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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 201 · 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. 2.37 × 3 =
  3. 3.123 × 9 + 4 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345679 × 63 =
  6. 6.11111 × 11111 =
  7. 7.12345679 × 45 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234 × 8 + 4 =
  10. 10.12345679 × 72 =
  11. 11.37 × 27 =
  12. 12.12345 × 8 + 5 =
  13. 13.37 × 15 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 27 =
  16. 16.123 × 8 + 3 =
  17. 17.12345678 × 9 + 9 =
  18. 18.12 × 8 + 2 =
  19. 19.111 × 111 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 21 =
  22. 22.123456789 × 8 + 9 =
  23. 23.37 × 12 =
  24. 24.12345679 × 36 =
  25. 25.111111 × 111111 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 9 =
  28. 28.37 × 6 =
  29. 29.11 × 11 =
  30. 30.1234 × 9 + 5 =
  31. 31.123456 × 8 + 6 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 18 =
  34. 34.12345679 × 18 =
  35. 35.1111 × 1111 =
  36. 36.37 × 24 =
  37. 37.12345679 × 81 =
  38. 38.37 × 21 =
  39. 39.12345679 × 36 =
  40. 40.1111 × 1111 =

Answer key

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

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