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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 184 · 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 × 9 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 72 =
  5. 5.12345679 × 27 =
  6. 6.111 × 111 =
  7. 7.37 × 27 =
  8. 8.12 × 8 + 2 =
  9. 9.123456 × 8 + 6 =
  10. 10.1111 × 1111 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 18 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 18 =
  15. 15.37 × 15 =
  16. 16.37 × 6 =
  17. 17.37 × 24 =
  18. 18.123 × 9 + 4 =
  19. 19.37 × 12 =
  20. 20.12345679 × 45 =
  21. 21.111111 × 111111 =
  22. 22.12 × 9 + 3 =
  23. 23.12345 × 9 + 6 =
  24. 24.37 × 9 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 63 =
  27. 27.12345678 × 8 + 8 =
  28. 28.11 × 11 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456 × 9 + 7 =
  31. 31.11 × 11 =
  32. 32.12345679 × 81 =
  33. 33.1234 × 8 + 4 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 21 =
  37. 37.1234 × 9 + 5 =
  38. 38.12345678 × 8 + 8 =
  39. 39.1234567 × 9 + 8 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 111111111
  2. 123454321
  3. 666666666
  4. 888888888
  5. 333333333
  6. 12321
  7. 999
  8. 98
  9. 987654
  10. 1234321
  11. 987654321
  12. 666
  13. 444444444
  14. 222222222
  15. 555
  16. 222
  17. 888
  18. 1111
  19. 444
  20. 555555555
  21. 12345654321
  22. 111
  23. 111111
  24. 333
  25. 987
  26. 777777777
  27. 98765432
  28. 121
  29. 98765
  30. 1111111
  31. 121
  32. 999999999
  33. 9876
  34. 9876543
  35. 111111111
  36. 777
  37. 11111
  38. 98765432
  39. 11111111
  40. 987654

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