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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 195 · 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 × 36 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 27 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 81 =
  6. 6.11 × 11 =
  7. 7.37 × 6 =
  8. 8.37 × 15 =
  9. 9.37 × 21 =
  10. 10.123456 × 8 + 6 =
  11. 11.123456 × 9 + 7 =
  12. 12.123 × 8 + 3 =
  13. 13.37 × 27 =
  14. 14.11111 × 11111 =
  15. 15.1234567 × 9 + 8 =
  16. 16.37 × 3 =
  17. 17.111 × 111 =
  18. 18.12 × 9 + 3 =
  19. 19.12 × 8 + 2 =
  20. 20.12345679 × 45 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 18 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 9 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345 × 8 + 5 =
  27. 27.123 × 9 + 4 =
  28. 28.37 × 9 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345679 × 63 =
  32. 32.37 × 12 =
  33. 33.12345679 × 27 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 72 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 27 =
  38. 38.37 × 24 =
  39. 39.12345679 × 54 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 444444444
  2. 1234321
  3. 333333333
  4. 12345654321
  5. 999999999
  6. 121
  7. 222
  8. 555
  9. 777
  10. 987654
  11. 1111111
  12. 987
  13. 999
  14. 123454321
  15. 11111111
  16. 111
  17. 12321
  18. 111
  19. 98
  20. 555555555
  21. 987654321
  22. 666
  23. 111111
  24. 111111111
  25. 9876543
  26. 98765
  27. 1111
  28. 333
  29. 111111111
  30. 98765432
  31. 777777777
  32. 444
  33. 333333333
  34. 9876
  35. 888888888
  36. 11111
  37. 333333333
  38. 888
  39. 666666666
  40. 1111

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