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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 22 · 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. 1.12345679 × 18 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 3 =
  4. 4.1111 × 1111 =
  5. 5.111111 × 111111 =
  6. 6.1234 × 9 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 63 =
  9. 9.37 × 15 =
  10. 10.12345679 × 27 =
  11. 11.37 × 6 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 9 =
  14. 14.12345 × 9 + 6 =
  15. 15.11 × 11 =
  16. 16.37 × 9 =
  17. 17.12345679 × 36 =
  18. 18.123 × 9 + 4 =
  19. 19.12345679 × 72 =
  20. 20.37 × 18 =
  21. 21.12 × 9 + 3 =
  22. 22.123456 × 9 + 7 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 12 =
  25. 25.37 × 24 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12345678 × 8 + 8 =
  28. 28.37 × 21 =
  29. 29.111111 × 111111 =
  30. 30.11111 × 11111 =
  31. 31.12345678 × 9 + 9 =
  32. 32.111 × 111 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 45 =
  36. 36.123456789 × 8 + 9 =
  37. 37.37 × 27 =
  38. 38.12345 × 8 + 5 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 27 =

Answer key

  1. 222222222
  2. 98
  3. 111
  4. 1234321
  5. 12345654321
  6. 11111
  7. 987
  8. 777777777
  9. 555
  10. 333333333
  11. 222
  12. 11111111
  13. 111111111
  14. 111111
  15. 121
  16. 333
  17. 444444444
  18. 1111
  19. 888888888
  20. 666
  21. 111
  22. 1111111
  23. 987654
  24. 444
  25. 888
  26. 9876543
  27. 98765432
  28. 777
  29. 12345654321
  30. 123454321
  31. 111111111
  32. 12321
  33. 999999999
  34. 666666666
  35. 555555555
  36. 987654321
  37. 999
  38. 98765
  39. 12345654321
  40. 333333333

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