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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 106 · 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. 1.1234567 × 9 + 8 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 72 =
  4. 4.12345679 × 27 =
  5. 5.12345 × 8 + 5 =
  6. 6.111 × 111 =
  7. 7.12345679 × 9 =
  8. 8.37 × 12 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 36 =
  11. 11.37 × 27 =
  12. 12.1111 × 1111 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 18 =
  17. 17.123456789 × 8 + 9 =
  18. 18.11 × 11 =
  19. 19.12 × 8 + 2 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 6 =
  22. 22.11111 × 11111 =
  23. 23.37 × 15 =
  24. 24.12345679 × 45 =
  25. 25.1234 × 9 + 5 =
  26. 26.123 × 8 + 3 =
  27. 27.37 × 3 =
  28. 28.12345678 × 8 + 8 =
  29. 29.37 × 18 =
  30. 30.12345679 × 54 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 63 =
  33. 33.37 × 3 =
  34. 34.37 × 24 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 9 =
  37. 37.123456 × 9 + 7 =
  38. 38.1234567 × 8 + 7 =
  39. 39.1111 × 1111 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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