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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 466 · 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. 1.12 × 9 + 3 =
  2. 2.12345678 × 9 + 9 =
  3. 3.1234 × 9 + 5 =
  4. 4.123456 × 8 + 6 =
  5. 5.1111 × 1111 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 24 =
  8. 8.12345 × 9 + 6 =
  9. 9.37 × 3 =
  10. 10.11111 × 11111 =
  11. 11.111 × 111 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 81 =
  16. 16.12 × 8 + 2 =
  17. 17.111111 × 111111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 21 =
  22. 22.12345 × 8 + 5 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 9 =
  25. 25.37 × 6 =
  26. 26.1234567 × 8 + 7 =
  27. 27.11 × 11 =
  28. 28.123 × 9 + 4 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 72 =
  31. 31.37 × 27 =
  32. 32.12345679 × 63 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 18 =
  35. 35.37 × 12 =
  36. 36.12345679 × 18 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 9 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 27 =

Answer key

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

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