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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 29 · 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 × 27 =
  2. 2.11 × 11 =
  3. 3.37 × 9 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 18 =
  6. 6.37 × 21 =
  7. 7.37 × 3 =
  8. 8.12345679 × 81 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345678 × 9 + 9 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 24 =
  13. 13.12345679 × 72 =
  14. 14.111111 × 111111 =
  15. 15.12 × 9 + 3 =
  16. 16.37 × 6 =
  17. 17.12345 × 9 + 6 =
  18. 18.123456 × 8 + 6 =
  19. 19.37 × 18 =
  20. 20.12 × 8 + 2 =
  21. 21.12345 × 8 + 5 =
  22. 22.11111 × 11111 =
  23. 23.1234567 × 8 + 7 =
  24. 24.123456 × 9 + 7 =
  25. 25.1234 × 8 + 4 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 27 =
  28. 28.123 × 8 + 3 =
  29. 29.111 × 111 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345679 × 45 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 63 =
  34. 34.12345679 × 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 12 =
  38. 38.12345678 × 9 + 9 =
  39. 39.37 × 18 =
  40. 40.37 × 15 =

Answer key

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

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