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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 377 · 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. 2.123 × 8 + 3 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 36 =
  5. 5.12345679 × 27 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345679 × 9 =
  8. 8.1234 × 8 + 4 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 9 + 6 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345679 × 72 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 81 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 6 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12345679 × 18 =
  19. 19.11 × 11 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 54 =
  22. 22.1234567 × 9 + 8 =
  23. 23.37 × 21 =
  24. 24.111 × 111 =
  25. 25.37 × 3 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 24 =
  28. 28.12345679 × 63 =
  29. 29.37 × 27 =
  30. 30.37 × 24 =
  31. 31.37 × 15 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 18 =
  35. 35.1234 × 9 + 5 =
  36. 36.37 × 24 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 9 =
  39. 39.12 × 9 + 3 =
  40. 40.12345679 × 81 =

Answer key

  1. 1234321
  2. 987
  3. 123454321
  4. 444444444
  5. 333333333
  6. 987654
  7. 111111111
  8. 9876
  9. 111
  10. 111111
  11. 1111111
  12. 888888888
  13. 9876543
  14. 999999999
  15. 1111
  16. 222
  17. 111111111
  18. 222222222
  19. 121
  20. 12345654321
  21. 666666666
  22. 11111111
  23. 777
  24. 12321
  25. 111
  26. 987654321
  27. 888
  28. 777777777
  29. 999
  30. 888
  31. 555
  32. 98765432
  33. 98
  34. 666
  35. 11111
  36. 888
  37. 98765
  38. 333
  39. 111
  40. 999999999

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