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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 542 · 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 × 45 =
  2. 2.37 × 9 =
  3. 3.11111 × 11111 =
  4. 4.12345678 × 8 + 8 =
  5. 5.37 × 6 =
  6. 6.12345679 × 36 =
  7. 7.123456 × 9 + 7 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 63 =
  10. 10.1111 × 1111 =
  11. 11.12345 × 8 + 5 =
  12. 12.37 × 18 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 18 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 54 =
  17. 17.1234 × 9 + 5 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 27 =
  20. 20.12 × 8 + 2 =
  21. 21.11 × 11 =
  22. 22.12345 × 9 + 6 =
  23. 23.123 × 9 + 4 =
  24. 24.111 × 111 =
  25. 25.37 × 27 =
  26. 26.37 × 24 =
  27. 27.123 × 8 + 3 =
  28. 28.37 × 21 =
  29. 29.37 × 12 =
  30. 30.1234567 × 8 + 7 =
  31. 31.1234567 × 9 + 8 =
  32. 32.37 × 3 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 9 =
  35. 35.123456789 × 8 + 9 =
  36. 36.111 × 111 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 81 =
  39. 39.37 × 15 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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