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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 497 · 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. 1.12 × 9 + 3 =
  2. 2.37 × 3 =
  3. 3.12345679 × 54 =
  4. 4.37 × 24 =
  5. 5.37 × 15 =
  6. 6.12345679 × 36 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 18 =
  10. 10.111111 × 111111 =
  11. 11.1111 × 1111 =
  12. 12.123456 × 9 + 7 =
  13. 13.1234567 × 9 + 8 =
  14. 14.11 × 11 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 12 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 9 =
  19. 19.11111 × 11111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12345679 × 72 =
  23. 23.111 × 111 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 27 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 81 =
  28. 28.1234 × 9 + 5 =
  29. 29.123456 × 8 + 6 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 18 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 21 =
  35. 35.12345679 × 54 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 6 =
  38. 38.37 × 27 =
  39. 39.12345679 × 63 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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