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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 445 · 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. 1.1234 × 9 + 5 =
  2. 2.12345679 × 36 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 6 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 81 =
  8. 8.111111 × 111111 =
  9. 9.37 × 3 =
  10. 10.12345679 × 9 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 21 =
  13. 13.1234 × 8 + 4 =
  14. 14.11111 × 11111 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 9 =
  18. 18.123 × 8 + 3 =
  19. 19.12345 × 8 + 5 =
  20. 20.1111 × 1111 =
  21. 21.37 × 18 =
  22. 22.37 × 12 =
  23. 23.12 × 9 + 3 =
  24. 24.37 × 24 =
  25. 25.11 × 11 =
  26. 26.12345679 × 45 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 18 =
  30. 30.111 × 111 =
  31. 31.12345679 × 54 =
  32. 32.37 × 15 =
  33. 33.123 × 9 + 4 =
  34. 34.1234567 × 9 + 8 =
  35. 35.1234567 × 8 + 7 =
  36. 36.37 × 27 =
  37. 37.37 × 18 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345 × 9 + 6 =
  40. 40.111 × 111 =

Answer key

  1. 11111
  2. 444444444
  3. 1111111
  4. 222
  5. 333333333
  6. 888888888
  7. 999999999
  8. 12345654321
  9. 111
  10. 111111111
  11. 98
  12. 777
  13. 9876
  14. 123454321
  15. 111111111
  16. 98765432
  17. 333
  18. 987
  19. 98765
  20. 1234321
  21. 666
  22. 444
  23. 111
  24. 888
  25. 121
  26. 555555555
  27. 111111111
  28. 987654321
  29. 222222222
  30. 12321
  31. 666666666
  32. 555
  33. 1111
  34. 11111111
  35. 9876543
  36. 999
  37. 666
  38. 987654
  39. 111111
  40. 12321

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