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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 365 · 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. 2.12345679 × 45 =
  3. 3.1234 × 8 + 4 =
  4. 4.37 × 9 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 81 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 36 =
  9. 9.1234567 × 8 + 7 =
  10. 10.37 × 27 =
  11. 11.37 × 6 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 63 =
  14. 14.12345679 × 9 =
  15. 15.37 × 15 =
  16. 16.111 × 111 =
  17. 17.11 × 11 =
  18. 18.123456789 × 8 + 9 =
  19. 19.11111 × 11111 =
  20. 20.37 × 24 =
  21. 21.12345679 × 72 =
  22. 22.111111 × 111111 =
  23. 23.123456 × 8 + 6 =
  24. 24.1234 × 9 + 5 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 54 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345 × 9 + 6 =
  29. 29.37 × 21 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 18 =
  32. 32.12345679 × 27 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 3 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 12 =
  37. 37.12 × 9 + 3 =
  38. 38.123 × 9 + 4 =
  39. 39.12 × 8 + 2 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 1234321
  2. 555555555
  3. 9876
  4. 333
  5. 111
  6. 999999999
  7. 98765432
  8. 444444444
  9. 9876543
  10. 999
  11. 222
  12. 98765
  13. 777777777
  14. 111111111
  15. 555
  16. 12321
  17. 121
  18. 987654321
  19. 123454321
  20. 888
  21. 888888888
  22. 12345654321
  23. 987654
  24. 11111
  25. 11111111
  26. 666666666
  27. 1111111
  28. 111111
  29. 777
  30. 1111
  31. 666
  32. 333333333
  33. 987
  34. 111
  35. 1111111
  36. 444
  37. 111
  38. 1111
  39. 98
  40. 1111

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