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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 297 · 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. 1.12345679 × 18 =
  2. 2.12 × 9 + 3 =
  3. 3.111 × 111 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 54 =
  6. 6.12345678 × 8 + 8 =
  7. 7.37 × 27 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 27 =
  10. 10.11 × 11 =
  11. 11.1234567 × 8 + 7 =
  12. 12.12345679 × 72 =
  13. 13.12345679 × 9 =
  14. 14.37 × 12 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 81 =
  17. 17.37 × 24 =
  18. 18.37 × 18 =
  19. 19.1234 × 8 + 4 =
  20. 20.1234 × 9 + 5 =
  21. 21.37 × 9 =
  22. 22.12 × 8 + 2 =
  23. 23.1111 × 1111 =
  24. 24.37 × 3 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345 × 9 + 6 =
  27. 27.37 × 6 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 36 =
  30. 30.123 × 9 + 4 =
  31. 31.12345 × 8 + 5 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 15 =
  34. 34.1234 × 8 + 4 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 21 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 63 =
  40. 40.37 × 12 =

Answer key

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

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