Solve Mathematics questions using tricks

Solve Mathematics questions using tricks for students:
1. 10 * 10 = 100

2. 11 * 11 = 121

3. 12 * 12 = 144

4. 13 * 13 = 169

5. 14 * 14 = 196

6. 15 * 15 = 225

7. 16 * 16 = 256

8. 17 * 17 =  289

9. 18 * 18 = 324

10. 19 * 19 = 361 The answers of above is three digit number :

Up-to 19 we can use,
Trick :- From above we can conclude that for example
11 * 11
for digit at unit place take last digit of 11 that is 1 take square of it  which is 1
for digit at tens place take again last digit of 11 then add last digit i.e. 1+1 =2 and
for digit at hundreds place take digit at tens place from 11 i.e. 1
So answer is 121

Similarly for 12 and 13.


for numbers 14, 15, 16, 17, 18, 19:
17 * 17
for digit at unit place take last digit of 17 that is 7 take square of it  which is 49 form where carry 4 and consider only 9
for digit at tens place take again last digit of 17 then add last digit i.e. 7 + 7 = 14 add carry to it
14 + 4 = 18 from where carry 1 and consider only 8
for digit at hundreds place take digit at tens place from 17 i.e. 1 add carry to it 1 + 1 = 2
So answer is 289

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