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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 30 · 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. 1.111 × 111 =
  2. 2.37 × 12 =
  3. 3.12 × 8 + 2 =
  4. 4.12345679 × 18 =
  5. 5.37 × 21 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 3 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 9 =
  10. 10.12345678 × 8 + 8 =
  11. 11.11 × 11 =
  12. 12.11111 × 11111 =
  13. 13.1234567 × 8 + 7 =
  14. 14.1234 × 8 + 4 =
  15. 15.37 × 6 =
  16. 16.12345679 × 63 =
  17. 17.37 × 18 =
  18. 18.12345678 × 9 + 9 =
  19. 19.123 × 9 + 4 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345679 × 36 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 72 =
  24. 24.111111 × 111111 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 27 =
  27. 27.37 × 15 =
  28. 28.12345679 × 54 =
  29. 29.37 × 9 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 45 =
  32. 32.123456 × 8 + 6 =
  33. 33.111 × 111 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 81 =
  37. 37.1234567 × 9 + 8 =
  38. 38.11 × 11 =
  39. 39.1234 × 8 + 4 =
  40. 40.111 × 111 =

Answer key

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

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