I am a 1-digit number. The ones place digits of my square and my cube are the same as my own ones place digit. What number am I?

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Solution

Number

Units place digit of square

Units place digit of cube

0

0

0

1,-1

1,1

1, 1

2,-2

4,4

8, 8

3,-3

9,9

7, 7

4,-4

6,6

4, 4

5,-5

5,5

5, 5

6,-6

6,6

6, 6

7,-7

9,9

3, 3

8,-8

4, 4

2, 2

9,-9

1, 1

9, 9

So, 1-digit numbers could be 0, 1,-1, 5,-5, 6,-6, which have the same units place digits for squares and cubes.

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Similar questions

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The ones digit of my square is half of my ones digit, and the ones digit at my cube is one fourth of the same. What number am I?

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Number	Units place digit of square	Units place digit of cube
0	0	0
1,-1	1,1	1, 1
2,-2	4,4	8, 8
3,-3	9,9	7, 7
4,-4	6,6	4, 4
5,-5	5,5	5, 5
6,-6	6,6	6, 6
7,-7	9,9	3, 3
8,-8	4, 4	2, 2
9,-9	1, 1	9, 9