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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 191 · 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 × 54 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 27 =
  4. 4.37 × 12 =
  5. 5.12345679 × 45 =
  6. 6.123 × 9 + 4 =
  7. 7.1111 × 1111 =
  8. 8.12 × 8 + 2 =
  9. 9.12345679 × 36 =
  10. 10.37 × 21 =
  11. 11.37 × 27 =
  12. 12.11111 × 11111 =
  13. 13.11 × 11 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12 × 9 + 3 =
  17. 17.12345678 × 8 + 8 =
  18. 18.111 × 111 =
  19. 19.123456 × 8 + 6 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345679 × 18 =
  23. 23.37 × 24 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 9 =
  26. 26.12345679 × 63 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 3 =
  29. 29.111 × 111 =
  30. 30.1234 × 9 + 5 =
  31. 31.37 × 6 =
  32. 32.111111 × 111111 =
  33. 33.37 × 15 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345678 × 9 + 9 =
  36. 36.1234 × 8 + 4 =
  37. 37.111 × 111 =
  38. 38.12345678 × 8 + 8 =
  39. 39.37 × 18 =
  40. 40.37 × 15 =

Answer key

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

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