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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 397 · 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 × 9 =
  2. 2.12345679 × 63 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 54 =
  6. 6.12345 × 8 + 5 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 27 =
  9. 9.123456 × 8 + 6 =
  10. 10.123456789 × 8 + 9 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 15 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 36 =
  15. 15.123 × 9 + 4 =
  16. 16.12 × 8 + 2 =
  17. 17.1111 × 1111 =
  18. 18.1234567 × 8 + 7 =
  19. 19.1234 × 8 + 4 =
  20. 20.11111 × 11111 =
  21. 21.12345679 × 72 =
  22. 22.111 × 111 =
  23. 23.37 × 21 =
  24. 24.11 × 11 =
  25. 25.12345678 × 8 + 8 =
  26. 26.37 × 27 =
  27. 27.12345679 × 18 =
  28. 28.12345678 × 9 + 9 =
  29. 29.1234 × 9 + 5 =
  30. 30.37 × 12 =
  31. 31.123 × 8 + 3 =
  32. 32.37 × 9 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 81 =
  35. 35.37 × 3 =
  36. 36.12345679 × 9 =
  37. 37.37 × 24 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 24 =
  40. 40.37 × 6 =

Answer key

  1. 111111111
  2. 777777777
  3. 111
  4. 555555555
  5. 666666666
  6. 98765
  7. 111111
  8. 333333333
  9. 987654
  10. 987654321
  11. 11111111
  12. 555
  13. 12345654321
  14. 444444444
  15. 1111
  16. 98
  17. 1234321
  18. 9876543
  19. 9876
  20. 123454321
  21. 888888888
  22. 12321
  23. 777
  24. 121
  25. 98765432
  26. 999
  27. 222222222
  28. 111111111
  29. 11111
  30. 444
  31. 987
  32. 333
  33. 9876543
  34. 999999999
  35. 111
  36. 111111111
  37. 888
  38. 1111111
  39. 888
  40. 222

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