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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 494 · 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. 1.12345 × 8 + 5 =
  2. 2.12345678 × 9 + 9 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 9 =
  5. 5.12345 × 9 + 6 =
  6. 6.111111 × 111111 =
  7. 7.111 × 111 =
  8. 8.37 × 24 =
  9. 9.12345679 × 63 =
  10. 10.37 × 18 =
  11. 11.12 × 9 + 3 =
  12. 12.12345679 × 72 =
  13. 13.12345679 × 18 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 81 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 27 =
  20. 20.1111 × 1111 =
  21. 21.11 × 11 =
  22. 22.1234 × 8 + 4 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12 × 8 + 2 =
  25. 25.37 × 6 =
  26. 26.12345679 × 54 =
  27. 27.1234567 × 8 + 7 =
  28. 28.123456 × 9 + 7 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 45 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 27 =
  33. 33.12345679 × 9 =
  34. 34.37 × 12 =
  35. 35.37 × 27 =
  36. 36.11 × 11 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123456789 × 8 + 9 =
  39. 39.123 × 9 + 4 =
  40. 40.111 × 111 =

Answer key

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

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