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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 519 · 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 × 54 =
  2. 2.12345679 × 18 =
  3. 3.12345679 × 27 =
  4. 4.37 × 6 =
  5. 5.1234 × 9 + 5 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345678 × 9 + 9 =
  8. 8.1111 × 1111 =
  9. 9.37 × 24 =
  10. 10.12 × 9 + 3 =
  11. 11.12345679 × 9 =
  12. 12.37 × 18 =
  13. 13.37 × 21 =
  14. 14.37 × 3 =
  15. 15.11 × 11 =
  16. 16.37 × 15 =
  17. 17.111111 × 111111 =
  18. 18.111 × 111 =
  19. 19.12345679 × 72 =
  20. 20.12 × 8 + 2 =
  21. 21.37 × 12 =
  22. 22.123 × 8 + 3 =
  23. 23.123456 × 9 + 7 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345 × 8 + 5 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345678 × 8 + 8 =
  28. 28.37 × 9 =
  29. 29.37 × 27 =
  30. 30.12345679 × 81 =
  31. 31.11111 × 11111 =
  32. 32.12345 × 9 + 6 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 45 =
  36. 36.37 × 18 =
  37. 37.12345679 × 63 =
  38. 38.37 × 3 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 3 =

Answer key

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

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