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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 626 · 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 × 72 =
  2. 2.12345678 × 9 + 9 =
  3. 3.11111 × 11111 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12 × 9 + 3 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 81 =
  9. 9.12345 × 8 + 5 =
  10. 10.11 × 11 =
  11. 11.37 × 18 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.12345679 × 63 =
  15. 15.111111 × 111111 =
  16. 16.123 × 9 + 4 =
  17. 17.12345679 × 36 =
  18. 18.12345679 × 27 =
  19. 19.123456 × 8 + 6 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 45 =
  22. 22.12345679 × 9 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 18 =
  25. 25.1234 × 8 + 4 =
  26. 26.37 × 3 =
  27. 27.1234 × 9 + 5 =
  28. 28.1111 × 1111 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.123456789 × 8 + 9 =
  32. 32.111 × 111 =
  33. 33.37 × 21 =
  34. 34.37 × 27 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 9 =
  37. 37.37 × 12 =
  38. 38.37 × 6 =
  39. 39.1111 × 1111 =
  40. 40.37 × 24 =

Answer key

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

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