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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 532 · 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. 1.37 × 3 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 36 =
  4. 4.1234567 × 9 + 8 =
  5. 5.12345679 × 18 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 72 =
  8. 8.123 × 9 + 4 =
  9. 9.11 × 11 =
  10. 10.37 × 18 =
  11. 11.1234567 × 8 + 7 =
  12. 12.37 × 15 =
  13. 13.37 × 24 =
  14. 14.37 × 12 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 6 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 63 =
  19. 19.11111 × 11111 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 9 =
  23. 23.12345679 × 27 =
  24. 24.12 × 9 + 3 =
  25. 25.12345679 × 54 =
  26. 26.37 × 21 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 9 =
  29. 29.1234 × 9 + 5 =
  30. 30.123 × 8 + 3 =
  31. 31.111111 × 111111 =
  32. 32.12345678 × 9 + 9 =
  33. 33.111 × 111 =
  34. 34.12345679 × 45 =
  35. 35.111 × 111 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 45 =
  39. 39.37 × 27 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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