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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 656 · 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. 2.37 × 6 =
  3. 3.1234 × 8 + 4 =
  4. 4.11 × 11 =
  5. 5.11111 × 11111 =
  6. 6.37 × 21 =
  7. 7.12345679 × 9 =
  8. 8.37 × 24 =
  9. 9.12 × 9 + 3 =
  10. 10.12 × 8 + 2 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 36 =
  13. 13.12345679 × 63 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345679 × 81 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 3 =
  18. 18.12345679 × 27 =
  19. 19.12345679 × 72 =
  20. 20.1234 × 9 + 5 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345 × 8 + 5 =
  23. 23.12345679 × 45 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 18 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 18 =
  28. 28.37 × 9 =
  29. 29.37 × 27 =
  30. 30.37 × 15 =
  31. 31.123 × 9 + 4 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 12 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345 × 9 + 6 =
  36. 36.1111 × 1111 =
  37. 37.111111 × 111111 =
  38. 38.123456 × 8 + 6 =
  39. 39.1234 × 8 + 4 =
  40. 40.111 × 111 =

Answer key

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

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