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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 64 · 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. 1.1234 × 8 + 4 =
  2. 2.37 × 3 =
  3. 3.12 × 8 + 2 =
  4. 4.11111 × 11111 =
  5. 5.1234 × 9 + 5 =
  6. 6.11 × 11 =
  7. 7.12345 × 8 + 5 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 72 =
  11. 11.111 × 111 =
  12. 12.123 × 8 + 3 =
  13. 13.37 × 27 =
  14. 14.12345679 × 18 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 54 =
  17. 17.37 × 9 =
  18. 18.37 × 24 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 45 =
  21. 21.37 × 12 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 81 =
  24. 24.123456 × 9 + 7 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 21 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345679 × 27 =
  29. 29.1111 × 1111 =
  30. 30.12345679 × 36 =
  31. 31.12345679 × 63 =
  32. 32.37 × 6 =
  33. 33.37 × 18 =
  34. 34.111111 × 111111 =
  35. 35.1234567 × 8 + 7 =
  36. 36.37 × 15 =
  37. 37.123456 × 8 + 6 =
  38. 38.12345679 × 9 =
  39. 39.123 × 9 + 4 =
  40. 40.111 × 111 =

Answer key

  1. 9876
  2. 111
  3. 98
  4. 123454321
  5. 11111
  6. 121
  7. 98765
  8. 11111111
  9. 987654321
  10. 888888888
  11. 12321
  12. 987
  13. 999
  14. 222222222
  15. 111111111
  16. 666666666
  17. 333
  18. 888
  19. 111
  20. 555555555
  21. 444
  22. 111111111
  23. 999999999
  24. 1111111
  25. 1111
  26. 777
  27. 111111
  28. 333333333
  29. 1234321
  30. 444444444
  31. 777777777
  32. 222
  33. 666
  34. 12345654321
  35. 9876543
  36. 555
  37. 987654
  38. 111111111
  39. 1111
  40. 12321

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