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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 219 · 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. 1.111 × 111 =
  2. 2.37 × 27 =
  3. 3.12345679 × 81 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 18 =
  6. 6.1234 × 8 + 4 =
  7. 7.1234567 × 9 + 8 =
  8. 8.37 × 6 =
  9. 9.11 × 11 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 63 =
  12. 12.12345679 × 27 =
  13. 13.37 × 3 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 54 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 18 =
  18. 18.12 × 8 + 2 =
  19. 19.37 × 9 =
  20. 20.12345679 × 45 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12345679 × 72 =
  23. 23.111111 × 111111 =
  24. 24.37 × 21 =
  25. 25.123456 × 8 + 6 =
  26. 26.11111 × 11111 =
  27. 27.37 × 24 =
  28. 28.1234 × 9 + 5 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 15 =
  31. 31.123456 × 9 + 7 =
  32. 32.123 × 9 + 4 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 9 =
  37. 37.37 × 12 =
  38. 38.12345 × 8 + 5 =
  39. 39.1234567 × 8 + 7 =
  40. 40.11 × 11 =

Answer key

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

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