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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 390 · 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 × 9 =
  2. 2.111111 × 111111 =
  3. 3.1234 × 9 + 5 =
  4. 4.37 × 15 =
  5. 5.1234 × 8 + 4 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 18 =
  8. 8.37 × 24 =
  9. 9.37 × 3 =
  10. 10.12345679 × 36 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 27 =
  13. 13.12345679 × 63 =
  14. 14.123 × 8 + 3 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 81 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 18 =
  19. 19.12 × 8 + 2 =
  20. 20.1234567 × 9 + 8 =
  21. 21.11 × 11 =
  22. 22.12345 × 8 + 5 =
  23. 23.1111 × 1111 =
  24. 24.12 × 9 + 3 =
  25. 25.11111 × 11111 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 6 =
  28. 28.37 × 21 =
  29. 29.37 × 27 =
  30. 30.123456789 × 8 + 9 =
  31. 31.111 × 111 =
  32. 32.37 × 12 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 45 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 36 =
  38. 38.12345678 × 9 + 9 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 72 =

Answer key

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

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