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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 57 · 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. 1.123 × 9 + 4 =
  2. 2.12345 × 9 + 6 =
  3. 3.1234 × 8 + 4 =
  4. 4.12345679 × 72 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 63 =
  7. 7.123 × 8 + 3 =
  8. 8.12 × 8 + 2 =
  9. 9.1234 × 9 + 5 =
  10. 10.11111 × 11111 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 6 =
  13. 13.12345678 × 9 + 9 =
  14. 14.37 × 12 =
  15. 15.12345 × 8 + 5 =
  16. 16.11 × 11 =
  17. 17.123456 × 8 + 6 =
  18. 18.111 × 111 =
  19. 19.1234567 × 9 + 8 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 81 =
  22. 22.37 × 9 =
  23. 23.37 × 24 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 18 =
  27. 27.37 × 18 =
  28. 28.1234567 × 8 + 7 =
  29. 29.1234567 × 8 + 7 =
  30. 30.11111 × 11111 =
  31. 31.37 × 3 =
  32. 32.12345679 × 27 =
  33. 33.12345679 × 45 =
  34. 34.37 × 27 =
  35. 35.12345679 × 27 =
  36. 36.37 × 21 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 15 =
  40. 40.12345679 × 45 =

Answer key

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

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