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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 118 · 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. 1.12345678 × 9 + 9 =
  2. 2.37 × 24 =
  3. 3.37 × 6 =
  4. 4.111 × 111 =
  5. 5.12345 × 9 + 6 =
  6. 6.37 × 9 =
  7. 7.12345679 × 45 =
  8. 8.12345679 × 27 =
  9. 9.12 × 9 + 3 =
  10. 10.123456789 × 8 + 9 =
  11. 11.123 × 8 + 3 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345 × 8 + 5 =
  14. 14.12 × 8 + 2 =
  15. 15.11111 × 11111 =
  16. 16.1234567 × 8 + 7 =
  17. 17.37 × 3 =
  18. 18.111111 × 111111 =
  19. 19.123 × 9 + 4 =
  20. 20.12345678 × 8 + 8 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 9 =
  23. 23.37 × 27 =
  24. 24.12345679 × 72 =
  25. 25.1234567 × 9 + 8 =
  26. 26.11 × 11 =
  27. 27.37 × 15 =
  28. 28.37 × 18 =
  29. 29.12345679 × 63 =
  30. 30.37 × 21 =
  31. 31.12345679 × 18 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 54 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 36 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 12 =
  38. 38.111 × 111 =
  39. 39.12345679 × 81 =
  40. 40.1111 × 1111 =

Answer key

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

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