8888ArithmeticPuzzles.9143343 8888

8/9/2019 8888ArithmeticPuzzles.9143343 8888

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Arithmetic Puzzles

Created by Inna Shapiro 2008


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Problem 1

Please, replace the # and &symbols with digits

# #

+

# &1 9 7


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Answer

9 9+ 9 8

1 9 7


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Problem 2

Please, replace the # and &symbols with digits

1 # # #

-

& & &1


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Answer

1 0 0 0- 9 9 9

1


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Problem 3

Please, replace each letter with a digit:aa + bcb = deed,

Note that each of those numbers is its

own mirror image (left to right is sameas right to left).


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Answer

We must find digits, so that the sum looks like

aa + bcb = deed.

Obviously d=1 and b=9 =>

aa + 9c9 = 1ee1, that means that a=2,

22 + 9c9 = 1ee1 => e=0 and c=7

22 + 979 = 1001


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Problem 4

Please, replace letters with digitsB D C E

+ B D A E

A E C B E


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Answer

5 2 4 0+ 5 2 1 0

1 0 4 5 0


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Problem 5

Please, replace letters with digitsa5 2 b

- b 2 5a

8 c d c


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Answer

9 5 2 1- 1 2 5 9

8 2 6 2


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Problem 6

How can you replace # and &symbols?

1. #### + 1 = 1&&&&2. 1&&&&&& - 1 = ######


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Answers

1. 9999 + 1 = 100002. 1000000 1 = 999999


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Problem 7

Can you change letters a and b to digits?

b

a a a a

+ a a a aa a a a

b a a a a


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Answer

29 9 9 9

+ 9 9 9 9

9 9 9 92 9 9 9 9


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Problem 8

Please, replace letters with digits toget the correct answer

7abcdef : 5 = abcdef7


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Answer

714285 : 5 = 142857


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Problem 9

Max wrote two-digit number. Thenhe inserted 0 between the two

digits. The result is nine times

greater than original number.

What was the original number?


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Answer

The original number is 45, whenMax added 0 he got 405,

45 * 9 = 405


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Problem 10

Please add arithmetic signs and

parenthesis to get correct answers:5555 = 3

5555 = 4

5555 = 5

5555 = 6

5555 = 7


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Answer

(5 + 5 + 5) : 5 = 3(5 * 5 5) : 5 = 4

(5 5) * 5 + 5 = 5

(5 * 5 + 5) : 5 = 6(5 + 5) : 5 + 5 = 7


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Egyptian MultiplicationThe Ancient Egyptians used a pencil and

paper method for multiplication which was

based on doubling and addition.


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18 x 53 usingEgyptian

MultiplicationWrite 1 and 53, meaning 1 lot of 53.1 53

2 106

4 2128 424

16 848

Work down, doubling the numbers, so

that youve now got 2, 4, 8, 16, etc. lots of

53.

Stop when the number of the left (16) is

more than half of the other numberyou

are multiplying (18).

Look for numbers on the left that add up

to 18 (2 and 16).

Cross out the other rows of numbers.

Add up the remaining numbers on the

right to get the final answer.

954


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1 76

2 152

76 x 39 usingEgyptian

MultiplicationWrite 1 and 76, meaning 1 lot of 76.

4 3048 608

16 1216

Work down, doubling the numbers, so

that youve now got 2, 4, 8, 16, etc. lots of

76.

Stop when the number of the left (32) is

more than half of the other numberyou

are multiplying (39).

Look for numbers on the left that add up

to 39 (1, 2, 4 and 32).

Cross out the other rows of numbers.

Add up the remaining numbers on the

right to get the final answer.

2964

32 2432


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Now its your turn!

This jar holds 17 litres of water.

How much water will 26 jars hold?

Apotter makes 35 pots each week.How many will he make in a year?

This chariot travels 23km in an hour.How far will it travel in 45 hours?


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Now its your turn!

A soldier marches 28km each day.

How far will he march in 38 days?

A chest holds 44 large gold coins.How many coins will 35 chests hold?

This boat carries 61 soldiers.

How many soldiers are there on 26boats?


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Maths Puzzles

Thinking caps on!


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Puzzle 1

Ifyou spell all the numbers starting at1 and working upwards, when you

write the letter a for the first time?

Not sure what I mean?

Write 1 as one

Write 2 as twoWrite 3 as three

Etc.

When is my first letter a?


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Puzzle 2

Move one number to make thefollowing calculation true:

101 102 = 1


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Puzzle 3

What mathematical symbol can beplaced between the numbers 5 and 9 toget a number that is bigger than 5 but

smaller than 9?

Example (that is wrong!):

5 + 9 = 14 (too big!)


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Puzzle 4

Ive drawn a triangle where everyangle is a square. What are theangles?

Think carefully about the wording of this one!


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Puzzle 5

Can you arrange the numbers 1 to 9 tomake a fraction that simplifies to athird?

An example (that doesnt work!):

1234/56789


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Puzzle 6

Ihave a quadrilateral.It has a pair ofparallel sides, a pair ofequal sidesand 2 pairs ofequal angles.

What, specifically, is my shape?


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Puzzle 7

A house was valued at 220,000. It hadfallen in price due to the credit crunchby 12%.

How much was the house worth before the credit

crunch?


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Puzzle 8

Igo on a journey to a friends and thenback again. Iaverage 50mph on theway there but only 40 mph on the way

back.

What is the average speed for my whole

journey?


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Puzzle 9

Simplifyfully the expression below

(x-a)(x-b)(x-c)(x-d)(x-y)(x-z)


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Puzzle 1

Use any mathematical process to makethese calculations correct

1 1 1 = 6

2 2 2 = 6

3 3 3 = 6

4 4 4 = 6

5 5 5 = 6

6 6 6 = 6

7 7 7 = 6

8 8 8 = 6

9 9 9 = 6


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Thanks to:

www.mathsisfun.com

www.mathsphere.co.uk

www.brainbashers.com


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END OF PRESENTATION

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