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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 298 · 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. 1.12345678 × 8 + 8 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 6 =
  4. 4.12345 × 9 + 6 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 36 =
  7. 7.1111 × 1111 =
  8. 8.111 × 111 =
  9. 9.111111 × 111111 =
  10. 10.11111 × 11111 =
  11. 11.37 × 15 =
  12. 12.12345679 × 81 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345 × 8 + 5 =
  17. 17.1234 × 9 + 5 =
  18. 18.123456 × 8 + 6 =
  19. 19.37 × 18 =
  20. 20.37 × 24 =
  21. 21.37 × 3 =
  22. 22.12345679 × 27 =
  23. 23.37 × 12 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 45 =
  26. 26.11 × 11 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 72 =
  29. 29.37 × 27 =
  30. 30.37 × 9 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 63 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 18 =
  35. 35.1234 × 8 + 4 =
  36. 36.123 × 9 + 4 =
  37. 37.123456 × 9 + 7 =
  38. 38.37 × 21 =
  39. 39.1234567 × 9 + 8 =
  40. 40.1234567 × 8 + 7 =

Answer key

  1. 98765432
  2. 111
  3. 222
  4. 111111
  5. 98
  6. 444444444
  7. 1234321
  8. 12321
  9. 12345654321
  10. 123454321
  11. 555
  12. 999999999
  13. 111111111
  14. 987654321
  15. 9876
  16. 98765
  17. 11111
  18. 987654
  19. 666
  20. 888
  21. 111
  22. 333333333
  23. 444
  24. 1111
  25. 555555555
  26. 121
  27. 222222222
  28. 888888888
  29. 999
  30. 333
  31. 987
  32. 777777777
  33. 11111111
  34. 222222222
  35. 9876
  36. 1111
  37. 1111111
  38. 777
  39. 11111111
  40. 9876543

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