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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 315 · 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. 2.37 × 6 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 18 =
  5. 5.37 × 27 =
  6. 6.37 × 24 =
  7. 7.12345679 × 9 =
  8. 8.11 × 11 =
  9. 9.123 × 9 + 4 =
  10. 10.12345678 × 8 + 8 =
  11. 11.123 × 8 + 3 =
  12. 12.12 × 8 + 2 =
  13. 13.12345679 × 27 =
  14. 14.37 × 3 =
  15. 15.37 × 21 =
  16. 16.123456789 × 8 + 9 =
  17. 17.111111 × 111111 =
  18. 18.37 × 15 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 12 =
  23. 23.123456 × 8 + 6 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 81 =
  26. 26.12 × 9 + 3 =
  27. 27.1234 × 9 + 5 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 36 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 45 =
  33. 33.1234 × 8 + 4 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 9 =
  36. 36.111 × 111 =
  37. 37.12345679 × 63 =
  38. 38.37 × 15 =
  39. 39.12345679 × 72 =
  40. 40.12 × 9 + 3 =

Answer key

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

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