco, moving slower than the bus. When the bus and cyclist meet, which one of the two will be farther from Moscow?

(B). Which is worth more: a pound of $10 gold peices or half a pound of $20 gold pieces?

(C). At six o'clock the wall clock struck 6 times. Checking with my watch, I noticed the time between the first and last strokes was 30 seconds. How long will the clock take to strike 12 at midnight?

(D). Three swallows fly outward from a point. When will they all be on the same plane in space?

Now check the answers. Did you fall into any of the traps which lurk in these simple problems?

(B). A pound of metal is always more than half a pound of the same metal.

(C). Six strokes took 30 seconds, therefore 12 strokes will take 60 seconds. But when the clock struck six, there were only 5 intervals between strokes, and each interval was 30/5=6 seconds. Between the first and twelfth strokes there will be 11 intervals of 6 seconds each, therefore 12 strokes will take 66 seconds.

(D). There is always a plane that contains any 3 points

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What is the value of each barrel of wine and what is the duty payable?

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6 5 9 2 7

1 4 3 5 ?

8 0 2 8 1

� 65, 927

+ 14, 354

� 80, 281

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How did I do this even though I had no watch on me to tell how long it took me to return from my friend's house?

Subtracting the time of the visit from the time I was absent from my house, and dividing by 2, I obtained the time it took me to return home. I added this time to what my friend watch showed when I left, and set the sum on my wall clock.

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What are �the ages of the children?

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