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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 471 · 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. 1.1234567 × 8 + 7 =
  2. 2.12345679 × 27 =
  3. 3.111 × 111 =
  4. 4.12 × 9 + 3 =
  5. 5.12345679 × 54 =
  6. 6.12345679 × 18 =
  7. 7.37 × 6 =
  8. 8.1234 × 9 + 5 =
  9. 9.12 × 8 + 2 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 24 =
  12. 12.11111 × 11111 =
  13. 13.37 × 27 =
  14. 14.37 × 15 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 9 =
  17. 17.12345679 × 63 =
  18. 18.12345679 × 72 =
  19. 19.11 × 11 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345679 × 9 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 18 =
  25. 25.12345679 × 45 =
  26. 26.37 × 12 =
  27. 27.123456 × 8 + 6 =
  28. 28.37 × 3 =
  29. 29.1111 × 1111 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345679 × 81 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 36 =
  34. 34.123456789 × 8 + 9 =
  35. 35.123 × 8 + 3 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 24 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 45 =
  40. 40.37 × 15 =

Answer key

  1. 9876543
  2. 333333333
  3. 12321
  4. 111
  5. 666666666
  6. 222222222
  7. 222
  8. 11111
  9. 98
  10. 98765432
  11. 888
  12. 123454321
  13. 999
  14. 555
  15. 98765
  16. 333
  17. 777777777
  18. 888888888
  19. 121
  20. 111111
  21. 111111111
  22. 111111111
  23. 11111111
  24. 666
  25. 555555555
  26. 444
  27. 987654
  28. 111
  29. 1234321
  30. 9876
  31. 999999999
  32. 11111
  33. 444444444
  34. 987654321
  35. 987
  36. 1111
  37. 888
  38. 111111111
  39. 555555555
  40. 555

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