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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 13 · 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. 2.12345679 × 9 =
  3. 3.37 × 9 =
  4. 4.37 × 6 =
  5. 5.123 × 9 + 4 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 36 =
  9. 9.123456 × 8 + 6 =
  10. 10.12345 × 9 + 6 =
  11. 11.12 × 9 + 3 =
  12. 12.1111 × 1111 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 12 =
  15. 15.12345678 × 9 + 9 =
  16. 16.11 × 11 =
  17. 17.123456789 × 8 + 9 =
  18. 18.123456 × 9 + 7 =
  19. 19.123 × 8 + 3 =
  20. 20.12345679 × 54 =
  21. 21.37 × 27 =
  22. 22.111111 × 111111 =
  23. 23.111 × 111 =
  24. 24.12345679 × 18 =
  25. 25.37 × 18 =
  26. 26.11111 × 11111 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12 × 8 + 2 =
  29. 29.37 × 24 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 63 =
  32. 32.12345679 × 81 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 24 =
  35. 35.37 × 15 =
  36. 36.37 × 21 =
  37. 37.12345679 × 27 =
  38. 38.12345679 × 45 =
  39. 39.12345679 × 9 =
  40. 40.12345679 × 72 =

Answer key

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

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