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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 209 · 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 × 18 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345 × 9 + 6 =
  4. 4.111 × 111 =
  5. 5.12345679 × 27 =
  6. 6.123 × 8 + 3 =
  7. 7.37 × 6 =
  8. 8.12345679 × 9 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345678 × 8 + 8 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 9 + 7 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 63 =
  15. 15.37 × 9 =
  16. 16.12345679 × 81 =
  17. 17.12 × 8 + 2 =
  18. 18.1111 × 1111 =
  19. 19.11111 × 11111 =
  20. 20.37 × 18 =
  21. 21.37 × 3 =
  22. 22.11 × 11 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 72 =
  25. 25.37 × 15 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345679 × 54 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 45 =
  30. 30.37 × 24 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 12 =
  33. 33.37 × 27 =
  34. 34.123456 × 9 + 7 =
  35. 35.37 × 21 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345 × 8 + 5 =
  38. 38.111111 × 111111 =
  39. 39.123 × 9 + 4 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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