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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 277 · 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. 1.1234567 × 8 + 7 =
  2. 2.12345678 × 9 + 9 =
  3. 3.111 × 111 =
  4. 4.37 × 24 =
  5. 5.12345 × 9 + 6 =
  6. 6.123456 × 8 + 6 =
  7. 7.11 × 11 =
  8. 8.37 × 21 =
  9. 9.37 × 9 =
  10. 10.111111 × 111111 =
  11. 11.11111 × 11111 =
  12. 12.1234 × 8 + 4 =
  13. 13.12345679 × 81 =
  14. 14.37 × 6 =
  15. 15.12345679 × 72 =
  16. 16.37 × 27 =
  17. 17.1111 × 1111 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 18 =
  20. 20.123456789 × 8 + 9 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345679 × 54 =
  23. 23.37 × 15 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 27 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 45 =
  29. 29.12345679 × 63 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 36 =
  32. 32.37 × 12 =
  33. 33.37 × 18 =
  34. 34.12345679 × 9 =
  35. 35.11111 × 11111 =
  36. 36.1234 × 9 + 5 =
  37. 37.123 × 8 + 3 =
  38. 38.12 × 9 + 3 =
  39. 39.37 × 27 =
  40. 40.12 × 9 + 3 =

Answer key

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

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