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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 55 · 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. 1.111111 × 111111 =
  2. 2.1234 × 9 + 5 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 27 =
  5. 5.12345678 × 8 + 8 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 3 =
  8. 8.123 × 9 + 4 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 81 =
  11. 11.11111 × 11111 =
  12. 12.111 × 111 =
  13. 13.123456789 × 8 + 9 =
  14. 14.12345679 × 63 =
  15. 15.37 × 21 =
  16. 16.11 × 11 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 12 =
  19. 19.37 × 6 =
  20. 20.37 × 24 =
  21. 21.12345679 × 72 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 45 =
  24. 24.37 × 15 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 54 =
  27. 27.12 × 9 + 3 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 45 =
  30. 30.37 × 18 =
  31. 31.12345678 × 9 + 9 =
  32. 32.37 × 9 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.37 × 27 =
  39. 39.37 × 27 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 12345654321
  2. 11111
  3. 222222222
  4. 333333333
  5. 98765432
  6. 9876
  7. 111
  8. 1111
  9. 1234321
  10. 999999999
  11. 123454321
  12. 12321
  13. 987654321
  14. 777777777
  15. 777
  16. 121
  17. 98765
  18. 444
  19. 222
  20. 888
  21. 888888888
  22. 98
  23. 555555555
  24. 555
  25. 987
  26. 666666666
  27. 111
  28. 987654
  29. 555555555
  30. 666
  31. 111111111
  32. 333
  33. 1111111
  34. 111111
  35. 444444444
  36. 111111111
  37. 9876543
  38. 999
  39. 999
  40. 11111

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