Transcript Puzzles - Raise Smart Kids

Arithmetic Puzzles
Created by Inna Shapiro ©2008
Problem 1
Please, replace the “#” and “&”
symbols with digits
##
+ # &
197
Answer
99
+ 9 8
197
Problem 2
Please, replace the “#” and “&”
symbols with digits
1###
&&&
1
Answer
-
1000
999
1
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 same
as right to left).
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
Problem 4
Please, replace letters with digits
BDCE
+ B DAE
AECBE
Answer
5240
+5 2 1 0
10450
Problem 5
Please, replace letters with digits
a52b
- b 2 5 a
8cdc
Answer
-
9521
1259
8262
Problem 6
How can you replace “#” and “&”
symbols?
1. #### + 1 = 1&&&&
2. 1&&&&&& - 1 = ######
Answers
1. 9999 + 1 = 10000
2. 1000000 – 1 = 999999
Problem 7
Can you change letters ‘a’ and ‘b’ to digits?
b
aaaa
+aaaa
aaaa
baaaa
Answer
2
9999
+9999
9999
29999
Problem 8
Please, replace letters with digits to
get the correct answer
7abcdef : 5 = abcdef7
Answer
714285 : 5 = 142857
Problem 9
Max wrote two-digit number. Then
he inserted 0 between the two
digits. The result is nine times
greater than original number.
What was the original number?
Answer
The original number is 45, when
Max added 0 he got 405,
45 * 9 = 405
Problem 10
Please add arithmetic signs and
parenthesis to get correct answers:
5555=3
5555=4
5555=5
5555=6
5555=7
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