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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 76 · 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. 2.37 × 9 =
  3. 3.123456 × 9 + 7 =
  4. 4.12 × 9 + 3 =
  5. 5.11 × 11 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 81 =
  8. 8.1111 × 1111 =
  9. 9.12 × 8 + 2 =
  10. 10.11111 × 11111 =
  11. 11.12345679 × 18 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 72 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12345679 × 9 =
  16. 16.1234 × 9 + 5 =
  17. 17.1234567 × 8 + 7 =
  18. 18.37 × 18 =
  19. 19.1234 × 8 + 4 =
  20. 20.123456789 × 8 + 9 =
  21. 21.37 × 15 =
  22. 22.12345 × 9 + 6 =
  23. 23.111111 × 111111 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345 × 8 + 5 =
  26. 26.37 × 12 =
  27. 27.37 × 24 =
  28. 28.12345679 × 36 =
  29. 29.111 × 111 =
  30. 30.37 × 6 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 54 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 27 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 63 =
  37. 37.12345679 × 45 =
  38. 38.37 × 21 =
  39. 39.12 × 9 + 3 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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