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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 172 · 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. 1.12345679 × 45 =
  2. 2.37 × 3 =
  3. 3.12345679 × 36 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 63 =
  6. 6.11 × 11 =
  7. 7.12345678 × 8 + 8 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12345679 × 72 =
  10. 10.12345679 × 18 =
  11. 11.1234 × 8 + 4 =
  12. 12.12345678 × 9 + 9 =
  13. 13.37 × 24 =
  14. 14.1111 × 1111 =
  15. 15.37 × 12 =
  16. 16.111 × 111 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 54 =
  19. 19.37 × 9 =
  20. 20.1234 × 9 + 5 =
  21. 21.11111 × 11111 =
  22. 22.37 × 18 =
  23. 23.12345679 × 9 =
  24. 24.12 × 8 + 2 =
  25. 25.1234567 × 9 + 8 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 6 =
  28. 28.37 × 27 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 81 =
  31. 31.123 × 8 + 3 =
  32. 32.123 × 9 + 4 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 21 =
  35. 35.1234 × 9 + 5 =
  36. 36.123456 × 8 + 6 =
  37. 37.1234 × 8 + 4 =
  38. 38.123456789 × 8 + 9 =
  39. 39.1234567 × 9 + 8 =
  40. 40.123 × 8 + 3 =

Answer key

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

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