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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 401 · 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. 1.12345678 × 9 + 9 =
  2. 2.11111 × 11111 =
  3. 3.37 × 27 =
  4. 4.37 × 18 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345679 × 45 =
  7. 7.37 × 6 =
  8. 8.111 × 111 =
  9. 9.1234567 × 8 + 7 =
  10. 10.123 × 8 + 3 =
  11. 11.12345 × 9 + 6 =
  12. 12.123 × 9 + 4 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 3 =
  15. 15.12345679 × 36 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 63 =
  19. 19.37 × 15 =
  20. 20.123456 × 9 + 7 =
  21. 21.111111 × 111111 =
  22. 22.37 × 24 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 54 =
  25. 25.1111 × 1111 =
  26. 26.37 × 21 =
  27. 27.12 × 8 + 2 =
  28. 28.12 × 9 + 3 =
  29. 29.12345679 × 81 =
  30. 30.37 × 9 =
  31. 31.11 × 11 =
  32. 32.12345679 × 27 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 72 =
  35. 35.12345678 × 8 + 8 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 45 =
  39. 39.123456 × 8 + 6 =
  40. 40.37 × 24 =

Answer key

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

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