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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 321 · 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. 2.123 × 9 + 4 =
  3. 3.12345679 × 18 =
  4. 4.37 × 15 =
  5. 5.1234 × 8 + 4 =
  6. 6.37 × 27 =
  7. 7.1234 × 9 + 5 =
  8. 8.11 × 11 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 54 =
  11. 11.12345679 × 27 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12 × 9 + 3 =
  14. 14.37 × 24 =
  15. 15.12 × 8 + 2 =
  16. 16.1234567 × 9 + 8 =
  17. 17.37 × 12 =
  18. 18.111 × 111 =
  19. 19.12345679 × 63 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123456 × 8 + 6 =
  22. 22.37 × 9 =
  23. 23.1111 × 1111 =
  24. 24.111111 × 111111 =
  25. 25.12345679 × 72 =
  26. 26.11111 × 11111 =
  27. 27.37 × 21 =
  28. 28.37 × 27 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345679 × 81 =
  31. 31.37 × 18 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 9 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 81 =
  38. 38.37 × 3 =
  39. 39.12345679 × 63 =
  40. 40.37 × 12 =

Answer key

  1. 222
  2. 1111
  3. 222222222
  4. 555
  5. 9876
  6. 999
  7. 11111
  8. 121
  9. 987
  10. 666666666
  11. 333333333
  12. 987654321
  13. 111
  14. 888
  15. 98
  16. 11111111
  17. 444
  18. 12321
  19. 777777777
  20. 98765432
  21. 987654
  22. 333
  23. 1234321
  24. 12345654321
  25. 888888888
  26. 123454321
  27. 777
  28. 999
  29. 9876543
  30. 999999999
  31. 666
  32. 555555555
  33. 111111111
  34. 1111111
  35. 111111
  36. 98765
  37. 999999999
  38. 111
  39. 777777777
  40. 444

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