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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 405 · 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. 1.1234567 × 8 + 7 =
  2. 2.123456 × 8 + 6 =
  3. 3.37 × 3 =
  4. 4.37 × 9 =
  5. 5.12345678 × 9 + 9 =
  6. 6.111 × 111 =
  7. 7.123456 × 9 + 7 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 9 =
  10. 10.11111 × 11111 =
  11. 11.1111 × 1111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.37 × 12 =
  14. 14.12345679 × 36 =
  15. 15.37 × 27 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 63 =
  19. 19.37 × 15 =
  20. 20.11 × 11 =
  21. 21.12 × 9 + 3 =
  22. 22.123456789 × 8 + 9 =
  23. 23.37 × 24 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12345679 × 72 =
  26. 26.123 × 9 + 4 =
  27. 27.123 × 8 + 3 =
  28. 28.12345679 × 81 =
  29. 29.1234 × 9 + 5 =
  30. 30.37 × 6 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 54 =
  34. 34.111111 × 111111 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 72 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 6 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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