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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 115 · 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 × 8 + 3 =
  2. 2.12 × 9 + 3 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 18 =
  5. 5.12345679 × 81 =
  6. 6.12345678 × 9 + 9 =
  7. 7.1111 × 1111 =
  8. 8.11111 × 11111 =
  9. 9.111111 × 111111 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 12 =
  12. 12.123 × 9 + 4 =
  13. 13.12345 × 9 + 6 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345679 × 72 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 9 =
  20. 20.11 × 11 =
  21. 21.1234567 × 8 + 7 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 27 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 54 =
  26. 26.111 × 111 =
  27. 27.12345679 × 63 =
  28. 28.12 × 8 + 2 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345679 × 36 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 9 =
  33. 33.12345679 × 9 =
  34. 34.37 × 24 =
  35. 35.37 × 21 =
  36. 36.37 × 15 =
  37. 37.37 × 6 =
  38. 38.37 × 27 =
  39. 39.12345679 × 36 =
  40. 40.12345679 × 45 =

Answer key

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

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