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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 454 · 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. 2.11 × 11 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 6 =
  5. 5.37 × 21 =
  6. 6.12345679 × 36 =
  7. 7.111 × 111 =
  8. 8.12345 × 9 + 6 =
  9. 9.37 × 18 =
  10. 10.12345 × 8 + 5 =
  11. 11.123456 × 8 + 6 =
  12. 12.1234567 × 9 + 8 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 27 =
  15. 15.123 × 9 + 4 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 81 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 12 =
  20. 20.37 × 9 =
  21. 21.1111 × 1111 =
  22. 22.12345678 × 8 + 8 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 18 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 45 =
  27. 27.37 × 3 =
  28. 28.1234567 × 8 + 7 =
  29. 29.37 × 15 =
  30. 30.12345679 × 63 =
  31. 31.37 × 27 =
  32. 32.37 × 24 =
  33. 33.12345679 × 54 =
  34. 34.11111 × 11111 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 12 =
  37. 37.12 × 9 + 3 =
  38. 38.37 × 12 =
  39. 39.37 × 6 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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