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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 178 · 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. 1.37 × 3 =
  2. 2.123456789 × 8 + 9 =
  3. 3.37 × 27 =
  4. 4.11111 × 11111 =
  5. 5.12 × 9 + 3 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 36 =
  9. 9.37 × 6 =
  10. 10.37 × 21 =
  11. 11.111 × 111 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 12 =
  14. 14.123 × 8 + 3 =
  15. 15.111111 × 111111 =
  16. 16.12345679 × 63 =
  17. 17.12345 × 8 + 5 =
  18. 18.12345679 × 81 =
  19. 19.123456 × 9 + 7 =
  20. 20.11 × 11 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12345679 × 72 =
  23. 23.12345679 × 27 =
  24. 24.12345679 × 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345679 × 18 =
  27. 27.37 × 15 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12 × 8 + 2 =
  30. 30.12345679 × 45 =
  31. 31.12345678 × 9 + 9 =
  32. 32.37 × 9 =
  33. 33.37 × 18 =
  34. 34.1111 × 1111 =
  35. 35.37 × 24 =
  36. 36.1234567 × 9 + 8 =
  37. 37.1234 × 8 + 4 =
  38. 38.1234 × 9 + 5 =
  39. 39.37 × 3 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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