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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 441 · 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. 1.1234 × 9 + 5 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 27 =
  4. 4.37 × 18 =
  5. 5.37 × 3 =
  6. 6.12345679 × 72 =
  7. 7.1111 × 1111 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 24 =
  10. 10.11 × 11 =
  11. 11.111111 × 111111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.37 × 12 =
  14. 14.37 × 9 =
  15. 15.123456 × 8 + 6 =
  16. 16.1234 × 8 + 4 =
  17. 17.37 × 15 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 21 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345679 × 54 =
  22. 22.12 × 9 + 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.1234567 × 8 + 7 =
  25. 25.11111 × 11111 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345678 × 9 + 9 =
  28. 28.12345679 × 18 =
  29. 29.12345679 × 9 =
  30. 30.111 × 111 =
  31. 31.37 × 6 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 27 =
  35. 35.111 × 111 =
  36. 36.11 × 11 =
  37. 37.12345679 × 45 =
  38. 38.12345679 × 63 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 15 =

Answer key

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

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