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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 327 · 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 × 27 =
  2. 2.123456789 × 8 + 9 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345 × 8 + 5 =
  5. 5.12 × 9 + 3 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 24 =
  8. 8.37 × 15 =
  9. 9.12 × 8 + 2 =
  10. 10.111111 × 111111 =
  11. 11.12345678 × 8 + 8 =
  12. 12.37 × 6 =
  13. 13.123 × 9 + 4 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 9 =
  18. 18.11111 × 11111 =
  19. 19.37 × 18 =
  20. 20.12345679 × 72 =
  21. 21.37 × 3 =
  22. 22.1111 × 1111 =
  23. 23.11 × 11 =
  24. 24.1234 × 9 + 5 =
  25. 25.123 × 8 + 3 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 21 =
  28. 28.1234567 × 8 + 7 =
  29. 29.37 × 9 =
  30. 30.12345679 × 36 =
  31. 31.12345679 × 45 =
  32. 32.111 × 111 =
  33. 33.12345679 × 27 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 54 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 63 =
  39. 39.11111 × 11111 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 999
  2. 987654321
  3. 111111
  4. 98765
  5. 111
  6. 11111111
  7. 888
  8. 555
  9. 98
  10. 12345654321
  11. 98765432
  12. 222
  13. 1111
  14. 111111111
  15. 999999999
  16. 222222222
  17. 111111111
  18. 123454321
  19. 666
  20. 888888888
  21. 111
  22. 1234321
  23. 121
  24. 11111
  25. 987
  26. 987654
  27. 777
  28. 9876543
  29. 333
  30. 444444444
  31. 555555555
  32. 12321
  33. 333333333
  34. 1111111
  35. 666666666
  36. 9876
  37. 888888888
  38. 777777777
  39. 123454321
  40. 111111

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