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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 393 · 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. 2.111111 × 111111 =
  3. 3.12 × 8 + 2 =
  4. 4.123456 × 9 + 7 =
  5. 5.37 × 3 =
  6. 6.37 × 9 =
  7. 7.1234567 × 8 + 7 =
  8. 8.11111 × 11111 =
  9. 9.111 × 111 =
  10. 10.12345679 × 27 =
  11. 11.11 × 11 =
  12. 12.123 × 9 + 4 =
  13. 13.12345678 × 8 + 8 =
  14. 14.123456789 × 8 + 9 =
  15. 15.37 × 21 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 63 =
  18. 18.12345679 × 72 =
  19. 19.37 × 12 =
  20. 20.12345 × 8 + 5 =
  21. 21.37 × 6 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 54 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 36 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 18 =
  29. 29.37 × 27 =
  30. 30.37 × 24 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 18 =
  33. 33.12345678 × 9 + 9 =
  34. 34.111111 × 111111 =
  35. 35.123 × 8 + 3 =
  36. 36.12 × 9 + 3 =
  37. 37.1111 × 1111 =
  38. 38.37 × 15 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345679 × 45 =

Answer key

  1. 11111
  2. 12345654321
  3. 98
  4. 1111111
  5. 111
  6. 333
  7. 9876543
  8. 123454321
  9. 12321
  10. 333333333
  11. 121
  12. 1111
  13. 98765432
  14. 987654321
  15. 777
  16. 999999999
  17. 777777777
  18. 888888888
  19. 444
  20. 98765
  21. 222
  22. 111111111
  23. 111111111
  24. 666666666
  25. 111111
  26. 444444444
  27. 9876
  28. 666
  29. 999
  30. 888
  31. 987654
  32. 222222222
  33. 111111111
  34. 12345654321
  35. 987
  36. 111
  37. 1234321
  38. 555
  39. 98765
  40. 555555555

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