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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 362 · 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 × 21 =
  2. 2.37 × 6 =
  3. 3.123456 × 8 + 6 =
  4. 4.11111 × 11111 =
  5. 5.1111 × 1111 =
  6. 6.111111 × 111111 =
  7. 7.11 × 11 =
  8. 8.37 × 18 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 81 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 54 =
  13. 13.37 × 15 =
  14. 14.111 × 111 =
  15. 15.37 × 9 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 3 =
  18. 18.123 × 9 + 4 =
  19. 19.12345679 × 72 =
  20. 20.1234567 × 8 + 7 =
  21. 21.12345679 × 36 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 27 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 27 =
  26. 26.37 × 24 =
  27. 27.12345679 × 45 =
  28. 28.1234 × 8 + 4 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 9 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 72 =
  35. 35.1234 × 8 + 4 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 15 =
  38. 38.11 × 11 =
  39. 39.12345679 × 18 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 777
  2. 222
  3. 987654
  4. 123454321
  5. 1234321
  6. 12345654321
  7. 121
  8. 666
  9. 98
  10. 999999999
  11. 11111111
  12. 666666666
  13. 555
  14. 12321
  15. 333
  16. 111111111
  17. 111
  18. 1111
  19. 888888888
  20. 9876543
  21. 444444444
  22. 1111111
  23. 333333333
  24. 987
  25. 999
  26. 888
  27. 555555555
  28. 9876
  29. 987654321
  30. 111
  31. 111111111
  32. 98765432
  33. 11111
  34. 888888888
  35. 9876
  36. 11111
  37. 555
  38. 121
  39. 222222222
  40. 111111

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