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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 478 · 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. 1.12345679 × 18 =
  2. 2.11 × 11 =
  3. 3.12345679 × 27 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 72 =
  6. 6.1111 × 1111 =
  7. 7.37 × 24 =
  8. 8.37 × 3 =
  9. 9.37 × 12 =
  10. 10.11111 × 11111 =
  11. 11.1234 × 9 + 5 =
  12. 12.37 × 9 =
  13. 13.123 × 9 + 4 =
  14. 14.1234 × 8 + 4 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 45 =
  17. 17.37 × 6 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345 × 8 + 5 =
  20. 20.37 × 27 =
  21. 21.111111 × 111111 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345678 × 9 + 9 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 63 =
  26. 26.37 × 15 =
  27. 27.12345679 × 9 =
  28. 28.111 × 111 =
  29. 29.1234567 × 9 + 8 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 21 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 6 =
  34. 34.12345679 × 81 =
  35. 35.37 × 24 =
  36. 36.1234567 × 8 + 7 =
  37. 37.123456 × 9 + 7 =
  38. 38.111 × 111 =
  39. 39.12345679 × 36 =
  40. 40.1234567 × 9 + 8 =

Answer key

  1. 222222222
  2. 121
  3. 333333333
  4. 98
  5. 888888888
  6. 1234321
  7. 888
  8. 111
  9. 444
  10. 123454321
  11. 11111
  12. 333
  13. 1111
  14. 9876
  15. 111
  16. 555555555
  17. 222
  18. 98765432
  19. 98765
  20. 999
  21. 12345654321
  22. 987654
  23. 111111111
  24. 987654321
  25. 777777777
  26. 555
  27. 111111111
  28. 12321
  29. 11111111
  30. 987
  31. 777
  32. 9876543
  33. 222
  34. 999999999
  35. 888
  36. 9876543
  37. 1111111
  38. 12321
  39. 444444444
  40. 11111111

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