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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 242 · 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. 1.37 × 9 =
  2. 2.12 × 9 + 3 =
  3. 3.123 × 9 + 4 =
  4. 4.1234 × 8 + 4 =
  5. 5.1234567 × 8 + 7 =
  6. 6.11 × 11 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345678 × 9 + 9 =
  9. 9.37 × 3 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 63 =
  12. 12.111 × 111 =
  13. 13.12345 × 8 + 5 =
  14. 14.37 × 24 =
  15. 15.37 × 15 =
  16. 16.12345679 × 54 =
  17. 17.123456789 × 8 + 9 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 45 =
  23. 23.37 × 21 =
  24. 24.37 × 6 =
  25. 25.111111 × 111111 =
  26. 26.37 × 18 =
  27. 27.123456 × 9 + 7 =
  28. 28.11111 × 11111 =
  29. 29.37 × 27 =
  30. 30.12345678 × 8 + 8 =
  31. 31.123 × 8 + 3 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345679 × 27 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 81 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 18 =
  39. 39.37 × 12 =
  40. 40.37 × 15 =

Answer key

  1. 333
  2. 111
  3. 1111
  4. 9876
  5. 9876543
  6. 121
  7. 11111
  8. 111111111
  9. 111
  10. 98
  11. 777777777
  12. 12321
  13. 98765
  14. 888
  15. 555
  16. 666666666
  17. 987654321
  18. 1234321
  19. 111111111
  20. 999999999
  21. 888888888
  22. 555555555
  23. 777
  24. 222
  25. 12345654321
  26. 666
  27. 1111111
  28. 123454321
  29. 999
  30. 98765432
  31. 987
  32. 111111
  33. 333333333
  34. 11111111
  35. 999999999
  36. 987654
  37. 111111
  38. 222222222
  39. 444
  40. 555

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