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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 236 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.1111 × 1111 =
  2. 2.37 × 6 =
  3. 3.11111 × 11111 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 72 =
  7. 7.123 × 9 + 4 =
  8. 8.12345679 × 27 =
  9. 9.12345679 × 63 =
  10. 10.12345679 × 45 =
  11. 11.11 × 11 =
  12. 12.37 × 27 =
  13. 13.12 × 8 + 2 =
  14. 14.12345679 × 18 =
  15. 15.12345 × 8 + 5 =
  16. 16.12 × 9 + 3 =
  17. 17.12345678 × 8 + 8 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345 × 9 + 6 =
  20. 20.37 × 15 =
  21. 21.111 × 111 =
  22. 22.37 × 3 =
  23. 23.123 × 8 + 3 =
  24. 24.123456789 × 8 + 9 =
  25. 25.123456 × 9 + 7 =
  26. 26.1234567 × 8 + 7 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 36 =
  29. 29.37 × 18 =
  30. 30.111111 × 111111 =
  31. 31.12345679 × 81 =
  32. 32.12345679 × 54 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 9 =
  35. 35.123456 × 9 + 7 =
  36. 36.1111 × 1111 =
  37. 37.1111 × 1111 =
  38. 38.37 × 12 =
  39. 39.37 × 24 =
  40. 40.11 × 11 =

Answer key

  1. 1234321
  2. 222
  3. 123454321
  4. 111111111
  5. 111111111
  6. 888888888
  7. 1111
  8. 333333333
  9. 777777777
  10. 555555555
  11. 121
  12. 999
  13. 98
  14. 222222222
  15. 98765
  16. 111
  17. 98765432
  18. 11111
  19. 111111
  20. 555
  21. 12321
  22. 111
  23. 987
  24. 987654321
  25. 1111111
  26. 9876543
  27. 987654
  28. 444444444
  29. 666
  30. 12345654321
  31. 999999999
  32. 666666666
  33. 11111111
  34. 333
  35. 1111111
  36. 1234321
  37. 1234321
  38. 444
  39. 888
  40. 121

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