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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 391 · 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 × 6 =
  2. 2.11111 × 11111 =
  3. 3.12 × 9 + 3 =
  4. 4.123 × 8 + 3 =
  5. 5.1234 × 8 + 4 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 63 =
  8. 8.111111 × 111111 =
  9. 9.12 × 8 + 2 =
  10. 10.12345 × 9 + 6 =
  11. 11.123456 × 9 + 7 =
  12. 12.1234 × 9 + 5 =
  13. 13.111 × 111 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345679 × 45 =
  16. 16.37 × 21 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 3 =
  19. 19.37 × 15 =
  20. 20.37 × 24 =
  21. 21.12345679 × 27 =
  22. 22.123 × 9 + 4 =
  23. 23.12345679 × 36 =
  24. 24.12345679 × 18 =
  25. 25.11 × 11 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345679 × 81 =
  28. 28.12345679 × 9 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 12 =
  31. 31.1234567 × 9 + 8 =
  32. 32.37 × 18 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345679 × 72 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 27 =
  37. 37.123456 × 9 + 7 =
  38. 38.11111 × 11111 =
  39. 39.37 × 9 =
  40. 40.12345679 × 18 =

Answer key

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

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