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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 384 · 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. 1.37 × 24 =
  2. 2.37 × 6 =
  3. 3.12345 × 9 + 6 =
  4. 4.37 × 27 =
  5. 5.37 × 3 =
  6. 6.12345679 × 18 =
  7. 7.12345678 × 9 + 9 =
  8. 8.11 × 11 =
  9. 9.111111 × 111111 =
  10. 10.1234 × 8 + 4 =
  11. 11.37 × 18 =
  12. 12.123456 × 8 + 6 =
  13. 13.111 × 111 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 36 =
  16. 16.12345678 × 8 + 8 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 81 =
  21. 21.12345679 × 54 =
  22. 22.123 × 8 + 3 =
  23. 23.12 × 8 + 2 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 63 =
  26. 26.123456789 × 8 + 9 =
  27. 27.123456 × 9 + 7 =
  28. 28.37 × 12 =
  29. 29.37 × 9 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 27 =
  32. 32.37 × 15 =
  33. 33.1111 × 1111 =
  34. 34.123456 × 9 + 7 =
  35. 35.37 × 21 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 21 =
  38. 38.12345679 × 72 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345679 × 45 =

Answer key

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

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