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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 371 · 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. 2.12345679 × 36 =
  3. 3.1234 × 8 + 4 =
  4. 4.123456 × 9 + 7 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 45 =
  7. 7.12345679 × 63 =
  8. 8.123 × 8 + 3 =
  9. 9.37 × 3 =
  10. 10.37 × 12 =
  11. 11.37 × 9 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 18 =
  14. 14.123456789 × 8 + 9 =
  15. 15.37 × 6 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 21 =
  19. 19.37 × 24 =
  20. 20.12345679 × 72 =
  21. 21.12 × 9 + 3 =
  22. 22.11111 × 11111 =
  23. 23.111111 × 111111 =
  24. 24.111 × 111 =
  25. 25.1234567 × 8 + 7 =
  26. 26.1234 × 9 + 5 =
  27. 27.12345679 × 27 =
  28. 28.37 × 15 =
  29. 29.12345679 × 54 =
  30. 30.12345679 × 81 =
  31. 31.12345679 × 45 =
  32. 32.37 × 21 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 18 =
  35. 35.37 × 27 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123 × 9 + 4 =
  38. 38.11 × 11 =
  39. 39.123 × 9 + 4 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 111111111
  2. 444444444
  3. 9876
  4. 1111111
  5. 98
  6. 555555555
  7. 777777777
  8. 987
  9. 111
  10. 444
  11. 333
  12. 1234321
  13. 222222222
  14. 987654321
  15. 222
  16. 98765
  17. 111111
  18. 777
  19. 888
  20. 888888888
  21. 111
  22. 123454321
  23. 12345654321
  24. 12321
  25. 9876543
  26. 11111
  27. 333333333
  28. 555
  29. 666666666
  30. 999999999
  31. 555555555
  32. 777
  33. 11111111
  34. 666
  35. 999
  36. 98765432
  37. 1111
  38. 121
  39. 1111
  40. 987654

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