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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 226 · 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. 1.12345679 × 18 =
  2. 2.12345678 × 8 + 8 =
  3. 3.37 × 3 =
  4. 4.37 × 27 =
  5. 5.12345 × 8 + 5 =
  6. 6.11 × 11 =
  7. 7.37 × 9 =
  8. 8.37 × 6 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345679 × 72 =
  11. 11.11111 × 11111 =
  12. 12.111 × 111 =
  13. 13.12345679 × 36 =
  14. 14.1111 × 1111 =
  15. 15.12345679 × 81 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 24 =
  18. 18.12345 × 9 + 6 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123 × 8 + 3 =
  21. 21.12 × 8 + 2 =
  22. 22.12345678 × 9 + 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 9 =
  26. 26.111111 × 111111 =
  27. 27.37 × 15 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345679 × 45 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12 × 9 + 3 =
  32. 32.12345679 × 72 =
  33. 33.37 × 18 =
  34. 34.1234 × 8 + 4 =
  35. 35.111111 × 111111 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 54 =
  38. 38.37 × 21 =
  39. 39.12345679 × 27 =
  40. 40.37 × 24 =

Answer key

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

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