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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 311 · 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. 2.12345679 × 36 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 45 =
  6. 6.123 × 9 + 4 =
  7. 7.11111 × 11111 =
  8. 8.1234567 × 9 + 8 =
  9. 9.111 × 111 =
  10. 10.37 × 27 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 72 =
  13. 13.37 × 6 =
  14. 14.37 × 3 =
  15. 15.12345 × 8 + 5 =
  16. 16.111111 × 111111 =
  17. 17.1111 × 1111 =
  18. 18.37 × 24 =
  19. 19.37 × 15 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345678 × 9 + 9 =
  22. 22.123456 × 9 + 7 =
  23. 23.123 × 8 + 3 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 63 =
  26. 26.37 × 18 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 18 =
  29. 29.11 × 11 =
  30. 30.12345 × 9 + 6 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 21 =
  33. 33.37 × 12 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 54 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 24 =
  39. 39.1234 × 8 + 4 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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