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5. Look at the pattern

1221 + 5445 + 6996 = 2112 + 3663 + 7887
Can you find other such patterns?
6. Take a number 3444. Can you make a Kaprekar constant for 4 digits? If yes, can you make the Kaprekar
constant with the number 2222? If not, find out the reason why it fails.
7. Take the number 29 and apply the Collatz conjecture to get the result 4 – 2 – 1.

maths fun
Solve the following crossword puzzle using the clues given below.
1. 2. 3. 4. 5.
6.
7. 8. 9.
10. 11.
12. 13. 14.
15. 16.
17. 18. 19. 20.
21.
22. 23.

Across Down
1. 111, 222, 333, ..., 555, 666 1. 471 – 0
4. 67 + 85 + 29 2. (93 × 5 ) + 0
6. (25 × 6) × 4 3. 1000, ..., 1014, 1021, 1028
7. 25, 50, 75, 100, ..., 150 4. 200 – 4
8. 164 × 4 5. 29 × 4
10. (250 × 2) – 25 9. 490, 495, 500, 505, 510, ...
12. 750 × 5 10. 102 + 204 + 102
14. 20 × 30 + 656 11. (107 + 226) + 184
15. 444 + 179 + 204 13. 252 + 531
17. 211 – 79 16. 2000, 2010, ..., 2030
19. 100, 105, 110, 115, 120, ... 17. (10 × 10) + 11
21. 250, 252, 255, 259, 264, ... 18. 2 × 5 × 25
22. 407 – 257 19. 27 × 4
23. 1599 – 700 20. (428 + 517) – 426

Mental Maths

1. Write the smallest and greatest 3-digit numbers whose digit sum is 14.
2. Write any four numbers in the table such that the second smallest number becomes a supercell.

3. How many 2-digit numbers are palindromes?
4. Is 4-digit number – 4-digit number = 2-digit number? Give an example to justify your answer.
5. Can you express 86400 as an addition using the numbers 30000, 3000 and 300? If yes, write the expression.

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