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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 648 · 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 × 9 + 4 =
  2. 2.12345 × 9 + 6 =
  3. 3.12345679 × 27 =
  4. 4.1234567 × 9 + 8 =
  5. 5.37 × 3 =
  6. 6.1111 × 1111 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 45 =
  9. 9.111111 × 111111 =
  10. 10.12 × 9 + 3 =
  11. 11.11 × 11 =
  12. 12.123 × 8 + 3 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 72 =
  15. 15.37 × 18 =
  16. 16.37 × 21 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 24 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 9 + 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 9 =
  23. 23.111 × 111 =
  24. 24.12345679 × 63 =
  25. 25.37 × 6 =
  26. 26.123456 × 8 + 6 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 18 =
  29. 29.12345679 × 36 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345679 × 81 =
  32. 32.1234 × 9 + 5 =
  33. 33.37 × 15 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 54 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 9 =
  38. 38.37 × 18 =
  39. 39.37 × 24 =
  40. 40.37 × 27 =

Answer key

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

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