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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 158 · 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. 1.1111 × 1111 =
  2. 2.12345 × 8 + 5 =
  3. 3.11 × 11 =
  4. 4.37 × 18 =
  5. 5.12345679 × 72 =
  6. 6.123456789 × 8 + 9 =
  7. 7.123 × 9 + 4 =
  8. 8.37 × 3 =
  9. 9.37 × 9 =
  10. 10.123 × 8 + 3 =
  11. 11.111111 × 111111 =
  12. 12.12345679 × 63 =
  13. 13.12345679 × 27 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 18 =
  16. 16.123456 × 8 + 6 =
  17. 17.12345679 × 45 =
  18. 18.12345679 × 36 =
  19. 19.37 × 15 =
  20. 20.12345679 × 81 =
  21. 21.12 × 8 + 2 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345678 × 9 + 9 =
  24. 24.11111 × 11111 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 9 =
  27. 27.1234 × 9 + 5 =
  28. 28.37 × 21 =
  29. 29.111 × 111 =
  30. 30.12345 × 9 + 6 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 6 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 24 =
  35. 35.1234567 × 9 + 8 =
  36. 36.37 × 12 =
  37. 37.12345679 × 72 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345679 × 54 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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