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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 114 · 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. 2.111 × 111 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 27 =
  5. 5.12345679 × 36 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 6 =
  8. 8.1234 × 9 + 5 =
  9. 9.123 × 9 + 4 =
  10. 10.1111 × 1111 =
  11. 11.37 × 12 =
  12. 12.123 × 8 + 3 =
  13. 13.11 × 11 =
  14. 14.12345679 × 18 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 9 =
  17. 17.12345679 × 63 =
  18. 18.37 × 3 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 54 =
  23. 23.12345679 × 45 =
  24. 24.12345679 × 27 =
  25. 25.37 × 18 =
  26. 26.37 × 15 =
  27. 27.37 × 24 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 72 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345678 × 9 + 9 =
  32. 32.37 × 21 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 81 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345679 × 36 =
  38. 38.12345678 × 8 + 8 =
  39. 39.11 × 11 =
  40. 40.111111 × 111111 =

Answer key

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

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