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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 372 · 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. 2.123456 × 8 + 6 =
  3. 3.11 × 11 =
  4. 4.37 × 15 =
  5. 5.111 × 111 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.123 × 8 + 3 =
  9. 9.37 × 27 =
  10. 10.37 × 21 =
  11. 11.11111 × 11111 =
  12. 12.37 × 18 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 63 =
  15. 15.37 × 9 =
  16. 16.12345679 × 45 =
  17. 17.12345 × 8 + 5 =
  18. 18.12345679 × 18 =
  19. 19.12345678 × 8 + 8 =
  20. 20.111111 × 111111 =
  21. 21.1111 × 1111 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 72 =
  25. 25.37 × 3 =
  26. 26.123 × 9 + 4 =
  27. 27.1234567 × 9 + 8 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345679 × 54 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 81 =
  33. 33.123456 × 8 + 6 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 27 =
  36. 36.37 × 6 =
  37. 37.12345679 × 81 =
  38. 38.37 × 12 =
  39. 39.12345679 × 36 =
  40. 40.111 × 111 =

Answer key

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

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