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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 188 · 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 × 45 =
  2. 2.1234567 × 9 + 8 =
  3. 3.1111 × 1111 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 63 =
  6. 6.12345679 × 72 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 9 =
  9. 9.123 × 9 + 4 =
  10. 10.123456789 × 8 + 9 =
  11. 11.11 × 11 =
  12. 12.12345679 × 18 =
  13. 13.12345679 × 27 =
  14. 14.37 × 21 =
  15. 15.37 × 18 =
  16. 16.111111 × 111111 =
  17. 17.111 × 111 =
  18. 18.37 × 24 =
  19. 19.37 × 27 =
  20. 20.1234 × 8 + 4 =
  21. 21.11111 × 11111 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 81 =
  24. 24.37 × 9 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 6 =
  27. 27.123456 × 9 + 7 =
  28. 28.37 × 15 =
  29. 29.37 × 12 =
  30. 30.12345678 × 9 + 9 =
  31. 31.111 × 111 =
  32. 32.1234567 × 8 + 7 =
  33. 33.123456 × 8 + 6 =
  34. 34.123 × 8 + 3 =
  35. 35.37 × 6 =
  36. 36.37 × 3 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 36 =
  39. 39.12345679 × 54 =
  40. 40.37 × 3 =

Answer key

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

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