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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 413 · 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 × 8 + 2 =
  2. 2.123 × 8 + 3 =
  3. 3.12 × 9 + 3 =
  4. 4.123456789 × 8 + 9 =
  5. 5.37 × 6 =
  6. 6.12345679 × 27 =
  7. 7.37 × 24 =
  8. 8.1234 × 8 + 4 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 72 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345678 × 8 + 8 =
  13. 13.11 × 11 =
  14. 14.11111 × 11111 =
  15. 15.37 × 18 =
  16. 16.12345679 × 45 =
  17. 17.123456 × 8 + 6 =
  18. 18.12345679 × 63 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345679 × 54 =
  21. 21.12345679 × 81 =
  22. 22.111 × 111 =
  23. 23.12345 × 8 + 5 =
  24. 24.1111 × 1111 =
  25. 25.37 × 21 =
  26. 26.37 × 15 =
  27. 27.37 × 9 =
  28. 28.37 × 12 =
  29. 29.12345679 × 9 =
  30. 30.37 × 24 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 18 =
  34. 34.111111 × 111111 =
  35. 35.37 × 27 =
  36. 36.12345679 × 36 =
  37. 37.37 × 12 =
  38. 38.12345679 × 27 =
  39. 39.37 × 3 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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