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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 187 · 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 × 27 =
  2. 2.12345679 × 63 =
  3. 3.123 × 8 + 3 =
  4. 4.1234567 × 9 + 8 =
  5. 5.111111 × 111111 =
  6. 6.11111 × 11111 =
  7. 7.37 × 6 =
  8. 8.11 × 11 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 9 =
  12. 12.1111 × 1111 =
  13. 13.37 × 24 =
  14. 14.37 × 9 =
  15. 15.1234 × 9 + 5 =
  16. 16.12345679 × 45 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12 × 8 + 2 =
  19. 19.1234 × 8 + 4 =
  20. 20.37 × 3 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 18 =
  23. 23.37 × 21 =
  24. 24.37 × 27 =
  25. 25.12345 × 8 + 5 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 12 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 81 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 9 =
  32. 32.111 × 111 =
  33. 33.12345679 × 72 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 18 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 15 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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